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

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