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

Question

anonymous · Answer

b and c are relatively prime?

myininaya · Answer

maybe satellite 
i can't think

anonymous · Answer

that can't be right hold on let me engage my brain

anonymous · Answer

It is a problem for a modern algebra class. I am having trouble finding a list of theorems having to do with divides.

anonymous · Answer

oh wait, it is true if a is prime that is for sure

anonymous · Answer

if a is prime, and it divides a product, then it has to divide one of the factors

anonymous · Answer

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.