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Here's the following proof that "product of two odd numbers is odd".

Proof: Any odd number can be written in the form 2p+1. Let your first odd number be written in this form. Let your second odd number be written as 2q+1 - essentially the same form as above, but since p may not equal q, separate variables are used.

Thus: First odd number x second odd number = (2p+1)(2q+1)

= 2pq + 2p +2q +1.

The plus one on the end indicates that the product is odd, as required.

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13y ago

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