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December 20, 2014

December 20, 2014

Posted by **m** on Friday, October 15, 2010 at 12:18pm.

What I have so far is the prime factorization is 48=2^4 x 3 and know that there are 10 factors but cannot figure out how to do the exponents thing listed above.

- math -
**Reiny**, Friday, October 15, 2010 at 3:45pmI wish they had explained this type of problem in a better way for you.

48 = 2x2x2x2x3

I can use the 2's in 5 ways, that is,

not take any

take 1

take 2

take 3

or take all 4

in the same way I can use the 3's in 2 ways,

take it or not take it

so that is 5x2 or 10 ways.

Be aware that this would include taking all the 2's and all the 3's, which results in 48 itself,

and the case of not taking any at all, which we could associate with the number 1, true in all cases.

Some purists would exclude 1 as a factor, so that way there would be only 9 factors.

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