If 100!/30^n is an integer, which of the following is the greatest possible value of n?
Select
A) 28 B) 24 C) 20 D) 15 E) 10
30^n = 2^n * 3^n * 5^n   100! has 97 2's, 48 3's and 24 5's   Since each of 2, 3 and 5 is required to form 30 and there are only 24 5's there can only be 24 30's in 100!   Answer: 24
<result>B</result>
If 100!/30^n is an integer, which of the following is the greatest possible value of n?