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by dunkin77 » Thu Jun 14, 2007 11:24 am
If p is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of p?

A. 10
B. 12
C. 14
D. 16
E. 18



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by Neo2000 » Thu Jun 14, 2007 6:27 pm
p is Factorial 30

Highest value of 3^k in 30! is given by

30/3 = 10
10/3 = 3
3/3 = 1

Adding 10+3+1 = 14

Hence k = 14
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by ashok_uddaraju » Thu Jun 21, 2007 1:08 am
thanks for the easy way of explaining
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by moneyman » Sat Jul 07, 2007 9:59 pm
Hi neo..can u pls explain this part

30/3 = 10
10/3 = 3
3/3 = 1
Maxx
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