Cuantos divisores tienen los numeros : 12, 19, 44 y 80?
Cuantos divisores tienen los numeros : 12, 19, 44 y 80?
Cuantos divisores tienen los numeros : 12, 19, 44 y 80?
Pregunta de Matemáticas · 1 respuesta · 8 votos · mejor respuesta de Edgars9
Respuesta : Explicación paso a paso : D2 = [1, 2]
D3 = [1, 3]
D4 = [1, 2, 4]
D5 = [1, 5]
D6 = [1, 2, 3, 6]
D7 = [1, 7]
D8 = [1, 2, 4, 8]
D9 = [1, 3, 9]
D10 = [1, 2, 5, 10]
D11 = [1, 11]
D12 = [1, 2, 3, 4, 6, 12]
D13 = [1, 13]
D14 = [1, 2, 7, 14]
D15 = [1, 3, 5, 15]
D16 = [1, 2, 4, 8, 16]
D17 = [1, 17]
D18 = [1, 2, 3, 6, 9, 18]
D19 = [1, 19]
D20 = [1, 2, 4, 5, 10, 20]
D21 = [1, 3, 7, 21]
D22 = [1, 2, 11, 22]
D23 = [1, 23]
D24 = [1, 2, 3, 4, 6, 8, 12, 24]
D25 = [1, 5, 25]
D26 = [1, 2, 13, 26]
D27 = [1, 3, 9, 27]
D28 = [1, 2, 4, 7, 14, 28]
D29 = [1, 29]
D30 = [1, 2, 3, 5, 6, 10, 15, 30]
D31 = [1, 31]
D32 = [1, 2, 4, 8, 16, 32]
D33 = [1, 3, 11, 33]
D34 = [1, 2, 17, 34]
D35 = [1, 5, 7, 35]
D36 = [1, 2, 4, 6, 9, 18, 36]
D37 = [1, 37]
D38 = [1, 2, 19, 38]
D39 = [1, 3, 13, 39]
D40 = [1, 2, 4, 5, 8, 10, 20, 40]
D41 = [1, 41]
D42 = [1, 2, 6, 7, 21, 42]
D43 = [1, 43]
D44 = [1, 2, 4, 11, 22, 42]
D45 = [1, 3, 5, 9, 15, 45]
D46 = [1, 2, 23, 46]
D47 = [1, 47]
D48 = [1, 2, 3, 4, 6, 8, 12, 16, 24, 48]
D49 = [1, 7, 49]
D50 = [1, 2, 5, 10, 25, 50]
D51 = [1, 13, 17, 51]
D52 = [1, 2, 4, 13, 26, 52]
D53 = [1, 53]
D54 = [1, 2, 3, 6, 9, 18, 27, 54]
D55 = [1, 5, 11, 55]
D56 = [1, 2, 4, 7, 8, 14, 28, 56]
D57 = [1, 57]
D58 = [1, 2, 29, 58]
D59 = [1, 59]
D60 = [1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60]
D61 = [1, 61]
D62 = [1, 2, 31, 62]
D63 = [1, 3, 7, 9, 21, 63]
D64 = [1, 2, 4, 8, 16, 32, 64]
D65 = [1, 5, 13, 65]
D66 = [1, 2, 3, 6, 11, 22, 33, 66]
D67 = [1, 67]
D68 = [1, 2, 4, 17, 34, 68]
D69 = [1, 3, 23, 69]
D70 = [1, 2, 5, 7, 10, 14, 35, 70]
D71 = [1, 71]
D72 = [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72]
D73 = [1, 73]
D74 = [1, 2, 37, 74]
D75 = [1, 5, 15, 75]
D76 = [1, 2, 4, 19, 38, 76]
D77 = [1, 7, 11, 77]
D78 = [1, 2, 3, 6, 13, 26, 39, 78]
D79 = [1, 79]
D80 = [1, 2, 4, 5, 8, 10, 16, 20, 40, 80]
D81 = [1, 3, 9, 27, 81]
D82 = [1, 2, 41, 82]
D83 = [1, 83]
D84 = [1, 2, 4, 21, 42, 84]
D85 = [1, 5, 17, 85]
D86 = [1, 2, 43, 86]
D87 = [1, 87]
D88 = [1, 2, 4, 8, 11, 22, 44, 88]
D89 = [1, 89]
D90 = [1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90]
D91 = [1, 7, 13, 91]
D92 = [1, 2, 46, 92]
D93 = [1, 3, 31, 93]
D94 = [1, 2, 47, 94]
D95 = [1, 5, 19, 95]
D96 = [1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48.
96]
D97 = [1, 97]
D98 = [1, 2, 7, 14, 49, 98]
D99 = [1, 3, 9, 11, 33, 99]
D100 = [1, 2, 4, 5, 10, 20, 25, 50, 100].
Descomponemos 1200 en sus factores primos : 1200 | 2 600 | 2 300 | 2 150 | 2 75 | 3 25 | 5 5 | 5 1 | ⇒ 1200 = 2⁴ . 3¹ . 5² Luego, la cantidad de divisores está dado por el producto de los exponentes aumentados en 1 de…
19 divisores 1 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840, para un total de 32 divisores.
⭐SOLUCIÓN : 180 tiene un total de 18 divisores. ¿Cómo se determina? Hallamos primeramente los divisores de 180, tomando en cuenta sus factores primos : 180|2 90|2 45|3 15|3 5|5 1 Por lo que podemos expresar 180 como : 2…