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multiples.....zero and one?

Problem Solving — algebra and arithmetic (GMAT Focus Edition)
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multiples.....zero and one?

by lgd63 » Tue Jun 02, 2009 2:18 pm
I can memorize but I find it much easier to understand....

Can someone please explain why zero is a multiple of all numbers and yet it is the only number that does not have an infinite set of multiples...

Also, why is one not a multiple of all numbers

Thank you!

Lenny
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by Neo2000 » Wed Jun 03, 2009 8:09 am
A "multiple" of a number(integer) is defined as the product of a quantity with that number.

For e.g. Lets take 9
Multiples of 9 =
9x1 = 9
9x2 = 18
9x45 = 405

All the numbers on the right hand side are called Multiples of 9
Finally 9x 0 = 0
So 0 will be a multiple of all numbers

As we always consider Integers for multiples, 1 will never be a multiple of any other number except itself.
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