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Math Help - provind mods in series, sequences, integers and functions

  1. #1
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    provind mods in series, sequences, integers and functions

    Show that if a, b, c, and d are integers such that
    a | c and b | d, then ab | cd.
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  2. #2
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    Quote Originally Posted by racewithferrari View Post
    Show that if a, b, c, and d are integers such that
    a | c and b | d, then ab | cd.
    From a|c we get that for some m \in \mathbb{N}, c = am. Also, from b|d we get that for some n \in \mathbb{N}, d = nb.

    Now, what is ab? Can you see how the above facts help us show the desired result?
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