Answer to Question #98555 in Algebra for Mohammed Moro

Question #98555

Prove or disprove that if 4 divides the product mn of positive integers m and n, then 3 divides m or 3 divides n.

Expert's answer

Disprove: m=4, n=4, mn = 16.

4 divides 16, but 3 doesn't divide 4.

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