Conjecture: The product of any two even integers is even.
Practice makes perfect
We are asked to make a conjecture about the product of any two even integers. Let's attempt to find a pattern by calculating some products of even integers.
(-4)(-2)&=8
(4)(-6)&=-24
(-8)(12)&=-96Examining the products, we see that all of them are even. With this information, we can write our conjecture.
Conjecture:
The product of any two even integers
equals an even integer.
Let's test this a few more times with some other factors.
(-2)(4)&=8
(8)(8)&=64
(10)(12)&=120
It would appear that our conjecture is true.
