If 170!/10^n is an integer, what is the largest possible value of n? Choose the correct choice from the following answers:
A) 47 B) 46 C) 41 D) 48 E) 45

Rationale: "the question actually asks the highest power of 10 which divides 300 ! ( for a number to be an integer - without any remainder all the trailing zeroe ' s must be divided by the denominator ) 10 = 2 x 5 170 factorial will have 41 as - 170 / 5 = 34 34 / 5 = 6 6 / 5 = 1 so answer will be ( c ) 41"
Answer: C