GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 19 Mar 2019, 03:05 ### 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

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. ### Request Expert Reply # The positive integer k has exactly two positive prime factors, 3 and 7

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
Intern  B
Joined: 01 Nov 2018
Posts: 6
The positive integer k has exactly two positive prime factors, 3 and 7  [#permalink]

### Show Tags 00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

### HideShow timer Statistics

P.S - sorry if I failed to find this using the search tool. I looked into the existing DS database; but could not find this question...
________________________________________________

The positive integer k has exactly two positive prime factors, 3 and 7. If k has a total of 6 positive factors, including 1 and k, what is the value of k ?

(1) 3^{2} is a factor of K.
(2) 7^{2} is not a factor of K.

Need help with this question. The answer to this is option # D; however I am not able to understand how....

Here is my analysis -

6 total factors including, 1, 3, 7, and k. So, let's call the the missing two factors as x and y.

(1) - indicates that 3^2 is a factor - that means there is one more three in the factor list - so lets say x = 3. That leaves y unknown. it could be 3 or 7. Nobody said 3^3 is not a factor.
(2) - indicates that 7^2 is not a factor - this does not mean 7^3 is also not a factor. Hence x and y could be both = 3 or both = 7.

So, in this way, the answer should be C - Together we can say that both the other missing factors are 3 which would suffice conditions 1 and 2.

Please explain how the answer is D. !!

Thank you!
Intern  B
Joined: 01 Nov 2018
Posts: 6
Re: The positive integer k has exactly two positive prime factors, 3 and 7  [#permalink]

### Show Tags

I found the solution below in the similar question thread and I see my mistake. I confused prime factors with actual factors!

Thanks to Bunnel and everyone who contributed to that thread!
__________________________________________________
Math Expert V
Joined: 02 Sep 2009
Posts: 53698
Re: The positive integer k has exactly two positive prime factors, 3 and 7  [#permalink]

### Show Tags

1
rshah13 wrote:
P.S - sorry if I failed to find this using the search tool. I looked into the existing DS database; but could not find this question...
________________________________________________

The positive integer k has exactly two positive prime factors, 3 and 7. If k has a total of 6 positive factors, including 1 and k, what is the value of k ?

(1) 3^{2} is a factor of K.
(2) 7^{2} is not a factor of K.

Need help with this question. The answer to this is option # D; however I am not able to understand how....

Here is my analysis -

6 total factors including, 1, 3, 7, and k. So, let's call the the missing two factors as x and y.

(1) - indicates that 3^2 is a factor - that means there is one more three in the factor list - so lets say x = 3. That leaves y unknown. it could be 3 or 7. Nobody said 3^3 is not a factor.
(2) - indicates that 7^2 is not a factor - this does not mean 7^3 is also not a factor. Hence x and y could be both = 3 or both = 7.

So, in this way, the answer should be C - Together we can say that both the other missing factors are 3 which would suffice conditions 1 and 2.

Please explain how the answer is D. !!

Thank you!

Discussed here: https://gmatclub.com/forum/the-positive ... fl=similar
_________________ Re: The positive integer k has exactly two positive prime factors, 3 and 7   [#permalink] 20 Feb 2019, 22:03
Display posts from previous: Sort by

# The positive integer k has exactly two positive prime factors, 3 and 7

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