Find all School-related info fast with the new School-Specific MBA Forum
Learn more about the recent changes... close

It is currently 20 May 2013, 00:15
Customize  |  Hide

Search
Register
New posts
Unanswered

If p is the product of the integers from 1 to 30, inclusive,

  Question banks Downloads My Bookmarks Reviews  
  Oldest Best Reply
Search for:
 
Print view
First unread post
Author Message
TAGS:
Intern
Intern
Joined: 15 Oct 2007
Posts: 15
Followers: 0

Kudos [?]: 0 [0], given: 0

If p is the product of the integers from 1 to 30, inclusive, [#permalink] New post 17 Oct 2007, 01:53
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
VP
VP
User avatar
Joined: 09 Jul 2007
Posts: 1114
Location: London
Followers: 4

Kudos [?]: 55 [0], given: 0

GMAT Tests User
Re: Factor Q [#permalink] New post 17 Oct 2007, 03:18
mistahfold wrote:
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


it is 30!
1*2*3*4*....27*28*29*30

there are 10 integers divisible by 3 (30/3=10)

3,3*2,3*3,3*4,3*5...3*3*3,10*3

14 C
Director
Director
User avatar
Joined: 03 May 2007
Posts: 903
Schools: University of Chicago, Wharton School
Followers: 4

Kudos [?]: 30 [0], given: 6

GMAT Tests User
Re: Factor Q [#permalink] New post 17 Oct 2007, 07:34
mistahfold wrote:
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


30/3 = 10
30/9 = 3
30/27 = 1
sum = 14

so C.
Re: Factor Q   [#permalink] 17 Oct 2007, 07:34
    Similar topics Author Replies Last post
Similar
Topics:
 New posts If p is the product of the integers from 1 to 30, inclusive, nakib77 4 11 Nov 2005, 05:22
New posts If p is the product of the integers from 1 to 30, inclusive, sperumba 7 15 Jan 2006, 11:00
New posts If p is the product of the integers from 1 to 30, inclusive, rishi2377 7 28 Jun 2007, 13:04
New posts 1 If p is the product of the integers from 1 to 30, inclusive, rnemani 7 05 Aug 2008, 08:29
New posts If p is the product of the integers from 1 to 30, inclusive, dancinggeometry 5 06 Sep 2008, 00:24
Display posts from previous: Sort by

If p is the product of the integers from 1 to 30, inclusive,

  Question banks Downloads My Bookmarks Reviews  
Print view
First unread post

Moderators: Bunuel, VeritasPrepKarishma

Search for:


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com