# What are Even and Odd Numbers

### Even numbers and odd numbers

Integer numbers divisible by two are called even numbers whereas integers which are not divisible by two are called odd numbers. Odd numbers leave 1 as the remainder when divided by 2. odd n even numbers
Even numbers always end with 0, 2, 4, 6 or 8. Odd numbers always end with 1, 3, 5, 7 or 9. So if a given number has 0, 2, 4, 6 or 8 in its unit’s place it is even otherwise its odd.

### Properties of Even and Odd numbers:

• Sum (or difference) of any number of even numbers is always even.
Even ± Even = Even
• Sum (or difference) of even number of odd numbers is always even.
Odd ± Odd = Even
• Sum of odd number of odd numbers is always odd.
Odd + Odd + Odd = Odd
• Sum of an even and an odd number is always odd.
Even + Odd = Odd
• Difference between an even and an odd number is always odd.
± Even ∓ Odd = Odd
• Product of any numbers of even numbers is always even.
Even x Even = Even
• Product of any number of odd numbers is always odd.
Odd x Odd = Odd
• Product of any number of numbers where there is an even number is always even.
Even x Any number = Even