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Math Help - Prove that every ne N can be written as a product of an odd integer and a power of 2.

  1. #1
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    Prove that every ne N can be written as a product of an odd integer and a power of 2.

    Hey, Forum i was wondering if anyone would be kind enough to help me.
    In order to start this problem, would i first have to make an equation following the example given? How would i then use n for even and for odd in the equation?

    Prove that every ne N can be written as a product of an odd integer and a power of 2.
    Last edited by mr fantastic; July 14th 2010 at 02:20 AM. Reason: Restored deleted question.
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  2. #2
    MHF Contributor chiph588@'s Avatar
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    If  n=2k and we assume inductively that  k=2^a\cdot(2b+1) , then  n=\ldots
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