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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.

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

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The answer is... View the full answer

4 comments
  • 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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