Last visit was: 21 Apr 2026, 22:33 It is currently 21 Apr 2026, 22:33
Home
Messages
Tests
Schools
Events
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
User avatar
Paul
User avatar
Joined: 15 Dec 2003
Last visit: 10 Nov 2012
Posts: 2,707
Own Kudos:
1,651
Posts: 2,707
Kudos: 1,651
Find the largest power of 12 that can divide 200! a. 97 06 Nov 2004, 20:54
Kudos
Add Kudos
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
N
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

History

Date
Time
Result
Not Attempted Yet
Find the largest power of 12 that can divide 200!

a. 97
b. 98
c. 18
d. 17
e. None of these



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
User avatar
Dan
User avatar
Joined: 28 Aug 2004
Last visit: 23 Feb 2006
Posts: 129
Own Kudos:
9
Posts: 129
Kudos: 9
Find the largest power of 12 that can divide 200! a. 97 07 Nov 2004, 01:30
Kudos
Add Kudos
Bookmarks
Bookmark this Post
97.

12 = 2*2*3

in 200!, there are 97 3s and 98 2^2s. So it would be possible to divide 200! by 97.
User avatar
Paul
User avatar
Joined: 15 Dec 2003
Last visit: 10 Nov 2012
Posts: 2,707
Own Kudos:
1,651
Posts: 2,707
Kudos: 1,651
Find the largest power of 12 that can divide 200! a. 97 07 Nov 2004, 15:42
Kudos
Add Kudos
Bookmarks
Bookmark this Post
OA is A
Nice Dan. 12 = 2^2 * 3
3 is the more restrictive parameter so work with that and use the now famous "possessed" method :)
User avatar
NEWKID
User avatar
Joined: 21 Jun 2004
Last visit: 13 Apr 2005
Posts: 186
Own Kudos:
155
Posts: 186
Kudos: 155
Find the largest power of 12 that can divide 200! a. 97 07 Nov 2004, 16:06
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Quote:

12 = 2*2*3

in 200!, there are 97 3s and 98 2^2s. So it would be possible to divide 200! by 97
Show more


I still did not understand how the problem was solved. Paul,can you explain me . :oops:
User avatar
Paul
User avatar
Joined: 15 Dec 2003
Last visit: 10 Nov 2012
Posts: 2,707
Own Kudos:
1,651
Posts: 2,707
Kudos: 1,651
Find the largest power of 12 that can divide 200! a. 97 07 Nov 2004, 16:10
Kudos
Add Kudos
Bookmarks
Bookmark this Post
200/3 = 66
66/3 = 22
22/3 = 7
7/3 = 2
66+22+7+2 = 97 which is the max value for n for which 12^n can divide 200! Read the previous posts where I explained this. I will also try to get the link about this discussion.
User avatar
Paul
User avatar
Joined: 15 Dec 2003
Last visit: 10 Nov 2012
Posts: 2,707
Own Kudos:
1,651
Posts: 2,707
Kudos: 1,651
Find the largest power of 12 that can divide 200! a. 97 07 Nov 2004, 16:16
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Here is the link with the great discussion about that famous method:
https://www.gmatclub.com/phpbb/viewtopic.php?t=10076
User avatar
jeremy02
User avatar
Joined: 12 Aug 2004
Last visit: 18 Jan 2005
Posts: 24
Posts: 24
Kudos: 0
Find the largest power of 12 that can divide 200! a. 97 07 Nov 2004, 17:46
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hi Paul, I understand the the method, I am having a hard time interpreting the question the way each of you have. can you please explain what is meant by "Find the largest power of 12".

Thanks sorry for the remedial question, but we all know the famous saying, stupid questions are ones not asked.
User avatar
Paul
User avatar
Joined: 15 Dec 2003
Last visit: 10 Nov 2012
Posts: 2,707
Own Kudos:
1,651
Posts: 2,707
Kudos: 1,651
Find the largest power of 12 that can divide 200! a. 97 07 Nov 2004, 20:03
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Jeremy, this link should explain the underlying concept tested here.
https://www.gmatclub.com/phpbb/viewtopic.php?t=11190



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
Moderator:
Bunuel
Math Expert
109739 posts