Prove or disaprove that if a|bc, where a, b, and c are positive integers and a≠0a, then a|b or a|c.

Question
Discrete math
asked 2021-02-01
Prove or disaprove that if a|bc, where a, b, and c are positive integers and \(\displaystyle{a}≠{0}{a}\), then a|b or a|c.

Answers (1)

2021-02-02
False! Take b=c=2 and a=4. Then clearly a does not divide b nor c, but a divides bc.
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