Trailing Zeros in factorial

Number Theory Level pending

10! = 3628800; The number of trailing zeros on the end of 10! = 2

Find the number of trailing zeros on the end of 10000!


The answer is 2499.

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1 solution

Aareyan Manzoor
Dec 10, 2014

no of trailing zero in X! is n = 1 x 5 n \sum_{n=1}^\infty ⌊ \frac{x}{5^n}⌋

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