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Are factors ints by definition?

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ts_krish
 Post subject: Are factors ints by definition?
 Post Posted: Sat Dec 04, 2010 4:03 pm 
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Course Students


Posts: 5
Hi,
I've a fundamental question. Which of the following definitions is correct?

1. A factor of a given integer is any number that divides the given integer evenly.

2. A factor of a given integer is another integer that divides the given integer evenly.

I've seen both the definitions on the web and not sure which one is correct, specifically as applied to questions on the GMAT.

This understanding seems critical in some of the DS questions on number properties, when you are given a statement such as

q is an integer with factors a and b.

If we want to infer whether a or b is an integer, we've to be clear on the definition of the term factor.

Could someone please clarify?
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atul.prasad
 Post subject: Re: Are factors ints by definition?
 Post Posted: Sat Dec 04, 2010 4:50 pm 
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Students


Posts: 34
Hi,

Factors always refer to integers and the term is always used in context of integers.

Imagine, if they were real numbers, every number would be a factor of every other number :)
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jnelson0612
 Post subject: Re: Are factors ints by definition?
 Post Posted: Mon Dec 06, 2010 7:40 am 
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ManhattanGMAT Staff


Posts: 1857
atul is correct (once again!). Factors are always integers.

Thank you,

_________________
Jamie Nelson
ManhattanGMAT Instructor
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