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    Proof regarding divisibility

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    Suppose A divides N and B divides N. Does this always imply: A * B divides n?

    Now the question is under what condition A*B will always divide N? Prove it.

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    https://brainmass.com/math/discrete-math/proof-regarding-divisibility-24069

    Solution Preview

    See attachment please!

    suppose A divides N and B divides N. Does this always imply: A * B divides n?

    My answer is no because if A = 6, B = 9 and N=36 then

    A divides N since 6 divides 36
    B divides N since 9 divides 36
    but A * B does not divide N since 6 * 9 = ...

    Solution Summary

    Suppose A divides N and B divides N. Does this always imply: A * B divides n is determined.

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