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Is Zero considered a multiple of anything?

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PH
 Post subject: Is Zero considered a multiple of anything?
 Post Posted: Sat Mar 01, 2008 6:34 pm 
I was reviewing some problems that considered zero a multiple of say the number 5...meaning the multiples of 5 would start with zero, 5, 10, 15, etc...?

Is this the case...I never thought so....can anyone confirm this?...is this wrong?
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blue_lotus
 Post subject:
 Post Posted: Sun Mar 02, 2008 7:46 pm 
Multiples whould actually mean product of number with natural number ( 1,2,3...)

Multiple of 5 would start with 5 not zero
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StaceyKoprince
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 Post Posted: Tue Mar 04, 2008 2:26 am 
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ManhattanGMAT Staff


Posts: 6077
Location: San Francisco
In math, multiples result from multiplying any integer (including zero or negatives) by the starting number. So, yes, 0 is a multiple of 5, as is -5. Technically, 0 is a multiple of any number.

This test doesn't typically test this concept though - you'll see that these types of problems tend to limit you to positive integers. This doesn't mean they will never test this, but I haven't seen a problem in the past 10 years that does test this... so I wouldn't worry about it too much!

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