If m = 3^n, what is the greatest value of n for which m is a factor of 25!	Choose the correct choice from the following answers
A) 8	B) 10	C) 12	D) 14	E) 16

Rationale: "we should find the highest power of 3 in 25 ! : 25 / 3 + 25 / 3 ^ 2 = 8 + 2 = 10 ( take only the quotient into account ) . . so the highest power of 3 in 25 ! is 10 . answer : b ."
Answer: B