For all integers a, b, and c, if a|bc and ______________________, then a|c or b|c.

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For all integers a, b, and c, if a|bc and ______________________, then a|c or b|c.

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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b and c are relatively prime?
maybe satellite i can't think
that can't be right hold on let me engage my brain

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It is a problem for a modern algebra class. I am having trouble finding a list of theorems having to do with divides.
oh wait, it is true if a is prime that is for sure
if a is prime, and it divides a product, then it has to divide one of the factors
Thanks a lot. I think I think your right. It should read For all integers a, b, and c, if a|bc and a is prime, then a|c or a|b. I think my teacher made a typo when she wrote it out.

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