Question

If n is a positive integer and the product of all integers from 1 to n, inclusive, is a multiple of 990, what is the least possible value of n?

A. 10B. 11C. 12D. 13E. 14

Answer 1

B. 11

Explanation:

When n = 11

The product of 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 and 11 is 39,916,800

39,916,800 is a multiple of 990