You might have learned that the product of two odd numbers is always odd, but do you how to prove it? We can prove it by using a similar strategy we used in Why is the sum of two even numbers also an even number we can represent any odd number with 2m+1, where m is any integer. now lets say we have 2m+1 and 2n+1, two odd number. we multiply them together: (2m+1)*(2n+1) = 4mn+2n+2m +1 (4mn+2n+2m)+1 2(2mn+n+m)+1 2(2mn+n+m) … Continue reading “Prove the product of two odd numbers is always odd”