Saturday, July 16, 2016

number theory - Concecutive last zeroes in expansion of 100!








In decimal form, the number 100! ends in how many consecutive zeroes. I am thinking of the factorization of 100! but I am stuck. I try to count them and since there are 10, 20, 30,..., 100, there are at least 11 zeros. How should I proceed.

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