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How many different positive integers are factors of 441?

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Joined: 25 Nov 2006
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Schools: St Gallen, Cambridge, HEC Montreal
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How many different positive integers are factors of 441?  [#permalink] New post 02 Mar 2008, 13:01
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A
B
C
D
E

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0% (00:00) correct 0% (00:00) wrong based on 1 sessions
How many different positive integers are factors of 441?


A- 4
B- 6
C- 7
D- 9
E- 11
Director
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Re: OG PS 209 [#permalink] New post 02 Mar 2008, 22:36
A-4

441 -> 21^2

21->1*3*7

441-> 1*3*7*21
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Senior Manager
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Schools: St Gallen, Cambridge, HEC Montreal
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Re: OG PS 209 [#permalink] New post 04 Mar 2008, 05:00
prasannar wrote:
A-4

441 -> 21^2

21->1*3*7

441-> 1*3*7*21


Good try, but not right answer.
There is also 9 or 63....

Is anyone able to explain?
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Re: OG PS 209 [#permalink] New post 04 Mar 2008, 08:07
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Prime Factor the number

441 = 7^2 * 3^2


# of factors is equal to the product of each prime factors exponent + 1

(2+1) * (2+1) = 9

D) 9
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Re: OG PS 209 [#permalink] New post 08 Mar 2008, 05:39
Terp26, nice idea to calculate the factors.

+1
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Re: OG PS 209   [#permalink] 08 Mar 2008, 05:39
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How many different positive integers are factors of 441?

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