Does c always divide b in number theory divisibility?

[chimath35]

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

 

[Dick]

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

Of course it does.

 

[chimath35]

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.