Arithmetic : Properties of Integers and Numbers

Even and Odd Integers

Even integers are those integers that are divisible by 2.
The integers {... −4, −2, 0, 2, 4, ...} form the set of even integers.
Odd integers are those integers that are not divisible by 2.
The integers {... −5, −3, −1, 1, 3, 5, ...} form the set of odd integers.
Note that the sum and difference of two even integers is even.
The sum and difference of two odd integers is also even.
The sum and difference of an odd integer and an even integer is odd.
The product of two even integers is even.
The product of two odd integers is odd.
The product of an odd integer and an even integer is even.