If the integers \(a\) and \(n\) are greater than 1 and the product of the first 8 positive integers is a multiple of

[Vincen]

If the integers \(a\) and \(n\) are greater than 1 and the product of the first 8 positive integers is a multiple of \(a^n,\) what is the value of \(a ?\)

(1) \(a^n = 64\)
(2) \(n=6\)

Answer: B

Source: GMAT Prep