Find the number of trailing zeroes

Number Theory Level 2

Find the number of trailing zeroes in 4600! .


The answer is 1148.

Manish Dash by Manish Dash , 22, India

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1 solution

Manish Dash
Apr 21, 2015

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Moderator note:

This solution has been marked incomplete. You did not explain we must calculate ∑ k = 1 5 ⌊ 4600 5 k ⌋ \displaystyle \sum_{k=1}^5 \left \lfloor \frac {4600}{5^k} \right \rfloor .

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