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# If A is the factor of B and B is the factor of A then which of the fol

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Joined: 12 Aug 2015
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Schools: Boston U '20 (M)
GRE 1: Q169 V154
If A is the factor of B and B is the factor of A then which of the fol  [#permalink]

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20 Jul 2016, 09:03
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If A is the factor of B and B is the factor of A then which of the following must be true?
A) A=B
B) A=-B
C) A=1
D) A=B or A=-B
E) A=0 or B=0

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Joined: 12 Sep 2015
Posts: 4233
Re: If A is the factor of B and B is the factor of A then which of the fol  [#permalink]

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20 Jul 2016, 10:40
Top Contributor
stonecold wrote:
If A is the factor of B and B is the factor of A then which of the following must be true?

A) A=B
B) A=-B
C) A=1
D) A=B or A=-B
E) A=0 or B=0

Aside: This question is centered around the notion that the factors of an integer can be either positive of negative.
For example, the factors of 6 are: {1, 2, 3, 6, -1, -2, -3, and -6}
While this is true, the GMAT typically restricts the discussion of factors to positive factors only.
Note: I want to say "always" here. I've certainly never seen an official GMAT question that doesn't restrict the discussion to positive factors.

Cheers,
Brent
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Re: If A is the factor of B and B is the factor of A then which of the fol  [#permalink]

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20 Jul 2016, 11:14
stonecold wrote:
If A is the factor of B and B is the factor of A then which of the following must be true?
A) A=B
B) A=-B
C) A=1
D) A=B or A=-B
E) A=0 or B=0

This is not a GMAT-like question. For the GMAT, you can consider a factor to be a positive divisor.
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If A is the factor of B and B is the factor of A then which of the fol  [#permalink]

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20 Jul 2016, 22:22
GMATPrepNow wrote:
stonecold wrote:
If A is the factor of B and B is the factor of A then which of the following must be true?

A) A=B
B) A=-B
C) A=1
D) A=B or A=-B
E) A=0 or B=0

Aside: This question is centered around the notion that the factors of an integer can be either positive of negative.
For example, the factors of 6 are: {1, 2, 3, 6, -1, -2, -3, and -6}
While this is true, the GMAT typically restricts the discussion of factors to positive factors only.
Note: I want to say "always" here. I've certainly never seen an official GMAT question that doesn't restrict the discussion to positive factors.

Cheers,
Brent

Hi Brent,

If we have to consider only the positive factors then I guess it has to A = B. Can you please give the details on this.
If A is the factor of B and B is the factor of A then which of the fol   [#permalink] 20 Jul 2016, 22:22
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# If A is the factor of B and B is the factor of A then which of the fol

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