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## Homework Statement

Prove or salvage:

If a|bc, then a|b.

## Homework Equations

Relevant concepts:

Relatively prime numbers

Divisibility

## The Attempt at a Solution

I know that the statement is wrong as it is. I also know that in order to salvage the statement, I must say that a and c are relatively prime. The problem is that I do not know how to rigorously prove this.

Could somebody guide me in how to do this. Teach a man to fish!