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Math Help - Prime factorization question

  1. #1
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    Prime factorization question

    We have E=(\mathbb{E}, +,*,0) where \mathbb{E} is the set of even natural numbers. I know all numbers in this set can be factored into a product of \mathbb{E}-primes and that it is not always unique.

    I'm trying to find the least even number with three factorizations and the least even number that has four factorizations.
    Last edited by ordinalhigh; September 16th 2009 at 02:03 PM.
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  2. #2
    MHF Contributor Bruno J.'s Avatar
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    360=2(2\times 3^2)(2 \times 5) = (2 \times 3)^2(2 \times 5) = 2(2\times 3 \times 5)(2 \times 3)

    Pretty sure that's the one for three factorisations!
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