The factorial on n, written n!, is defined by n! = 1 x 2 x 3 x ... x (n-2) x (n-1) x n.

For how many positive integer values of k less than 50 is it possible to find a value of n such that n! ends in exactly k zeros?

The factorial on n, written n!, is defined by n! = 1 x 2 x 3 x ... x (n-2) x (n-1) x n. For how many positive integer values of k less than 50 is it possible to find a value of n such that n! ends in exactly k zeros?
1 Comment
Andrey Dyukmedzhiev
9/11/2016 07:39:06 am
The highest degree of a prime number p, which divides n! is given by
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