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

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How many factors does 36^2 have? 2 8 24 25 26 Is there an [#permalink] New post 16 Aug 2006, 11:57
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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 [#permalink] New post 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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 [#permalink] New post 16 Aug 2006, 14:16
Dude, theres a formula to do that for us! :lol:

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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 [#permalink] New post 16 Aug 2006, 15:16
paddyboy wrote:
Dude, theres a formula to do that for us! :lol:

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...
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 [#permalink] New post 16 Aug 2006, 15:37
Paddy, that is brilliant. Thanks for the insight.
  [#permalink] 16 Aug 2006, 15:37
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