If x is the product of the integers from 1 to 150, inclusive, and 5^y is a factor of x, what is the greatest possible value of y ?\nOptions:\n(A) 30\n(B) 34\n(C) 36\n(D) 37\n(E) 39 Let's think first. Stream of consciousness:
User
It basically asks for the number of 5s in 150!\n150/5 + 150/25 + 150/125 = 30 + 6 + 1. Hence 37
So, the answer is (D).
Assistant