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

It is currently 18 Sep 2014, 23:58

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

A is a prime number (A>2). If C = A^3, by how many

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
SVP
SVP
User avatar
Joined: 05 Apr 2005
Posts: 1736
Followers: 3

Kudos [?]: 33 [0], given: 0

GMAT Tests User
A is a prime number (A>2). If C = A^3, by how many [#permalink] New post 14 Aug 2005, 19:44
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
A is a prime number (A>2). If C = A^3, by how many different integers can C be equally divided?

(a) 3.
(b) 4.
(c) 5.
(d) 6.
(e) 7.

(Edit: I've edited the question stem to add the power sign. Himalaya, please edit the post back if the edit does not reflect the correct version. - Hong)
Manager
Manager
avatar
Joined: 14 Jul 2005
Posts: 105
Location: Sofia, Bulgaria
Followers: 1

Kudos [?]: 3 [0], given: 0

 [#permalink] New post 14 Aug 2005, 23:19
I think there is a flaw in the stem. Since both 3 and A are prime numbers, C is divisible by

1
3
A
3A

This way it seems that the correct answer is (B). But if A=3, two of the divisors are the same, and we have only 3 different divisors.
SVP
SVP
User avatar
Joined: 03 Jan 2005
Posts: 2255
Followers: 12

Kudos [?]: 198 [0], given: 0

GMAT Tests User
 [#permalink] New post 15 Aug 2005, 18:54
Looks like A^3 only have 1, A, A^2 and itself as its divisors.
_________________

Keep on asking, and it will be given you;
keep on seeking, and you will find;
keep on knocking, and it will be opened to you.

SVP
SVP
User avatar
Joined: 05 Apr 2005
Posts: 1736
Followers: 3

Kudos [?]: 33 [0], given: 0

GMAT Tests User
 [#permalink] New post 15 Aug 2005, 19:14
HongHu wrote:
A is a prime number (A>2). If C = A^3, by how many different integers can C be equally divided?

(Edit: I've edited the question stem to add the power sign. Himalaya, please edit the post back if the edit does not reflect the correct version. - Hong)


Thank you honghu, that's correct and doesnot change anything.
Senior Manager
Senior Manager
avatar
Joined: 30 May 2005
Posts: 374
Followers: 1

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

GMAT Tests User
 [#permalink] New post 15 Aug 2005, 19:44
If a positive integer N can be represented in terms of prime factors as:

N = A^p * B^q * C^r....

the total number of factors that it has is (p+1)(q+1)(r+1)....

Answer here is 3+1 = 4
Senior Manager
Senior Manager
avatar
Joined: 04 May 2005
Posts: 284
Location: CA, USA
Followers: 1

Kudos [?]: 11 [0], given: 0

GMAT Tests User
 [#permalink] New post 15 Aug 2005, 21:16
N = A^p * B^q * C^r....

the total number of factors that it has is (p+1)(q+1)(r+1)....

That is a good formula !

Looks like for A^p (factor can be A^0 ... A^p) => (p+1)
for B^q, similarly => (q+1)
SVP
SVP
User avatar
Joined: 05 Apr 2005
Posts: 1736
Followers: 3

Kudos [?]: 33 [0], given: 0

GMAT Tests User
Re: PS: I [#permalink] New post 16 Aug 2005, 18:33
the question is asking how many factors does C=A^3 have? the factors are:
C= A^3 = 1 x A^3 = A x A^2 = A^2 x A = A^3x1
so 1, A, A^2 and A^3, altogather 4.

OA is B.
Re: PS: I   [#permalink] 16 Aug 2005, 18:33
    Similar topics Author Replies Last post
Similar
Topics:
30 Experts publish their posts in the topic How many different prime numbers are factors of the positive enigma123 12 29 Jan 2012, 17:31
5 Experts publish their posts in the topic A is a prime number (A>2) AtifS 6 05 Mar 2010, 23:23
If n = 4p where p is a prime number > 2, how many diff axl_oz 2 16 Dec 2006, 19:21
How many numbers from 2 to 50 are not prime and are such yessuresh 3 27 May 2006, 13:22
How many prime numbers are in a set of 10 positive cloudz9 2 04 Jun 2005, 15:12
Display posts from previous: Sort by

A is a prime number (A>2). If C = A^3, by how many

  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®.