Question

Determine if the following statement is true or false The product of two even numbers is even. IF the statement is false, give a counterexample.

Answer 1

We can write two even numbers as 2n and 2m, being n and m any integer.

Then, we can write the product of two even numbers as:

`2n\cdot2m=4\cdot n\cdot m`

n*m could be any number, but, as it is multiplied by 4, the result is always a even number.

So the statement "product of two even numbers is even" is True.