Question: If n is the greatest positive integer for which 4^n is a factor of 8!, then n =?
Options:
(A) 2
(B) 4
(C) 6
(D) 8
(E) 10 Random thoughts:
8! = 40320
E. 4^10 = 1048576 (40320/1048576) - this is not a factor of 8!
D. 4^8 = 65536 (40320/65536) - this is not a factor of 8!
C. 4^6 = 4096 (40320/4096) - this is not a factor of 8!
B. 4^4 = 256 (40320/256) - this is not a factor of 8!
A. 4^2 = 16 (40320/16) - this is a factor of 8! The final answer: (A).