What is a conjecture for multiplying two odd numbers?

One possible conjecture: The product is always an odd number.

Another possible conjecture: The product is always greater than either of them.

Another possible conjecture: Both odd numbers are always factors of the product.

Another possible conjecture: The product is never a multiple of ' 2 '.

Another possible conjecture: The product is always a real, rational number.

Another possible conjecture: The product is always an integer.