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Math Help - a|m and b|m does that mean a*b|m?

  1. #1
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    a|m and b|m does that mean a*b|m?

    If a|m and b|m, does that mean a*b|m?

    ak=m
    bj=m
    akbj=m^2
    ab(kj)=m^2\rightarrow ab \left(\frac{kj}{m}\right)=m

    Is this how it would be shown?
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by dwsmith View Post
    If a|m and b|m, does that mean a*b|m?

    ak=m
    bj=m
    akbj=m^2
    ab(kj)=m^2\rightarrow ab left(\frac{kj}{m}\right)=m

    Is this how it would be shown?
    Shown? It's not true. Take a = 2, and b = m = 4
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  3. #3
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    @dwsmith:
    The fault with your argument is that you don't know whether kj/m would come out to be an integer or not.
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