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Is 0 a multiple of 3?

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by ikant » Wed Mar 05, 2008 10:18 pm
Hello,

No. 0 is not a multiple of 3. The reason is the basic tenet that factors and multiples are a concept pertaining to natural numbers only.

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by Stuart@KaplanGMAT » Wed Mar 05, 2008 11:13 pm
0 is a multiple of every number and a factor of no number.

Many questions specifically reference "positive multiples", but if they don't then negative numbers can also be multiples.

For example, the set of all multiples of 5 is:

{... -15, -10, -5, 0, 5, 10, 15, ...}

By convention, if a question asks for the lowest common multiple of two numbers, the answer will be the lowest common positive multiple.
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by rainbowpo » Thu Apr 24, 2008 6:43 pm
I think 0 is a multiple of any number. consider 0xn=0
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by luvaduva » Thu Apr 24, 2008 7:17 pm
That is correct sorry, misread.
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by goyalsau » Sat Nov 27, 2010 8:27 pm
Stuart Kovinsky wrote:0 is a multiple of every number and a factor of no number.

Many questions specifically reference "positive multiples", but if they don't then negative numbers can also be multiples.

For example, the set of all multiples of 5 is:

{... -15, -10, -5, 0, 5, 10, 15, ...}

By convention, if a question asks for the lowest common multiple of two numbers, the answer will be the lowest common positive multiple.
I think we can re say it like this
that
Zero is multiple of every number, But No Number is a multiple of Zero Other than Zero.
Saurabh Goyal
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