20:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
1. :@0.115209:0.637198:0.135654:0.637198:0.135654:0.618504:0.115209:0.618504:0.000000:0.000000:0.000000
Completa:@0.148451:0.637198:0.230289:0.637198:0.230289:0.619062:0.148451:0.619062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los siguientes enunciados.:@0.230288:0.637198:0.443997:0.637198:0.443997:0.619319:0.230288:0.619319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.148786:0.664682:0.165049:0.664682:0.165049:0.646245:0.148786:0.646245:0.000000:0.000000
75 es múltiplo de 5 porque 5 ×:@0.182501:0.664682:0.429160:0.664682:0.429160:0.646803:0.182501:0.646803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= 75,:@0.489864:0.664682:0.529367:0.664682:0.529367:0.646803:0.489864:0.646803:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.603833:0.664682:0.612678:0.664682:0.612678:0.646803:0.603833:0.646803:0.000000
son divisores de 75.:@0.683137:0.664682:0.838691:0.664682:0.838691:0.646803:0.683137:0.646803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.148786:0.696202:0.166476:0.696202:0.166476:0.677764:0.148786:0.677764:0.000000:0.000000
18 es múltiplo de 9 porque 9 ×:@0.182501:0.696202:0.429160:0.696202:0.429160:0.678323:0.182501:0.678323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= 18,:@0.490839:0.696202:0.530342:0.696202:0.530342:0.678323:0.490839:0.678323:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.604808:0.696202:0.613653:0.696202:0.613653:0.678323:0.604808:0.678323:0.000000
son divisores de 18.:@0.684112:0.696202:0.839666:0.696202:0.839666:0.678323:0.684112:0.678323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c):@0.148786:0.727721:0.163863:0.727721:0.163863:0.709284:0.148786:0.709284:0.000000:0.000000
56 es múltiplo de 7 porque 7 ×:@0.182501:0.727721:0.429160:0.727721:0.429160:0.709842:0.182501:0.709842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= 56,:@0.490839:0.727721:0.530342:0.727721:0.530342:0.709842:0.490839:0.709842:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.604808:0.727721:0.613653:0.727721:0.613653:0.709842:0.604808:0.709842:0.000000
son divisores de 56.:@0.684112:0.727721:0.839666:0.727721:0.839666:0.709842:0.684112:0.709842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d):@0.148786:0.759241:0.166516:0.759241:0.166516:0.740804:0.148786:0.740804:0.000000:0.000000
60 es múltiplo de 10 porque 10 ×:@0.182501:0.759241:0.448780:0.759241:0.448780:0.741362:0.182501:0.741362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= 60,:@0.511666:0.759241:0.551168:0.759241:0.551168:0.741362:0.511666:0.741362:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.625636:0.759241:0.634481:0.759241:0.634481:0.741362:0.625636:0.741362:0.000000
son divisores de 60.:@0.704940:0.759241:0.860494:0.759241:0.860494:0.741362:0.704940:0.741362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e):@0.148786:0.790761:0.165210:0.790761:0.165210:0.772324:0.148786:0.772324:0.000000:0.000000
6 es divisor de 24 porque 24 ÷:@0.182501:0.790761:0.423654:0.790761:0.423654:0.772882:0.182501:0.772882:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= 6, así 24 es múltiplo de:@0.486090:0.790761:0.684043:0.790761:0.684043:0.772882:0.486090:0.772882:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y de:@0.754391:0.790761:0.788325:0.790761:0.788325:0.772882:0.754391:0.772882:0.000000:0.000000:0.000000:0.000000
f):@0.148786:0.822280:0.162978:0.822280:0.162978:0.803843:0.148786:0.803843:0.000000:0.000000
12 es divisor de 144 porque 144 ÷:@0.182501:0.822280:0.453082:0.822280:0.453082:0.804401:0.182501:0.804401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= 12, así 144 es múltiplo de:@0.520426:0.822280:0.737999:0.822280:0.737999:0.804401:0.520426:0.804401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g):@0.148786:0.853799:0.166355:0.853799:0.166355:0.835362:0.148786:0.835362:0.000000:0.000000
9 es divisor de 63 porque 63 ÷:@0.182501:0.853799:0.423654:0.853799:0.423654:0.835920:0.182501:0.835920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= 7, así 63 es múltiplo de:@0.483715:0.853799:0.681668:0.853799:0.681668:0.835920:0.483715:0.835920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y de:@0.752018:0.853799:0.785951:0.853799:0.785951:0.835920:0.752018:0.835920:0.000000:0.000000:0.000000:0.000000
2. :@0.115209:0.885508:0.135654:0.885508:0.135654:0.866815:0.115209:0.866815:0.000000:0.000000:0.000000
Completa:@0.148451:0.885508:0.230289:0.885508:0.230289:0.867373:0.148451:0.867373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las igualdades y :@0.230288:0.885508:0.365077:0.885508:0.365077:0.867629:0.230288:0.867629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
escribe:@0.365074:0.885508:0.424981:0.885508:0.424981:0.867373:0.365074:0.867373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los divisores del número 54.:@0.424981:0.885508:0.651154:0.885508:0.651154:0.867629:0.424981:0.867629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Taller:@0.175844:0.594571:0.236739:0.594571:0.236739:0.560624:0.175844:0.560624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplica la descomposición de factores primos para determinar los múltiplos y divisores de números naturales en la resolución de :@0.256865:0.577317:0.877664:0.577317:0.877664:0.566888:0.256865:0.566888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
problemas; expresa con claridad y precisión los resultados obtenidos. (I.3., I.4.) (Ref. I.M.3.3.1.).:@0.256865:0.587879:0.685363:0.587879:0.685363:0.577449:0.256865:0.577449:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los múltiplos de un número natural son aquellos números que se obtienen de multiplicar ese :@0.115209:0.169014:0.884365:0.169014:0.884365:0.151135:0.115209:0.151135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
número por cada uno de los números naturales. Si   es un número natural, la expresión :@0.115209:0.187119:0.856066:0.187119:0.856066:0.169240:0.115209:0.169240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.545318:0.187119:0.554445:0.187119:0.558645:0.169240:0.549519:0.169240:0.000000
M:@0.857888:0.187119:0.873528:0.187119:0.877728:0.169240:0.862088:0.169240:0.000000
a:@0.874058:0.190570:0.879379:0.190570:0.881828:0.180147:0.876507:0.180147:0.000000
 :@0.879897:0.187119:0.884300:0.187119:0.884300:0.169240:0.879897:0.169240:0.000000
corresponde a los múltiplos de  .:@0.115209:0.205224:0.379416:0.205224:0.379416:0.187345:0.115209:0.187345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.365905:0.205224:0.375032:0.205224:0.379232:0.187345:0.370106:0.187345:0.000000
El conjunto de los múltiplos de un número es infinito. El cero es múltiplo de todos los números :@0.115209:0.226894:0.884164:0.226894:0.884164:0.209015:0.115209:0.209015:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
naturales. Todo número natural es múltiplo de sí mismo.:@0.115209:0.244999:0.562691:0.244999:0.562691:0.227120:0.115209:0.227120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El conjunto de los divisores de un número está formado por todos los números que dividen :@0.115209:0.266667:0.884385:0.266667:0.884385:0.248788:0.115209:0.248788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
exactamente a esa cantidad. :@0.115209:0.284772:0.346730:0.284772:0.346730:0.266894:0.115209:0.266894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un número natural es divisor de otro número si lo divide exactamente. :@0.115209:0.306442:0.683348:0.306442:0.683348:0.288563:0.115209:0.288563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si   es el número natural, la expresión   corresponde a los divisores de  . Todo número natural :@0.115209:0.328112:0.884291:0.328112:0.884291:0.310233:0.115209:0.310233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.132641:0.328112:0.141768:0.328112:0.145968:0.310233:0.136842:0.310233:0.000000
D:@0.421493:0.328112:0.434499:0.328112:0.438700:0.310233:0.425693:0.310233:0.000000
a:@0.434869:0.331563:0.440190:0.331563:0.442639:0.321139:0.437318:0.321139:0.000000
a:@0.692341:0.328112:0.701467:0.328112:0.705668:0.310233:0.696541:0.310233:0.000000
es divisor de sí mismo. El cero no es divisor de ningún número. El conjunto de los divisores de un :@0.115209:0.346217:0.884403:0.346217:0.884403:0.328338:0.115209:0.328338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
número es finito. :@0.115209:0.364322:0.254359:0.364322:0.254359:0.346443:0.115209:0.346443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actividad resuelta:@0.115209:0.394942:0.285424:0.394942:0.285424:0.374969:0.115209:0.374969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dados los números naturales  ,   y  , se cumple que: si   es divisor de  , existe un número   que, :@0.115209:0.416296:0.884306:0.416296:0.884306:0.398417:0.115209:0.398417:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b c:@0.349496:0.416296:0.403434:0.416296:0.407634:0.398417:0.353697:0.398417:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.552582:0.416296:0.563679:0.416296:0.567879:0.398417:0.556783:0.398417:0.000000
a:@0.670698:0.416296:0.679825:0.416296:0.684025:0.398417:0.674899:0.398417:0.000000
c:@0.831293:0.416296:0.840259:0.416296:0.844460:0.398417:0.835494:0.398417:0.000000
al multiplicarse por  , da como resultado  ::@0.115209:0.434401:0.458740:0.434401:0.458740:0.416522:0.115209:0.416522:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.271282:0.434401:0.282379:0.434401:0.286580:0.416522:0.275483:0.416522:0.000000
a:@0.445229:0.434401:0.454356:0.434401:0.458556:0.416522:0.449430:0.416522:0.000000
b:@0.114323:0.456071:0.125419:0.456071:0.129620:0.438192:0.118523:0.438192:0.000000
 ×   =   entonces   y   se denominan factores de  .:@0.126306:0.456071:0.536176:0.456071:0.536176:0.438192:0.126306:0.438192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.146206:0.456071:0.155172:0.456071:0.159372:0.438192:0.150406:0.438192:0.000000
a:@0.175956:0.456071:0.185083:0.456071:0.189283:0.438192:0.180157:0.438192:0.000000
b c:@0.268187:0.456071:0.305900:0.456071:0.310100:0.438192:0.272387:0.438192:0.000000:0.000000:0.000000
a:@0.522666:0.456071:0.531792:0.456071:0.535993:0.438192:0.526866:0.438192:0.000000
Encuentra  , si;   = 30;   = 6;   = ? Si   es divisor de 30 existe un número natural que multiplicado :@0.115209:0.477740:0.884355:0.477740:0.884355:0.459862:0.115209:0.459862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.200860:0.477740:0.209223:0.477740:0.209223:0.460948:0.200860:0.460948:0.000000
a:@0.235184:0.477740:0.244311:0.477740:0.248512:0.459862:0.239385:0.459862:0.000000
b:@0.292524:0.477740:0.302636:0.477740:0.302636:0.460948:0.292524:0.460948:0.000000
c:@0.340152:0.477740:0.348514:0.477740:0.348514:0.460948:0.340152:0.460948:0.000000
b:@0.397101:0.477740:0.408198:0.477740:0.412399:0.459862:0.401302:0.459862:0.000000
por 6 da como resultado 30: 6 × 5 = 30, entonces   = 5:@0.115209:0.495846:0.550992:0.495846:0.550992:0.477967:0.115209:0.477967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.510544:0.495846:0.519509:0.495846:0.523710:0.477967:0.514744:0.477967:0.000000
Escribimos:@0.115209:0.517514:0.205330:0.517514:0.205330:0.499379:0.115209:0.499379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los seis primeros múltiplos de 4: M  = {0, 4, 8, 12, 16, 20}:@0.205328:0.517514:0.648984:0.517514:0.648984:0.499635:0.205328:0.499635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.484030:0.520965:0.489749:0.520965:0.489749:0.510542:0.484030:0.510542:0.000000
Escribimos:@0.115209:0.539183:0.205330:0.539183:0.205330:0.521048:0.115209:0.521048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 todos los divisores de 24: D  = {1, 2, 3, 4, 6, 8, 12, 24}:@0.205328:0.539183:0.622781:0.539183:0.622781:0.521305:0.205328:0.521305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
24:@0.426497:0.542635:0.437935:0.542635:0.437935:0.532211:0.426497:0.532211:0.000000:0.000000
 M.3.1.14. Identificar múltiplos y divisores de un conjunto de números naturales.:@0.125388:0.074999:0.495769:0.074999:0.495769:0.064570:0.125388:0.064570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Múltiplos y divisores:@0.115891:0.141978:0.415373:0.141978:0.415373:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8:@0.054138:0.115022:0.076372:0.115022:0.076372:0.057990:0.054138:0.057990:0.000000
54 = 1 ×:@0.148789:0.914682:0.215390:0.914682:0.215390:0.896804:0.148789:0.896804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
; 54 = 2 ×:@0.262121:0.914682:0.336622:0.914682:0.336622:0.896804:0.262121:0.896804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
; 54 = 3 ×:@0.385839:0.914682:0.460340:0.914682:0.460340:0.896804:0.385839:0.896804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
; 54 = 6 ×:@0.508215:0.914682:0.582716:0.914682:0.582716:0.896804:0.508215:0.896804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
; D  {:@0.631117:0.914682:0.673392:0.914682:0.673392:0.896804:0.631117:0.896804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
54:@0.652023:0.918134:0.663461:0.918134:0.663461:0.907710:0.652023:0.907710:0.000000:0.000000
}:@0.871603:0.914682:0.876930:0.914682:0.876930:0.896804:0.871603:0.896804:0.000000
©:@0.933104:0.690727:0.933104:0.681663:0.915057:0.681663:0.915057:0.690727:0.000000
maya:@0.934326:0.681663:0.934326:0.645544:0.909338:0.645544:0.909338:0.681663:0.000000:0.000000:0.000000:0.000000
®:@0.926506:0.645544:0.926506:0.641915:0.915984:0.641915:0.915984:0.645544:0.000000
 EDUCACIÓN – Ejemplar sin valor comercial – Prohibida su venta:@0.933104:0.641915:0.933104:0.327090:0.915057:0.327090:0.915057:0.641915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
15:@0.448295:0.664222:0.467915:0.664222:0.467915:0.646343:0.448295:0.646343:0.000000:0.000000
2:@0.454875:0.695843:0.464686:0.695843:0.464686:0.677964:0.454875:0.677964:0.000000
8:@0.454875:0.726724:0.464686:0.726724:0.464686:0.708845:0.454875:0.708845:0.000000
9:@0.448174:0.852704:0.457985:0.852704:0.457985:0.834825:0.448174:0.834825:0.000000
4:@0.712981:0.790343:0.722791:0.790343:0.722791:0.772464:0.712981:0.772464:0.000000
6:@0.477340:0.757345:0.487150:0.757345:0.487150:0.739466:0.477340:0.739466:0.000000
4:@0.449850:0.790343:0.459660:0.790343:0.459660:0.772464:0.449850:0.772464:0.000000
15:@0.636714:0.664222:0.656335:0.664222:0.656335:0.646343:0.636714:0.646343:0.000000:0.000000
2:@0.643295:0.695843:0.653105:0.695843:0.653105:0.677964:0.643295:0.677964:0.000000
8:@0.643295:0.726724:0.653105:0.726724:0.653105:0.708845:0.643295:0.708845:0.000000
7:@0.816965:0.852704:0.826775:0.852704:0.826775:0.834825:0.816965:0.834825:0.000000
6:@0.662407:0.757345:0.672218:0.757345:0.672218:0.739466:0.662407:0.739466:0.000000
5:@0.562210:0.664222:0.572020:0.664222:0.572020:0.646343:0.562210:0.646343:0.000000
9:@0.563885:0.695843:0.573695:0.695843:0.573695:0.677964:0.563885:0.677964:0.000000
7:@0.563885:0.726724:0.573695:0.726724:0.573695:0.708845:0.563885:0.708845:0.000000
9:@0.709631:0.852704:0.719441:0.852704:0.719441:0.834825:0.709631:0.834825:0.000000
6:@0.818640:0.790343:0.828450:0.790343:0.828450:0.772464:0.818640:0.772464:0.000000
10:@0.579769:0.757345:0.599390:0.757345:0.599390:0.739466:0.579769:0.739466:0.000000:0.000000
12:@0.479056:0.821539:0.498676:0.821539:0.498676:0.803661:0.479056:0.803661:0.000000:0.000000
1, 2, 3, 6, 9, 18, 27, 54:@0.690494:0.915073:0.853710:0.915073:0.853710:0.897194:0.690494:0.897194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
54:@0.227875:0.914682:0.247496:0.914682:0.247496:0.896804:0.227875:0.896804:0.000000:0.000000
9:@0.603181:0.914682:0.612991:0.914682:0.612991:0.896804:0.603181:0.896804:0.000000
27:@0.352662:0.914682:0.372283:0.914682:0.372283:0.896804:0.352662:0.896804:0.000000:0.000000
18:@0.474809:0.914682:0.494429:0.914682:0.494429:0.896804:0.474809:0.896804:0.000000:0.000000
12:@0.762463:0.821539:0.782083:0.821539:0.782083:0.803661:0.762463:0.803661:0.000000:0.000000