Question: Discrete Math Question 3 Write a proof for the following theorem. Theorem. The product of any two even numbers is divisible by 4. Proof. Question

Discrete Math

Discrete Math Question 3 Write a proof for the following theorem. Theorem.

Question 3 Write a proof for the following theorem. Theorem. The product of any two even numbers is divisible by 4. Proof. Question 4 Find a counterexample to show that the following statement is false: If a divides c and b divides c, then ab divides c. Question 5 Write a proof for the following theorem. (Hint: Think smarter, not harder. The best proof can fit in the small space below.) Theorem. If a divides c and b divides c, then ab divides c. Proof. 2

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