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# Help:Integer/factor question

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Intern
Joined: 12 Nov 2018
Posts: 5

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26 Feb 2019, 03:31
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0% (00:00) correct 100% (00:55) wrong based on 2 sessions

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

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D. EACH statement ALONE is sufficient.

E. Statements (1) and (2) TOGETHER are NOT sufficient.
Math Expert
Joined: 02 Sep 2009
Posts: 53738

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26 Feb 2019, 03:34
sk0796 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) \small 3^{2} is a factor of K.
(2) \small 7^{2} is not a factor of K.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D. EACH statement ALONE is sufficient.

E. Statements (1) and (2) TOGETHER are NOT sufficient.

Discussed here: https://gmatclub.com/forum/the-positive ... 60634.html Hope it helps.

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Re: Help:Integer/factor question   [#permalink] 26 Feb 2019, 03:34
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