Is 0 divisable by all integers? : GMAT Quantitative Section
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Is 0 divisable by all integers?

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Is 0 divisable by all integers? [#permalink]

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16 Oct 2010, 03:19
Please correct my understanding. I believe that 0 is divisable by all integers for the GMAT purpose. Am I correct?
Please correct me if I am wrong.
Thanks
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Re: Is 0 divisable by all integers? [#permalink]

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16 Oct 2010, 11:51
Yes, 0 is divisible by all positive integers, since if you divide 0 by a positive integer x, the result is an integer: you always get 0.

Technically 0 is not divisible by 0, since we can never divide by 0, but you don't need to worry about those types of technicalities on the GMAT.
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Re: Is 0 divisable by all integers? [#permalink]

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17 Oct 2010, 11:25
I could be wrong, but I believe 0 is divisible by all integers, whether the integer is negative, positive or 0.

I think the only number that can be divided by 0 is 0. If 0 x 0 = 0, then 0 / 0 = 0.

I could be wrong though.
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Re: Is 0 divisable by all integers? [#permalink]

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17 Oct 2010, 13:19
0/0 is an undefined number

You don't need to worry about this case though, it's not tested on the GMAT and you won't encounter it

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Re: Is 0 divisable by all integers? [#permalink]

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19 Oct 2010, 08:53
IanStewart wrote:
Yes, 0 is divisible by all positive integers, since if you divide 0 by a positive integer x, the result is an integer: you always get 0.

Technically 0 is not divisible by 0, since we can never divide by 0, but you don't need to worry about those types of technicalities on the GMAT.

Only "POSITIVE" integers ?
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Re: Is 0 divisable by all integers?   [#permalink] 19 Oct 2010, 08:53
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Is 0 divisable by all integers?

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