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# How many factors does 36^2 have? 2 8 24 25 26 Is there an

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Senior Manager
Joined: 05 Mar 2006
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How many factors does 36^2 have? 2 8 24 25 26 Is there an [#permalink]

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16 Aug 2006, 11:57
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

How many factors does 36^2 have?

2
8
24
25
26

Is there an easier way to do this? Listing it out is way too lengthy?

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Manager
Joined: 05 Jul 2006
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16 Aug 2006, 13:50
I don't know if my answer is correct but this is how I arrived at the asnwer.

36^2= 6^2*6^2
= 36*36
=6*6 * 6*6
=3*2*3*2 * 3*2*3*2

The total is 8.

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Director
Joined: 06 May 2006
Posts: 790

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16 Aug 2006, 14:16
Dude, theres a formula to do that for us!

If you factor a number into its prime factors, then the total number of factors can be calculated by adding one to all the exponents and multiplying these results.

In this case, 36^2 = 2^4 x 3^4. Now you add 1 to each of the exponents and multiply them and you get (5 x 5) = 25...
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Uh uh. I know what you're thinking. "Is the answer A, B, C, D or E?" Well to tell you the truth in all this excitement I kinda lost track myself. But you've gotta ask yourself one question: "Do I feel lucky?" Well, do ya, punk?

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CEO
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Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008

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16 Aug 2006, 15:16
Dude, theres a formula to do that for us!

If you factor a number into its prime factors, then the total number of factors can be calculated by adding one to all the exponents and multiplying these results.

In this case, 36^2 = 2^4 x 3^4. Now you add 1 to each of the exponents and multiply them and you get (5 x 5) = 25...

You are so right...
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

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Senior Manager
Joined: 05 Mar 2006
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16 Aug 2006, 15:37
Paddy, that is brilliant. Thanks for the insight.

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16 Aug 2006, 15:37
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# How many factors does 36^2 have? 2 8 24 25 26 Is there an

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