Can Two Odd Numbers Have an Even Product

When two odd numbers are multiplied together, the result is always an odd number. Thus (n + 1)(m + 1) must be an odd number. Because n and m are even, when we multiply two even numbers together, we always get an even number. Thus nm is even.

What two odd numbers multiplied equal an even number?

Explanation: The same odd number added together will always produce and even number. Because 2 times a number is always even. Because b is odd, therefore (b−1) is even.

Is the product of any two odd numbers an odd number is it true for any two even numbers?

Answer: For the product to be even, it has to have a factor of 2. … Since you say the original numbers are odd, there is no factor of two in either of them, so the product cannot be even, and so must be odd.

Marcus Vance

Marcus Vance

Cybersecurity & Digital Privacy Researcher

Marcus Vance is a cybersecurity auditor and technology writer dedicated to educating the public about online safety, data privacy regulations, enterprise security, and emerging cyber threats.

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