Yes. Suppose you are multiplying two even numbers, A and B. Then make B odd by adding 1.
You can represent any even number as 2*x. So let's rewrite A*B as (2*x) * (2*y +1)
Which is 2*x*2*y + 2*x
which is 2*(x*2*y+x)
Which is of the form 2*(something) which has to be even.
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Yes. Odd times odd is odd. Odd times even is even. Even times even is even.
No. In fact, you NEVER get an odd number.
even times even = even odd times odd = odd even times odd = even
The sum of two odd numbers is always even; the sum of three odd numbers is always odd; the sum of four odd numbers is always even; the sum of five odd numbers is always odd; etc
Yes. Even + Even = Even, Odd + Odd = Even and Even + Odd or Odd + Even = Odd