La suma de divisores de 462?
La suma de divisores de 462.
La suma de divisores de 462.
En resumen
Descomponemos el número : 462 = 2 * 3 * 7 * 11 Suma de divisores : Si : <img src="https://tex.z-dn.net/?f=N%3Da%5E%7Bx%7D%2Ab%5E%7By%7D%2Ac%5E%7Bz%7D%20%2A..." /> <img src="https://tex.z-dn.net/?
Descomponemos el número :
462 = 2 * 3 * 7 * 11
Suma de divisores :
Si :
<img src="https://tex.z-dn.net/?f=N%3Da%5E%7Bx%7D%2Ab%5E%7By%7D%2Ac%5E%7Bz%7D%20%2A..." />
<img src="https://tex.z-dn.net/?f=SD%3D%20%28%5Cfrac%7B%20a%5E%7Bx%2B1%7D-1%7D%7Ba-1%7D%29%2A%28%5Cfrac%7B%20b%5E%7By%2B1%7D-1%7D%7Bb-1%7D%29%2A%28%5Cfrac%7B%20c%5E%7Bz%2B1%7D-1%7D%7Bc-1%7D%29%2A..." />
Entonces :
<img src="https://tex.z-dn.net/?f=SD%28462%29%3D%28%5Cfrac%7B2%5E%7B1%2B1%7D-1%7D%7B2-1%7D%29%2A%28%5Cfrac%7B3%5E%7B1%2B1%7D-1%7D%7B3-1%7D%29%2A%28%5Cfrac%7B7%5E%7B1%2B1%7D-1%7D%7B7-1%7D%29%2A%28%5Cfrac%7B11%5E%7B1%2B1%7D-1%7D%7B11-1%7D%29" />
<img src="https://tex.z-dn.net/?f=SD%28462%29%3D%28%5Cfrac%7B2%5E%7B2%7D-1%7D%7B1%7D%29%2A%28%5Cfrac%7B3%5E%7B2%7D-1%7D%7B2%7D%29%2A%28%5Cfrac%7B7%5E%7B2%7D-1%7D%7B6%7D%29%2A%28%5Cfrac%7B11%5E%7B2%7D-1%7D%7B10%7D%29" />
<img src="https://tex.z-dn.net/?f=SD%28462%29%3D%284-1%29%2A%28%5Cfrac%7B9-1%7D%7B2%7D%29%2A%28%5Cfrac%7B49-1%7D%7B6%7D%29%2A%28%5Cfrac%7B121-1%7D%7B10%7D%29" />
<img src="https://tex.z-dn.net/?f=SD%28462%29%3D%283%29%2A%28%5Cfrac%7B8%7D%7B2%7D%29%2A%28%5Cfrac%7B48%7D%7B6%7D%29%2A%28%5Cfrac%7B120%7D%7B10%7D%29" />
<img src="https://tex.z-dn.net/?f=SD%28462%29%3D%283%29%2A%284%29%2A%288%29%2A%2812%29" />
<img src="https://tex.z-dn.net/?f=SD%28462%29%3D1152" />
Por lo tanto, la suma de los divisores de 462 es 1152.
Divisores de 70 descomponemos 70 2(mitad) 35 5(quinta) 7 7(septima) 1 70 = 2 * 5 * 7 = 2¹ * 5¹ * 7¹ Cantidad de divisores de 70 = (1 + 1)(1 + 1)(1 + 1) = 2 * 2 * 2 = 8 70 tienen 8 divisores Divisores de 70 son 1, 2, 5,…
Falso En el 14 suman 9 Y en el 15 suman 8.
6 + 9 + 18 = 33 espero que te ayude.