fauji wrote:
What is the highest power of 30 that can divide 31!?
A. 1
B. 7
C. 14
D. 15
E. 26
Asked: What is the highest power of 30 that can divide 31!?
30 = 2*3*5
Power of 2 in 31! = 15 + 7 + 3 + 1 = 26
Power of 3 in 31! = 10 + 3 +1 = 14
Power of 5 in 31! = 6 + 1 = 7
Power of 2*3*5 in 31! = min (26,14,7) = 7
IMO B
