63:@0.942817:0.963100:0.961632:0.963100:0.961632:0.946476:0.942817:0.946476:0.000000:0.000000 M.3.1.14. Identificar múltiplos y divisores de un conjunto de números naturales.:@0.105857:0.092104:0.490896:0.092104:0.490896:0.081525:0.105857:0.081525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 63:@0.942817:0.963099:0.961632:0.963099:0.961632:0.946475:0.942817:0.946475:0.000000:0.000000 Ejemplo 1:@0.096359:0.133739:0.179766:0.133739:0.179766:0.115604:0.096359:0.115604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Formar el conjunto de los múltiplos de 5, y escribir los 6 primeros elementos.:@0.096359:0.158966:0.694733:0.158966:0.694733:0.141087:0.096359:0.141087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Solución:@0.096359:0.184192:0.169152:0.184192:0.169152:0.166057:0.096359:0.166057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Multiplicamos 5 por 0, 1, 2, 3 , 4 y 5. Luego formamos el conjunto con los :@0.096359:0.209419:0.699182:0.209419:0.699182:0.191540:0.096359:0.191540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 productos obtenidos y colocamos tres puntos a continuación para indicar :@0.096359:0.227524:0.699122:0.227524:0.699122:0.209645:0.096359:0.209645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 que el conjunto es infinito.:@0.096359:0.245629:0.309124:0.245629:0.309124:0.227750:0.096359:0.227750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 M = {0, 5, 10, 15, 20, 25…}:@0.156668:0.281839:0.367175:0.281859:0.367175:0.263980:0.156668:0.263960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.172308:0.285311:0.178027:0.285311:0.178027:0.274887:0.172308:0.274887:0.000000 Ejemplo 2:@0.096359:0.417968:0.179766:0.417968:0.179766:0.399833:0.096359:0.399833:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Formar el conjunto de los divisores de 15. :@0.096359:0.443195:0.431973:0.443195:0.431973:0.425316:0.096359:0.425316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Solución:@0.096359:0.468421:0.169152:0.468421:0.169152:0.450286:0.096359:0.450286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Buscamos todos los números menores o iguales que dividen exactamente :@0.096359:0.493648:0.701574:0.493648:0.701574:0.475769:0.096359:0.475769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a 15, y formamos con ellos un conjunto.:@0.096359:0.511753:0.414702:0.511753:0.414702:0.493874:0.096359:0.493874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.096359:0.547963:0.100762:0.547963:0.100762:0.530084:0.096359:0.530084:0.000000 15 ÷ 1 = 15 :@0.156668:0.547963:0.281687:0.547963:0.281687:0.530084:0.156668:0.530084:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 15 ÷ 3 = 5:@0.337593:0.547963:0.436017:0.547963:0.436017:0.530084:0.337593:0.530084:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.096359:0.584173:0.100762:0.584173:0.100762:0.566295:0.096359:0.566295:0.000000 15 ÷ 5 = 3 :@0.156668:0.584173:0.281687:0.584173:0.281687:0.566295:0.156668:0.566295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 15 ÷ 15 = 1 :@0.337593:0.584173:0.485450:0.584173:0.485450:0.566295:0.337593:0.566295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 D = {1, 3, 5, 15}:@0.096359:0.620384:0.329330:0.620404:0.329330:0.602525:0.096359:0.602505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 15:@0.213698:0.623855:0.225136:0.623855:0.225136:0.613432:0.213698:0.613432:0.000000:0.000000 Ejemplo 3:@0.096357:0.677993:0.179764:0.677993:0.179764:0.659858:0.096357:0.659858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Encontrar el valor del factor en la expresión::@0.096357:0.703220:0.460274:0.703220:0.460274:0.685341:0.096357:0.685341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.320500:0.703220:0.331557:0.703220:0.331557:0.684783:0.320500:0.684783:0.000000 :@0.096358:0.739430:0.100760:0.739430:0.100760:0.721551:0.096358:0.721551:0.000000 :@0.156666:0.739430:0.161069:0.739430:0.161069:0.721551:0.156666:0.721551:0.000000 135 = 15 n.:@0.216975:0.739430:0.323845:0.739441:0.323845:0.721563:0.216975:0.721551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ×:@0.291214:0.739341:0.305169:0.739341:0.305169:0.723335:0.291214:0.723335:0.000000 Solución:@0.096361:0.782773:0.169153:0.782773:0.169153:0.764638:0.096361:0.764638:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Para encontrar el valor del factor debemos dividir 135 por 15.:@0.096361:0.807999:0.597984:0.807999:0.597984:0.790121:0.096361:0.790121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.358960:0.807999:0.370017:0.807999:0.370017:0.789562:0.358960:0.789562:0.000000 :@0.096361:0.844210:0.100764:0.844210:0.100764:0.826331:0.096361:0.826331:0.000000 135 15 El factor n es 9 porque 15 9 = 135.:@0.209319:0.844210:0.657058:0.844224:0.657058:0.826345:0.209319:0.826331:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 × :@0.566585:0.844123:0.584728:0.844123:0.584728:0.828118:0.566585:0.828118:0.000000:0.000000 :@0.096369:0.871879:0.109577:0.871879:0.109577:0.854000:0.096369:0.854000:0.000000:0.000000:0.000000 00 :@0.219137:0.871879:0.247563:0.871879:0.247563:0.854000:0.219137:0.854000:0.000000:0.000000:0.000000:0.000000 9:@0.294282:0.871879:0.304092:0.871879:0.304092:0.854000:0.294282:0.854000:0.000000 Shutterstock, 516500185 :@0.930067:0.885805:0.930067:0.810187:0.918156:0.810187:0.918156:0.885805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Cuando tenemos :@0.733902:0.577695:0.853363:0.577695:0.853363:0.562796:0.733902:0.562796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 algún producto en :@0.733902:0.592782:0.862726:0.592782:0.862726:0.577883:0.733902:0.577883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 grandes cantidades , es :@0.733902:0.607870:0.892798:0.607870:0.892798:0.592971:0.733902:0.592971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 importante saber cómo :@0.733902:0.622957:0.895812:0.622957:0.895812:0.608058:0.733902:0.608058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 obtener los divisores de :@0.733902:0.638045:0.895912:0.638045:0.895912:0.623146:0.733902:0.623146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 dicha cantidad a fin de :@0.733902:0.653133:0.889414:0.653133:0.889414:0.638234:0.733902:0.638234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 identificar en cuántos :@0.733902:0.668220:0.881723:0.668220:0.881723:0.653321:0.733902:0.653321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 grupos de partes iguales :@0.733902:0.683308:0.901759:0.683308:0.901759:0.668409:0.733902:0.668409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 se puede dividir.:@0.733902:0.698395:0.842522:0.698395:0.842522:0.683496:0.733902:0.683496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Responde:@0.733902:0.909220:0.803876:0.909220:0.803876:0.894107:0.733902:0.894107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 : ¿todos los :@0.803876:0.909220:0.881155:0.909220:0.881155:0.894321:0.803876:0.894321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 números naturales tienen :@0.733902:0.924307:0.908529:0.924307:0.908529:0.909408:0.733902:0.909408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 divisores? :@0.733902:0.939395:0.801933:0.939395:0.801933:0.924496:0.733902:0.924496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Justifica:@0.801933:0.939395:0.857802:0.939395:0.857802:0.924282:0.801933:0.924282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 .:@0.857802:0.939395:0.860717:0.939395:0.860717:0.924496:0.857802:0.924496:0.000000 Competencia :@0.783879:0.540551:0.884991:0.540551:0.884991:0.523775:0.783879:0.523775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 matemática:@0.783879:0.554382:0.871908:0.554382:0.871908:0.537606:0.783879:0.537606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 • Si es un número :@0.732700:0.109114:0.870638:0.109114:0.870638:0.094215:0.732700:0.094215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a :@0.761883:0.109114:0.773995:0.109114:0.773995:0.093749:0.761883:0.093749:0.000000:0.000000 natural y es divisor :@0.746940:0.125459:0.886705:0.125459:0.886705:0.110560:0.746940:0.110560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b:@0.808405:0.125459:0.817535:0.125459:0.817535:0.110094:0.808405:0.110094:0.000000 de existe un número :@0.746940:0.141803:0.905079:0.141803:0.905079:0.126904:0.746940:0.126904:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a,:@0.767847:0.141803:0.780880:0.141803:0.780880:0.126439:0.767847:0.126439:0.000000:0.000000 natural que, al :@0.746940:0.158148:0.859248:0.158148:0.859248:0.143249:0.746940:0.143249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c:@0.801033:0.158148:0.808237:0.158148:0.808237:0.142784:0.801033:0.142784:0.000000 multiplicarse por , da :@0.746940:0.174493:0.899018:0.174493:0.899018:0.159594:0.746940:0.159594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b:@0.862917:0.174493:0.872047:0.174493:0.872047:0.159129:0.862917:0.159129:0.000000 como resultado ::@0.746940:0.190838:0.867641:0.190838:0.867641:0.175939:0.746940:0.175939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.855680:0.190838:0.864726:0.190838:0.864726:0.175474:0.855680:0.175474:0.000000 b c:@0.746940:0.210741:0.777798:0.210741:0.777798:0.195377:0.746940:0.195377:0.000000:0.000000:0.000000 x = .:@0.756070:0.210741:0.807081:0.210741:0.807081:0.195842:0.756070:0.195842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.795120:0.210741:0.804166:0.210741:0.804166:0.195377:0.795120:0.195377:0.000000 b c:@0.746940:0.230644:0.777982:0.230644:0.777982:0.215280:0.746940:0.215280:0.000000:0.000000:0.000000 y se denominan :@0.756070:0.230644:0.881277:0.230644:0.881277:0.215745:0.756070:0.215745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 factores de .:@0.746940:0.246989:0.836247:0.246989:0.836247:0.232090:0.746940:0.232090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.824286:0.246989:0.833332:0.246989:0.833332:0.231625:0.824286:0.231625:0.000000 Por ejemplo::@0.746940:0.266892:0.830618:0.266892:0.830618:0.251993:0.746940:0.251993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 24 es número natural.:@0.746940:0.286795:0.891545:0.286795:0.891545:0.271896:0.746940:0.271896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4 es divisor de 24.:@0.746940:0.306698:0.864458:0.306698:0.864458:0.291799:0.746940:0.291799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 6 x 4 = 24.:@0.746940:0.326602:0.814402:0.326602:0.814402:0.311703:0.746940:0.311703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 6 y 4 son factores de 24.:@0.746940:0.346505:0.902067:0.346505:0.902067:0.331606:0.746940:0.331606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 • El conjunto de los :@0.732700:0.366408:0.864942:0.366408:0.864942:0.351509:0.732700:0.351509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 divisores de un :@0.746940:0.382753:0.851039:0.382753:0.851039:0.367854:0.746940:0.367854:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 número natural :@0.746940:0.399098:0.854423:0.399098:0.854423:0.384198:0.746940:0.384198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 diferente de cero es :@0.746940:0.415442:0.882432:0.415442:0.882432:0.400543:0.746940:0.400543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 finito.:@0.746940:0.431787:0.784130:0.431787:0.784130:0.416888:0.746940:0.416888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 • Todo número natural es :@0.732700:0.451690:0.905016:0.451690:0.905016:0.436791:0.732700:0.436791:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 divisor de sí mismo.:@0.746940:0.468035:0.877439:0.468035:0.877439:0.453136:0.746940:0.453136:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 • El cero no es divisor de :@0.732700:0.487938:0.898080:0.487938:0.898080:0.473039:0.732700:0.473039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ningún número.:@0.746940:0.504283:0.855058:0.504283:0.855058:0.489384:0.746940:0.489384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Competencia :@0.782678:0.071969:0.883790:0.071969:0.883790:0.055193:0.782678:0.055193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 matemática:@0.782678:0.085799:0.870707:0.085799:0.870707:0.069023:0.782678:0.069023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000 maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000 ®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000