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dunkin77: Master | Next Rank: 500 Posts; Posts: 269; Joined: Sun Apr 01, 2007 5:41 am

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

OA will follow.

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Source: Beat The GMAT — Problem Solving | Thu Jun 14, 2007 11:24 am

Neo2000: Legendary Member; Posts: 519; Joined: Sat Jan 27, 2007 7:56 am; Location: India; Thanked: 31 times

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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ashok_uddaraju: Junior | Next Rank: 30 Posts; Posts: 11; Joined: Sun Mar 11, 2007 6:53 pm

by ashok_uddaraju » Thu Jun 21, 2007 1:08 am

thanks for the easy way of explaining

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moneyman: Master | Next Rank: 500 Posts; Posts: 468; Joined: Sat Mar 03, 2007 10:17 pm; Thanked: 5 times

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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