Even Numbers: Definition, Example, Properties and List of Even Numbers from 1 to 1000

Definition: If we divide any integer by 2, and remainder is zero, we get an even number.

Simply, If any integer divide exactly by 2, is an even number.

The last digit of even numbers is 0, 2, 4, 6, 8.

Example: 12, 10, 24, 36, 58, all are even numbers.

2	4	6	8	10	12
Even	Even	Even	Even	Even	Even

 Properties of Even Numbers

Addition: (1) The addition of two even numbers always gives an even number, i.e., the sum of two even numbers is always an even number.

Example: 8 (even) + 6 (even) = 14 (even)

(2) The sum of an even number and an odd number is an odd number.

Example: 8 (even) + 7 (odd) = 15 (odd)

(3) The sum of two odd numbers is an even number.

Example: 9 (odd) + 7 (odd) = 16 (even)

Subtraction: The difference between two even numbers always gives an even number, i.e., When an even number is subtracted from other even number, the result is always an even number.

Example: 12 (even) – 4 (even) = 8 (even)

The difference between two odd numbers is an even number.

Example: 17 (odd) – 9 (odd) = 8 (even)

Multiplication: (1) Multiplication of two even numbers always gives an even number.

Example: 10 (even) x 6 (even) = 60 (even)

(2) Multiplication of an even number and an odd number always gives an even number.

Example: 6 (even) x 5 (odd) = 30 (even)

Division: Even number is divisible by two, and leaves remainder zero.

Example: 38 (even) ÷ 2 (even) = 19 and remainder will be zero. 

 Even and odd number properties

1. Addition property of even and odd numbers.

Operation	Example	Result
Even + Even	6 + 4 = 10	Even
Even + Odd	8 + 5 = 13	Odd
Odd + Even	9 + 14 = 23	Odd
Odd + Odd	7 + 5 = 12	Even

2. Subtraction property of even and odd numbers.

Operation	Example	Result
Even – Even	24 – 18 = 6	Even
Odd – Odd	17 – 7 = 10	Even

3. Multiplying property of even and odd numbers.

Operation	Example	Result
Even x Even	4 x 8 = 32	Even
Even x Odd	8 x 7 = 56	Even
Odd x Even	3 x 10 = 30	Even
Odd x Odd	5 x 7 = 35	Odd