GMAT Prep DS4

[ri2007]

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

OA - B

[jayhawk2001]

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

1 - insuf.
2^6, 4^3, 8^2 all of them yield a value of 64

2 - suf.
8! = x * a^6
Breaking down 8! into its factors,
2*3*4*5*6*7*8 = 2^7 * 3^2 * 5 * 7
'a' has to be 2

Hence B