1. The problem statement, all variables and given/known data a, b, P, and any other numbers introduced are members of the integer set. If P is known to be a prime number, and ab can be divided by P, then prove that either a or b can be divided by P. 2. Relevant equations All properties of real numbers. Need not be explicitly mentioned in the proof. 3. The attempt at a solution ab=p*c such that the complete factorization of ab results in p multiplied by the complete factorization of c. I don't know what to do from here.