Does c always divide b in number theory divisibility?

chimath35 · Mar 23, 2014

If a|b then ac=b; now does c always divide b as well?

Dick · Mar 23, 2014

chimath35 said:

If a|b then ac=b; now does c always divide b as well?

Of course it does.

chimath35 · Mar 23, 2014

Thank you Dick; I did pass the exam I took by the way lol. I did not really get to study much as I was ill, but still did good enough compared to other class mates. I think I am growing A LOT mathematically. I am just now learning how to do direct proofs in discrete math so hopefully I will do better next exam, even though I am just auditing this course. I am learning how to become more of a mathematician I guess.

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Does c always divide b in number theory divisibility?

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