### 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 |

### 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

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