N factorial is

n n is a positive integer such that

n ! n! = 2 15 {\quad2}^{15} × 3 6 {\times\quad 3}^{ 6 } × 5 3 {\times\quad 5}^{3} × 7 2 {\times\quad 7}^{2} × 11 × 13 {\times\quad11\times13}

What is the value of n n


The answer is 16.

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2 solutions

Can you speak English?

What? This is highly offensive and inappropriate, let alone not an answer.

Zach Abueg - 3 years, 10 months ago
Joshue Galvan
Nov 19, 2015

N!=1x2x3x4x5... Debido a que el orden de los factores no altera el producto, se hace un cambio de forma que la configuración en factores primos te quede como si fuera un número factorial. En factores primos tenemos 16=2x2x2x2 15=3x5 14=7x2 13=13 12=2x2x3 11=11 10=2x5 9=3x3 8=2x2x2 7=7 6=2x3 5=5 4=2x2 3=3 2=2, multiplicando todos los términos se obtiene el resultado.

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