SOLUTION: If a, b, c ∈ Z+ and a|bc, does it follow that a|b or a|c?
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Question 645113: If a, b, c ∈ Z+ and a|bc, does it follow that a|b or a|c?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If a, b, c ∈ Z+ and a|bc, does it follow that a|b or a|c?
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Yes, because a|bc implies that bc is a multiple of "a".
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a cannot be a factor of ab unless it is a factor of a or b.
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Cheers,
Stan H.
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