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

It is currently 20 Apr 2014, 23:09

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

If p is an integer, then p is divisible by how many positive

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Senior Manager
Senior Manager
User avatar
Joined: 25 Nov 2006
Posts: 337
Schools: St Gallen, Cambridge, HEC Montreal
Followers: 2

Kudos [?]: 20 [0], given: 0

GMAT Tests User
If p is an integer, then p is divisible by how many positive [#permalink] New post 08 Feb 2009, 12:03
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
If p is an integer, then p is divisible by how many positive integers?

(1) p=2^x, where x is a prime number.

(2) p=x^2, where x is a prime number.
Intern
Intern
Joined: 07 Jan 2009
Posts: 19
Location: Boston/Cleveland
Followers: 0

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

Re: DS- 12 [#permalink] New post 08 Feb 2009, 12:41
This one is kind of similar like the other one you posted I think.
1. This one should be easy to figure out, as x gets larger there will be more divisible integers so we don't know wtf the exact number is going to be
2. This one we just have to factor X^2 -> X,X -> oh wait that's it, since x is a prime number. Answer is B.

Factoring is the right terminology right?

Last edited by vladmoney on 06 Mar 2009, 12:08, edited 1 time in total.
Senior Manager
Senior Manager
Joined: 30 Nov 2008
Posts: 495
Schools: Fuqua
Followers: 10

Kudos [?]: 114 [0], given: 15

GMAT Tests User
Re: DS- 12 [#permalink] New post 08 Feb 2009, 14:09
IMO B. The approach is slightly different.

The number of possible factors of a number is the product of (powers of each distinct prime factor + 1)

For ex, Possible factors of 24 can be found as follows -

24 = 2^3 * 3 ==> powers of 2 and 3 are 3, 1 ==> Possible factors of 24 are (3+1) * (1 + 1) = 4 * 2 = 8.

Now coming back to our question, it is asking what is the number of possible factors of p.

From stmt 1, it is given p = 2^x. Possible factors will be x + 1. depending of x, the value keeps changing. Hence insufficient.

From Stmt 2, it is given that p = x^2 where x is a prime. So the possible factors of P will be 2 + 1 = 3. Sufficent.
SVP
SVP
User avatar
Joined: 07 Nov 2007
Posts: 1833
Location: New York
Followers: 23

Kudos [?]: 390 [0], given: 5

GMAT Tests User
Re: DS- 12 [#permalink] New post 08 Feb 2009, 14:15
lumone wrote:
If p is an integer, then p is divisible by how many positive integers?

(1) p=2^x, where x is a prime number.

(2) p=x^2, where x is a prime number.



B.


p= x^2 = 1.x.x ( x is prime number)

P always divisible by 3 positive integers.. (1,x,x^2)
_________________

Your attitude determines your altitude
Smiling wins more friends than frowning

Re: DS- 12   [#permalink] 08 Feb 2009, 14:15
    Similar topics Author Replies Last post
Similar
Topics:
New posts 1 If p ^3 is divisible by 80, then the positive integer p must ggarr 2 07 Feb 2007, 13:06
This topic is locked, you cannot edit posts or make further replies. New Experts publish their posts in the topic If n is an integer, then n is divisible by how many positive zetaexmachina 3 11 Jun 2008, 22:47
New posts 1 Experts publish their posts in the topic If n is an integer, then n divisible by how many positive Baten80 6 19 Feb 2011, 09:29
New posts If n is an integer, then n is divisible by how many positive vinayrsm 6 02 Jul 2011, 00:10
New posts Experts publish their posts in the topic If p and q are positive integers, how many integers are lar smartyman 3 02 Dec 2013, 19:35
Display posts from previous: Sort by

If p is an integer, then p is divisible by how many positive

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

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®.