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Confused between different uses of "Divisor"

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Confused between different uses of "Divisor" [#permalink] New post 17 Sep 2013, 01:23
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I know that the words "divisor" & "factor" mean the same thing, at least from the GMAT point of view". For example: 2 is a factor (or divisor) of 12 because there exists an integer (6) which we we multiply 2 by gives us 12.

What confuses me is that this word "divisor" is also used in the GMAT quotient/remainder topic when we divide a number by another number e.g. 7/2 gives us a quotient of 3 and a remainder of 1. The number 7 is called the "dividend" and the number 2 is called the "divisor" (even though 2 does not really divide 7 evenly because there's a remainder 1) so how come it's still called a divisor?! Can someone shed some light on the confusion of using the same word "divisor" differently in both situations?
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Re: Confused between different uses of "Divisor" [#permalink] New post 17 Sep 2013, 03:01
magmag wrote:
I know that the words "divisor" & "factor" mean the same thing, at least from the GMAT point of view". For example: 2 is a factor (or divisor) of 12 because there exists an integer (6) which we we multiply 2 by gives us 12.

What confuses me is that this word "divisor" is also used in the GMAT quotient/remainder topic when we divide a number by another number e.g. 7/2 gives us a quotient of 3 and a remainder of 1. The number 7 is called the "dividend" and the number 2 is called the "divisor" (even though 2 does not really divide 7 evenly because there's a remainder 1) so how come it's still called a divisor?! Can someone shed some light on the confusion of using the same word "divisor" differently in both situations?


When divisor divides any dividend and leaves '0' remainder, then such such divisor is called a FACTOR of that dividend.

Hope this will help.
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Re: Confused between different uses of "Divisor" [#permalink] New post 17 Sep 2013, 03:13
fameatop wrote:
magmag wrote:
I know that the words "divisor" & "factor" mean the same thing, at least from the GMAT point of view". For example: 2 is a factor (or divisor) of 12 because there exists an integer (6) which we we multiply 2 by gives us 12.

What confuses me is that this word "divisor" is also used in the GMAT quotient/remainder topic when we divide a number by another number e.g. 7/2 gives us a quotient of 3 and a remainder of 1. The number 7 is called the "dividend" and the number 2 is called the "divisor" (even though 2 does not really divide 7 evenly because there's a remainder 1) so how come it's still called a divisor?! Can someone shed some light on the confusion of using the same word "divisor" differently in both situations?


When divisor divides any dividend and leaves '0' remainder, then such such divisor is called a FACTOR of that dividend.

Hope this will help.


Thanks for clarification. From what you said I can deduce that any factor can also be called a divisor but the opposite is not always true. i.e. not all divisors are factors. I hope I'm correct! :)
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Re: Confused between different uses of "Divisor" [#permalink] New post 17 Sep 2013, 04:17
magmag wrote:
fameatop wrote:
magmag wrote:
I know that the words "divisor" & "factor" mean the same thing, at least from the GMAT point of view". For example: 2 is a factor (or divisor) of 12 because there exists an integer (6) which we we multiply 2 by gives us 12.

What confuses me is that this word "divisor" is also used in the GMAT quotient/remainder topic when we divide a number by another number e.g. 7/2 gives us a quotient of 3 and a remainder of 1. The number 7 is called the "dividend" and the number 2 is called the "divisor" (even though 2 does not really divide 7 evenly because there's a remainder 1) so how come it's still called a divisor?! Can someone shed some light on the confusion of using the same word "divisor" differently in both situations?


When divisor divides any dividend and leaves '0' remainder, then such such divisor is called a FACTOR of that dividend.

Hope this will help.


Thanks for clarification. From what you said I can deduce that any factor can also be called a divisor but the opposite is not always true. i.e. not all divisors are factors. I hope I'm correct! :)


Yes you are correct in that "not all divisors are factors" and "All factor are divisors"
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Re: Confused between different uses of "Divisor"   [#permalink] 17 Sep 2013, 04:17
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