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andrew34765
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Homework Statement
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.
Homework Equations
All properties of real numbers. Need not be explicitly mentioned in the proof.
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.