If the integers a and n are greater than 1 and the product of the first eight positive integers is a multiple of a^n, what is the value of a?
I understand why 1. is insufficient: a^n could equal 2^5 or 4^3. However, I'm not certain how knowing n=6 tells me what a must be, given that 8! is a multiple of a^n.
Your help is greatly appreciated.
statement 1: a^n = 2^6 or 4^3 or 8 ^2 insuff
statement 2: a ^6, if you break down 8!, 8! = 2^7 * 3 * 5 * 7, the only integer that has an exponent of 6 or greater is number 2, suff
B is my guess