Harvard MIT Mathematical Tournament | HMMT-2003| School of Olympiad (L-18)

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Harvard MIT Mathematical Tournament | HMMT-2003| School of Olympiad (L-18)

Find the smallest n such that n factorial ends in 290 zeroes.
Find the smallest n such that n! ends in 290 zeroes.

This question involves the knowledge about the exponent of 5 in n!

This question was asked in Harvard MIT Mathematical Tournament | HMMT-2003

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