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# If x and y are positive integers, is x a factor of 12?

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Manager
Joined: 06 Jun 2012
Posts: 129
If x and y are positive integers, is x a factor of 12?  [#permalink]

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26 Jul 2013, 01:38
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Difficulty:

35% (medium)

Question Stats:

63% (01:10) correct 37% (01:05) wrong based on 247 sessions

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If x and y are positive integers, is x a factor of 12?

(1) The product of xy is a factor of 12
(2) y =3

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Math Expert
Joined: 02 Sep 2009
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Re: If x and y are positive integers, is x a factor of 12?  [#permalink]

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26 Jul 2013, 01:59
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If x and y are positive integers, is x a factor of 12?

(1) The product of xy is a factor of 12 --> 12/(xy)=integer --> 12/x=y*integer=integer. Sufficient.

(2) y =3. Clearly insufficient.

P.S. Please do not reword or shorten the questions. Thank you.
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Re: If x and y are positive integers, is x a factor of 12?  [#permalink]

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28 Jul 2013, 00:01
Hi bunuel

What if x=18 and y=3 then xy is a factor of 12 but x is not a factor of 12.

Can u pl help me
Intern
Joined: 16 Jul 2012
Posts: 1
Re: If x and y are positive integers, is x a factor of 12?  [#permalink]

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28 Jul 2013, 03:33
sravanigayatri wrote:
Hi bunuel

What if x=18 and y=3 then xy is a factor of 12 but x is not a factor of 12.

Can u pl help me

In the above case XY is a multiple of 12 not a factor. A factor means a divisor which doesn't leave remainder. So factors of 12 are 1,2,3,4,6 and 12
Math Expert
Joined: 02 Sep 2009
Posts: 50623
Re: If x and y are positive integers, is x a factor of 12?  [#permalink]

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28 Jul 2013, 03:34
sravanigayatri wrote:
Hi bunuel

What if x=18 and y=3 then xy is a factor of 12 but x is not a factor of 12.

Can u pl help me

If x=18 and y=3, then xy=54. 54 is NOT a factor of 12.
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Re: If x and y are positive integers, is x a factor of 12?  [#permalink]

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28 Jul 2013, 03:35
vvraman wrote:
sravanigayatri wrote:
Hi bunuel

What if x=18 and y=3 then xy is a factor of 12 but x is not a factor of 12.

Can u pl help me

In the above case XY is a multiple of 12 not a factor. A factor means a divisor which doesn't leave remainder. So factors of 12 are 1,2,3,4,6 and 12

xy=54 is not a multiple of 12 either.
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Re: If x and y are positive integers, is x a factor of 12?  [#permalink]

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08 Nov 2017, 01:14
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Re: If x and y are positive integers, is x a factor of 12? &nbs [#permalink] 08 Nov 2017, 01:14
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