n is a positive integer and k is the product of all integers from 1 to n inclusive. If k is a multiple of 1500, then what is the smallest possible value of n?  Choose the correct option
A) 8 B) 10 C) 12 D) 15 E) 20
1500=2^2*3*5^3   5^3 means that n must be at least 15. That is, we need 5, 10, and 15.   The answer is 15.
<result>D</result>
n is a positive integer and k is the product of all integers from 1 to n inclusive. If k is a multiple of 1500, then what is the smallest possible value of n?