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

 It is currently 24 Oct 2016, 07:51

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Factors

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Manager
Joined: 14 Jul 2010
Posts: 72
Followers: 3

Kudos [?]: 27 [0], given: 2

### Show Tags

15 Aug 2010, 06:29
00:00

Difficulty:

(N/A)

Question Stats:

50% (02:48) correct 50% (10:05) wrong based on 3 sessions

### HideShow timer Statistics

If n is 2^5*3^4*5^3*7^2, How many factors does n has?

16
32
48
120
720
Intern
Joined: 17 Jul 2010
Posts: 15
Followers: 7

Kudos [?]: 4 [2] , given: 23

### Show Tags

15 Aug 2010, 06:44
2
KUDOS
efet wrote:
If n is 2^5*3^4*5^3*7^2, How many factors does n has?

16
32
48
120
720

For this kind of questions, remember a formula:

[highlight]If the prime factorization of a number is in the form of a^x*b^y*c^z, then the

Number of factors = (x+1)*(y+1)*(z+1)[/highlight]

Now, coming to the given question,
number of factors = (5+1)*(4+1)*(3+1)*(2+1) = 6*5*4*3 = 360

Please check if the question you posted is correct and what is the source of the question.
Manager
Joined: 14 Jul 2010
Posts: 72
Followers: 3

Kudos [?]: 27 [0], given: 2

### Show Tags

15 Aug 2010, 06:48
maanavrelan4gmat, great formula. I wish I knew it before.
Re: Factors   [#permalink] 15 Aug 2010, 06:48
Similar topics Replies Last post
Similar
Topics:
Prime factors 1 09 Feb 2011, 13:05
factoring 3 15 Aug 2010, 13:53
Factoring Exponents 1 31 Jul 2010, 14:26
1 Factoring problem 6 19 Jul 2010, 16:54
Factoring 1 12 Jul 2010, 18:53
Display posts from previous: Sort by

# Factors

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 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®.