If 350!/10^n is an integer, what is the largest possible value of n?	Choose the correct answer: A) 88 B) 82 C) 86 D) 87 E) 80

Rationale: "the question actually asks the highest power of 10 which divides 350 ! ( for a number to be an integer - without any remainder all the trailing zeroe ' s must be divided by the denominator ) 10 = 2 x 5 350 factorial will have 86 as - 350 / 5 = 70 70 / 5 = 14 14 / 5 = 2 so answer will be ( c ) 86"
Answer: C