Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 26 May 2017, 13:25

### 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

# A question regarding factors of perfect square

Author Message
TAGS:

### Hide Tags

Intern
Joined: 04 Aug 2009
Posts: 10
Followers: 0

Kudos [?]: 3 [0], given: 1

A question regarding factors of perfect square [#permalink]

### Show Tags

29 Aug 2010, 11:23
If we are given that a perfect square say x^2 is divisible by n (a non perfect square integer) then it is always true that x^2 = k* n^2?

Is it always true?

Manager
Joined: 25 Jun 2010
Posts: 91
Followers: 1

Kudos [?]: 41 [0], given: 0

Re: A question regarding factors of perfect square [#permalink]

### Show Tags

29 Aug 2010, 11:59
What if x=9 and n= 27 ?
Then k will be fractional.

Posted from my mobile device
GMAT Tutor
Joined: 24 Jun 2008
Posts: 1180
Followers: 438

Kudos [?]: 1606 [0], given: 4

Re: A question regarding factors of perfect square [#permalink]

### Show Tags

29 Aug 2010, 14:53
If we are given that a perfect square say x^2 is divisible by n (a non perfect square integer) then it is always true that x^2 = k* n^2?

Is it always true?

No, that is not always true, at least if you mean for k to be an integer. If you take x^2 = 16, say, then x^2 is divisible by 8, but not by 8^2.

It *is* however true when n is prime. That is, if x is an integer, and x^2 is divisible by a prime p, then x^2 is certainly divisible by p^2.
_________________

GMAT Tutor in Toronto

If you are looking for online GMAT math tutoring, or if you are interested in buying my advanced Quant books and problem sets, please contact me at ianstewartgmat at gmail.com

Re: A question regarding factors of perfect square   [#permalink] 29 Aug 2010, 14:53
Similar topics Replies Last post
Similar
Topics:
1 Perfect square 6 16 May 2017, 06:17
2 Question Regarding Multiples, factors and primes! 7 02 May 2017, 11:21
Perfect Square/Cube 1 31 May 2011, 12:23
1 Perfect Square 13 10 Sep 2012, 15:11
Perfect square.... 1 09 Nov 2010, 10:15
Display posts from previous: Sort by