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The positive integer k has exactly two positive prime factor

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Director
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D
Joined: 22 Jun 2014
Posts: 897

Kudos [?]: 419 [0], given: 111

Location: India
Concentration: General Management, Technology
GMAT 1: 540 Q45 V20
GPA: 2.49
WE: Information Technology (Computer Software)
Premium Member CAT Tests
Re: The positive integer k has exactly two positive prime factor [#permalink]

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New post 25 Jun 2017, 21:57
suntorytea wrote:
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 (3 squared) is a factor of k.
(2) 7^2 (7 squared) is NOT a factor of k.

Help would be appreciated! Thanks.

Best regards,
ST


Hi suntorytea,

This question has already been discussed on the forum. If you check the following thread then you'd see really good solutions provided by others:
https://gmatclub.com/forum/the-positive-integer-k-has-exactly-two-positive-prime-factor-60634.html

Suggestion:
First google or use gmatclub search to check whether question already exist on the forum or not
If you have specific query then post on that existing thread.
To tag people use "@"before username

Here are the RULES of posting to help you further on this:
https://gmatclub.com/forum/rules-for-posting-please-read-this-before-posting-133935.html

Hope this helps :)
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Target - 720-740
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Kudos [?]: 419 [0], given: 111

Director
Director
avatar
D
Joined: 22 Jun 2014
Posts: 897

Kudos [?]: 419 [0], given: 111

Location: India
Concentration: General Management, Technology
GMAT 1: 540 Q45 V20
GPA: 2.49
WE: Information Technology (Computer Software)
Premium Member CAT Tests
Re: The positive integer k has exactly two positive prime factor [#permalink]

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New post 25 Jun 2017, 22:02
Bunuel wrote:
suntorytea wrote:
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 (3 squared) is a factor of k.
(2) 7^2 (7 squared) is NOT a factor of k.

Help would be appreciated! Thanks.

Best regards,
ST


Merging topics. Please refer to the discussion above.


Thanks Bunuel for merging. By the time i could post my suggestion, topic was merged. But In general when we're previewing the answer, we get to see if someone has posted in meanwhile or not. but nothing like this in this case.
_________________

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Target - 720-740
http://gmatclub.com/forum/information-on-new-gmat-esr-report-beta-221111.html
http://gmatclub.com/forum/list-of-one-year-full-time-mba-programs-222103.html

Kudos [?]: 419 [0], given: 111

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Joined: 06 Jul 2016
Posts: 412

Kudos [?]: 115 [0], given: 99

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Re: The positive integer k has exactly two positive prime factor [#permalink]

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New post 12 Aug 2017, 12:12
gmatnub wrote:
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?

K > 0
K = \(3^a\)*\(7^b\)
(a+1)(b+1)=6
K = ?

Quote:
(1) 3^2 is a factor of k
(2) 7^2 is NOT a factor of k


1) \(3^2\) is a factor of K
=> (2+1)(b+1)=6
=> b = 1
We can find the value of K.
Sufficient.

2) \(7^2\) is NOT a factor of K
(a+1)(b+1)=6
=> b≠ 2 ; b can only be 1.
=> a = 2, b = 1
We can find the value of K.
Sufficient.

D is the answer.
Great Official Question :)
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Kudos [?]: 115 [0], given: 99

Re: The positive integer k has exactly two positive prime factor   [#permalink] 12 Aug 2017, 12:12

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