Question: Statement: For all integers a,b and p, if p|ab then p|a or p|b. (a) Is this statement true? Give a proof or counterexample. (b) Write

Statement: For all integers a,b and p, if p|ab then p|a or p|b.

(a) Is this statement true? Give a proof or counterexample.

(b) Write the negation of the statement.

(c) Is the negation statement true? Give a proof or counterexample.

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