If n is a positive integer and the product of all the integers from 1 to n, inclusive, is a multiple of 1000, what is the least possible value of n? Choose the correct choice from the following.
A) 12  B) 11  C) 14  D) 13  E) 15
1000 = 2*2*2*5*5*5, so we need 3 factors of 2 and 3 factors of 5. Therefore, the smallest value of n is 15, so the answer is 15.
<result>E</result>
If n is a positive integer and the product of all the integers from 1 to n, inclusive, is a multiple of 1000, what is the least possible value of n?