What is the greatest positive integer n such that 3^n is a factor of 36^100?  Options:	A) 100	B) 200	C) 300	D) 600	E) 900
Prime factorization out is the way to go here!   36 ^100   3^2 times 2^2 and both to the power of 100   [(3^2)*(2^2)]^100   giving you the beautifully simplistic answer of 3^200 and 2^200   Ans is 200   ANSWER:200
<result>B</result>
What is the greatest positive integer n such that 3^n is a factor of 36^100?