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# This is a problem from Discrete Mathematics. I am struggling with it. Prove or disprove that if the product of two numbers (in ) is even, then at...

This is a problem from Discrete Mathematics. I am struggling with it.

Prove or disprove that if the product of two numbers (in ℕ) is even, then at least one of them must be even.

If the product of two natural numbers is even,... View the full answer

• sorry by mistake proved it for sum.....
• gupta.vrinda
• May 17, 2018 at 12:00am
• for product the statement is true
• gupta.vrinda
• May 17, 2018 at 12:00am
• Let a and b be two natural numbers such that their product is even then we must have ab =2c for natural number c
• gupta.vrinda
• May 17, 2018 at 12:01am
• => a = 2c/b or b=2c/a in either case either a is even or b even so given statement is true
• gupta.vrinda
• May 17, 2018 at 12:02am

The way to answer this question is ... View the full answer

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