least possible value of n

[abhi332]

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

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

ANS: B

[Pedros]

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

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

ANS: B

The product of all integers from 1 to N inclusive is a multiple of 990

Prime factorization of 990 yields 2,3,3,5, and 11.

so the numbers from 1 to N must include 11 . So N's least possible value is 11