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When multiplied together, an odd number and an even number will always produce an odd number. Two consecutive numbers consist of one odd number and one even number, so their product is always an odd number.

N-n-n-no! Any number multiplied by an even number yields an even product. Ever;y even number can be expressed as 2*M for some M. If we multiply 2*M by Y, the product is 2*M*Y = 2*(M*Y) which is even.

So the right answer is: They don't! The product of two consecutive numbers is always even.

Regards,

Bill Drissel

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15y ago

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Q: Why is the product of two consecutive numbers is always odd?
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