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

 It is currently 24 Apr 2015, 16:37

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

M20-02. If x is a prime number, what is the greatest factor

Author Message
Math Expert
Joined: 02 Sep 2009
Posts: 27053
Followers: 4183

Kudos [?]: 40298 [0], given: 5420

M20-02. If x is a prime number, what is the greatest factor [#permalink]  23 May 2014, 08:51
Expert's post
m20 q02

If $$x$$ is a prime number, what is the greatest factor of $$x^2$$?

(1) $$x^2$$ is an odd number
(2) The greatest common factor of $$x$$ and 6 is 3
_________________
Math Expert
Joined: 02 Sep 2009
Posts: 27053
Followers: 4183

Kudos [?]: 40298 [0], given: 5420

Re: M20-02. If x is a prime number, what is the greatest factor [#permalink]  23 May 2014, 08:57
Expert's post
Official Solution:

If $$x$$ is a prime number, what is the greatest factor of $$x^2$$?

Note that the greatest factor of a positive integer is that positive integer itself. For example the greatest factor of 10 is 10 itself. So, basically we should find the value of $$x$$ to answer the question.

(1) $$x^2$$ is an odd number. This statement just tells us that $$x$$ could be any prime but 2, so it's clearly insufficient to determine the single numerical value of $$x$$.

(2) The greatest common factor of $$x$$ and 6 is 3. Since $$x$$ is a prime number then $$x=3$$ (no other prime can have 3 as a factor), so the greatest factor of $$x^2=9$$ is 9. Sufficient,

_________________
Re: M20-02. If x is a prime number, what is the greatest factor   [#permalink] 23 May 2014, 08:57
Similar topics Replies Last post
Similar
Topics:
6 What is the greatest prime factor of 422+752+6300 4 12 Mar 2015, 11:08
8 What is the greatest prime factor of 3^6 - 1 ? 6 01 Sep 2013, 17:59
1 Greatest prime factor 2 18 Aug 2009, 18:50
2 greatest prime factor 6 17 Jul 2009, 13:39
greatest prime factor 2 24 Apr 2009, 23:42
Display posts from previous: Sort by

M20-02. If x is a prime number, what is the greatest factor

Moderators: Bunuel, WoundedTiger

 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®.