Find all School-related info fast with the new School-Specific MBA Forum

It is currently 23 Oct 2014, 14:18

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

X is the product of integers from 1 to 8. If 2^m is a factor

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Senior Manager
Senior Manager
avatar
Joined: 08 Aug 2005
Posts: 251
Followers: 1

Kudos [?]: 9 [0], given: 0

X is the product of integers from 1 to 8. If 2^m is a factor [#permalink] New post 26 Apr 2006, 02:36
X is the product of integers from 1 to 8. If 2^m is a factor of x, what is the greatest possible value of m?
Intern
Intern
avatar
Joined: 02 Mar 2006
Posts: 21
Followers: 0

Kudos [?]: 1 [0], given: 0

 [#permalink] New post 26 Apr 2006, 02:39
x = 1*2*3*4*5*6*7*8

when we take all 2's possible we get

2*4*2*8 = 2^7

m=7
Intern
Intern
avatar
Joined: 29 Apr 2006
Posts: 9
Location: Chennai, India
Followers: 0

Kudos [?]: 1 [0], given: 0

 [#permalink] New post 29 Apr 2006, 00:54
An alternate approach

One of the standard ways to find this out will be to successively divide 8 by 2 till you can divide no further and add the quotients.

In this case 8 divided by 2 quotient is 4
4 divided by 2 quotient is 2
2 divided by 2 quotient is 1
2 will not be able to divide 1 further.

Therefore, highest power of 2 that can divide factorial 8 i.e, 1*2*3*...8 will be the sum of the quotients 4 + 2 + 1 = 7
_________________

K S Baskar
Faculty - 4gmat.com

  [#permalink] 29 Apr 2006, 00:54
    Similar topics Author Replies Last post
Similar
Topics:
1 Experts publish their posts in the topic If x is the product of the positive integers from 1 to 8, in divakarbio7 2 20 Jun 2010, 22:52
2 If x is the product of the positive integers from 1 to 8, albany09 2 07 Oct 2008, 09:28
If x is the product of the positive integers from 1 to 8, goalsnr 1 01 Jun 2008, 12:56
If x is the product of the positive integers from 1 to 8 puma 4 15 May 2008, 10:48
If x is the product of the positive integers from 1 to 8, JyotiBharadwaj 11 25 Apr 2007, 21:50
Display posts from previous: Sort by

X is the product of integers from 1 to 8. If 2^m is a factor

  Question banks Downloads My Bookmarks Reviews Important topics  


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®.