It is currently 17 Dec 2017, 15:39

### 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

# Events & Promotions

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

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

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
Math Expert
Joined: 02 Sep 2009
Posts: 42652

Kudos [?]: 135982 [0], given: 12719

M20-02. If x is a prime number, what is the greatest factor [#permalink]

### Show Tags

23 May 2014, 08:51
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
_________________

Kudos [?]: 135982 [0], given: 12719

Math Expert
Joined: 02 Sep 2009
Posts: 42652

Kudos [?]: 135982 [0], given: 12719

Re: M20-02. If x is a prime number, what is the greatest factor [#permalink]

### Show Tags

23 May 2014, 08:57
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,

Answer: B.
_________________

Kudos [?]: 135982 [0], given: 12719

Re: M20-02. If x is a prime number, what is the greatest factor   [#permalink] 23 May 2014, 08:57
Display posts from previous: Sort by

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

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

Moderator: Bunuel

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne 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®.