Hello everbody...

Let b and c be relatively prime integers, and suppose a is an integer that is

divisible by both b and c. Prove that bc|a.

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- March 16th 2008, 09:30 AMpizzaRusher1234relatively prime integers....
Hello everbody...

Let b and c be relatively prime integers, and suppose a is an integer that is

divisible by both b and c. Prove that bc|a. - March 16th 2008, 11:58 AMAryth
If a is divisible by both b and c, we have:

Therefore:

Thus:

- March 16th 2008, 12:37 PMpizzaRusher1234
- March 16th 2008, 01:00 PMJaneBennet
*b*and c divide*a*for some integers*h*and*k*.

*b*and*c*are relatively prime means there are integers such that .

Now multiply through by*a*.

.