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# How many different positive integers are factors of 441?

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Senior Manager
Joined: 25 Nov 2006
Posts: 333
Schools: St Gallen, Cambridge, HEC Montreal
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Kudos [?]: 66 [0], given: 0

How many different positive integers are factors of 441?  [#permalink]

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02 Mar 2008, 14:01
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How many different positive integers are factors of 441?

A- 4
B- 6
C- 7
D- 9
E- 11
Director
Joined: 05 Jan 2008
Posts: 690
Followers: 5

Kudos [?]: 472 [0], given: 0

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02 Mar 2008, 23:36
A-4

441 -> 21^2

21->1*3*7

441-> 1*3*7*21
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Senior Manager
Joined: 25 Nov 2006
Posts: 333
Schools: St Gallen, Cambridge, HEC Montreal
Followers: 3

Kudos [?]: 66 [0], given: 0

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04 Mar 2008, 06:00
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?
VP
Joined: 22 Oct 2006
Posts: 1438
Schools: Chicago Booth '11
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Kudos [?]: 192 [1] , given: 12

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04 Mar 2008, 09:07
1
KUDOS
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
Director
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Kudos [?]: 472 [0], given: 0

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08 Mar 2008, 06:39
Terp26, nice idea to calculate the factors.

+1
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Persistence+Patience+Persistence+Patience=G...O...A...L

Re: OG PS 209   [#permalink] 08 Mar 2008, 06:39
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