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

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

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