Question

Find a counter example to the statement, the product of any integer and itself is odd

Answer 1

4 could be a possible answer as 4 squared is 16 which is even

another possible answer is 2 as 2 squared is 4 which is even

answer possibilities are infinite

Answer 2

Answer with Step-by-step explanation:

As we have given that

the product of any integer and itself is odd.

Let us take an integer = 2

When we product 2 with itself , means the square of 2 which is equal to 4

Mathematically, it is expressed as

`2* 2=4`

And 4 is not an odd number as it is multiple of 2.

Hence, this contradicts the statement.