If a, b, c ∈ Z+ and a|bc, does it follow that a|b or a|c? I don't believe it follows either because from what I have learned : ([a|b ^ b|c)]→a|c
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Originally Posted by mizzlizzym If a, b, c ∈ Z+ and a|bc, does it follow that a|b or a|c? I don't believe it follows either because from what I have learned : Well $\displaystyle 6|(3\cdot 4)$ but ?
If a prime p|ab then either p|a or p|b If a|bc and a and b are relatively prime, the a|c.
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