If m = 3^n, what is the greatest value of n for which m is a

If m = 3^n, what is the greatest value of n for which m is a factor of 25!

(A) 8
(B) 10
(C) 12
(D) 14
(E) 16

My Question: Please provide an explanation on how to arrive at the answer.

Disclaimer: I have used the Search Box Before Posting. I used the first sentence of the question or a string of words exactly as they show up in the question below for my search. I did not receive an exact match for my question.

Source: Veritas Prep; Book 02
Chapter: Homework
Topic: Arithmetic
Question: 106
Question: Page 252
Solution: PDF Page 29 of 32