Number of trailing zeros

Rarely Tested

Number of trailing zeros of n! in base b(b=$$p^m$$, where p is a prime number) is for $$k\ge1$$ $$\frac{1}{m}\left(\Sigma\left[\frac{n}{p^k}\right]\ \right)$$

Question 1

What is the difference in the number of zeroes at the end of 134! when 134! is written in base 7 and in base 10?

Question 2

If 25! is expressed in base 12, what is the number of zeroes at the end of the number?

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