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# Should we 0 count as a multiple of all integers in the gmat?

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Should we 0 count as a multiple of all integers in the gmat? [#permalink]

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09 Apr 2013, 23:14
yes or no?
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Re: Should we 0 count as a multiple of all integers in the gmat? [#permalink]

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10 Apr 2013, 00:30
manimgoindowndown wrote:
yes or no?

Yes, 0 is a multiple of every integer, except 0 itself.
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Re: Should we 0 count as a multiple of all integers in the gmat? [#permalink]

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10 Apr 2013, 00:37
Hello Bunuel.,

Can you tell me why you say "except 0 itself" ?
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Re: Should we 0 count as a multiple of all integers in the gmat? [#permalink]

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10 Apr 2013, 00:40
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MacFauz wrote:
Hello Bunuel.,

Can you tell me why you say "except 0 itself" ?

Sure.

An integer $$a$$ is a multiple of an integer $$b$$ (integer $$a$$ is a divisible by an integer $$b$$) means that $$\frac{a}{b}=integer$$: so, as 0 divided by any integer (except zero itself) yields an integer then zero is a multiple of every integer (except zero itself).

Since 0/0 is undefined, then 0 is NOT a multiple of 0.

Hope it's clear.
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Re: Should we 0 count as a multiple of all integers in the gmat? [#permalink]

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10 Apr 2013, 15:42
I ask bunuel because I can vaguely remember the answer key for some mgmat problems listing multiples of 6 starting with 6 itself ie 6 12 18 which would suggest otherwise...
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Re: Should we 0 count as a multiple of all integers in the gmat?   [#permalink] 10 Apr 2013, 15:42
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