Last visit was: 20 Nov 2025, 06:00 It is currently 20 Nov 2025, 06:00
Home
GMAT
Messages
Tests
Schools
Events
Rewards
Chat
My Profile
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
User avatar
LM
User avatar
Joined: 03 Sep 2006
Last visit: 04 Apr 2015
Posts: 444
Own Kudos:
7,673
 [6]
Given Kudos: 33
Posts: 444
Kudos: 7,673
 [6]
If n is a positive integer, is 30 a factor of n ? (1) 30 is a factor 26 Jan 2012, 06:38
Kudos
Add Kudos
6
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

25% (medium)

Question Stats:

72% (01:09) correct 28% (01:23) wrong based on 210 sessions

History

Date
Time
Result
Not Attempted Yet
If n is a positive integer, is 30 a factor of n ?

(1) 30 is a factor of n^2
(2) 30 is a factor of 2n
ShowHide Answer
Official Answer
A
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 20 Nov 2025
Posts: 105,416
Own Kudos:
778,499
 [1]
Given Kudos: 99,987
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 105,416
Kudos: 778,499
 [1]
If n is a positive integer, is 30 a factor of n ? (1) 30 is a factor 26 Jan 2012, 08:49
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
If n is a positive integer, is 30 a factor of n ?

(1) 30 is a factor of n^2

    If 30 = 2*3*5 is NOT a factor of n (if 2, 3 and 5 are not factors of n), then how these factors appeared in n^2? Exponentiation doesn't "produce" primes. Sufficient.

(2) 30 is a factor of 2n

    Clearly insufficient: if n = 15 then NO but if n = 30 then YES. Not sufficient.

Answer: A.
avatar
Drik
avatar
Joined: 16 Apr 2009
Last visit: 22 May 2018
Posts: 14
Own Kudos:
59
 [1]
Given Kudos: 12
Posts: 14
Kudos: 59
 [1]
If n is a positive integer, is 30 a factor of n ? (1) 30 is a factor 04 Jan 2013, 23:12
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
daviesj
Is 30 a factor of n?

(1) 30 is a factor of the square of n
(2) 30 is a factor of 2n

I doubt on OA...plz clarify

Every GMAT divisibility question will tell you in advance that any unknowns represent positive integers, which means that ALL GMAT divisibility questions are limited to positive integers only.

If n is not an integer, then the question does not make sense (at least for GMAT) .

The question should read:
If n is an integer, is 30 a factor of n?

(1) 30 is a factor of n^2. If 30=2*3*5 is not a factor of n (if 2, 3 and 5 are not factors of n), then how this factors could appear in n^2? Exponentiation doesn't "produce" primes. Sufficient.

(2) 30 is a factor of 2n. Clearly insufficient: if n=15 then the answer is NO but if n=30 then the answer is YES. Not sufficient.

Answer: A.
Show more

Bunnel-
Is it not possible that for Statement 1:

If the number is 900 and 30 is a factor of 900, then it is possible that 30 (which is ) is a factor of the square root of 900. In the contrary, 60 is also a factor of 900 but is not a factor of the square root of 900.

Please shed some light..
Thanks
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 20 Nov 2025
Posts: 105,416
Own Kudos:
778,499
Given Kudos: 99,987
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 105,416
Kudos: 778,499
If n is a positive integer, is 30 a factor of n ? (1) 30 is a factor 05 Jan 2013, 03:35
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Drik
Bunuel
daviesj
Is 30 a factor of n?

(1) 30 is a factor of the square of n
(2) 30 is a factor of 2n

I doubt on OA...plz clarify

Every GMAT divisibility question will tell you in advance that any unknowns represent positive integers, which means that ALL GMAT divisibility questions are limited to positive integers only.

If n is not an integer, then the question does not make sense (at least for GMAT) .

The question should read:
If n is an integer, is 30 a factor of n?

(1) 30 is a factor of n^2. If 30=2*3*5 is not a factor of n (if 2, 3 and 5 are not factors of n), then how this factors could appear in n^2? Exponentiation doesn't "produce" primes. Sufficient.

(2) 30 is a factor of 2n. Clearly insufficient: if n=15 then the answer is NO but if n=30 then the answer is YES. Not sufficient.

Answer: A.

Bunnel-
Is it not possible that for Statement 1:

If the number is 900 and 30 is a factor of 900, then it is possible that 30 (which is ) is a factor of the square root of 900. In the contrary, 60 is also a factor of 900 but is not a factor of the square root of 900.

Please shed some light..
Thanks
Show more

If prime number p is a factor of n^2 (where n is a positive integer), then p must be a factor of n.

So, the fact that 2, 3, and 5 are factors of n^2 means that 2, 3 and 5 must also be factors of n.

But if p^2 is a factor of n^2 (where n is a positive integer), then p^2 may or may not be a factor of n.

For example, if 60=2^2*3*5 is a factor of n^2, then all primes of 60 must also be factors of n, but 2^2 may or may not be a factor of n, so 60 may or may not be a factor of n.

Hope it's clear.
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,599
Own Kudos:
1,079
Posts: 38,599
Kudos: 1,079
If n is a positive integer, is 30 a factor of n ? (1) 30 is a factor 22 Aug 2024, 14:13
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Moderators:
Bunuel
Math Expert
105416 posts
kingbucky
496 posts