Is 0 a multiple of 3?

bff7942 · Posted: Wed Mar 05, 2008 10:01 pm Post subject: Is 0 a multiple of 3?

Another odd question...
Thanks a bunch! Smile

ikant · Posted: Wed Mar 05, 2008 10:18 pm Post subject:

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.

Cheers,
iKant

Stuart Kovinsky · Posted: Wed Mar 05, 2008 11:13 pm Post subject:

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.

rainbowpo · Posted: Thu Apr 24, 2008 6:43 pm Post subject:

I think 0 is a multiple of any number. consider 0xn=0

luvaduva · Posted: Thu Apr 24, 2008 7:17 pm Post subject:

That is correct sorry, misread.