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# Help on a "properties of numbers" question!

Author Message
Intern
Joined: 21 Feb 2018
Posts: 1
Help on a "properties of numbers" question!  [#permalink]

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21 Feb 2018, 10:57
00:00

Difficulty:

(N/A)

Question Stats:

100% (00:00) correct 0% (00:00) wrong based on 1 sessions

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Data sufficiency question:

Does the integer k have at least three positive prime factors

1. k/15 is an integer
2. k/10 is an integer

the answer in my book has the answer that both statements together are sufficient. It says that the three prime factors are 15, 3, and 5. I may be reading this problem wrong, but wouldn't replacing k with either 3 or 5 in number one leave it as a fraction? Thus, making it not an integer?

the same thing for number two. it says the three prime factors are 10, 2, and 5. wouldn't replacing k in number 2 or 5 leave it as a fraction? Thus making it not an integer?

--== Message from the GMAT Club Team ==--

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This discussion does not meet community quality standards. It has been retired.

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Math Expert
Joined: 02 Sep 2009
Posts: 51215
Re: Help on a "properties of numbers" question!  [#permalink]

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21 Feb 2018, 11:00
josephmoon211 wrote:
Data sufficiency question:

Does the integer k have at least three positive prime factors

1. k/15 is an integer
2. k/10 is an integer

the answer in my book has the answer that both statements together are sufficient. It says that the three prime factors are 15, 3, and 5. I may be reading this problem wrong, but wouldn't replacing k with either 3 or 5 in number one leave it as a fraction? Thus, making it not an integer?

the same thing for number two. it says the three prime factors are 10, 2, and 5. wouldn't replacing k in number 2 or 5 leave it as a fraction? Thus making it not an integer?

Discussed here: does-the-integer-k-have-at-least-three-different-positive-135551.html

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________
Re: Help on a "properties of numbers" question! &nbs [#permalink] 21 Feb 2018, 11:00
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