Posted by **thomas** on Monday, June 22, 2009 at 9:07pm.

You can use the prime factorization of a number, written

as the product of powers of prime numbers, to find

the number of factors the number has. First, express the

number as a product of powers of prime numbers; for

example, 36=2 to power 2 3 to power 3

Then increase each exponent by 1,

and find the product of these increased exponents. This

product is the number of factors of the number. In the

example for 36,(2+1)(2+1) so 36 has 9 factors.

how do i write 48 as a product of powers of prime numbers

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