Odd and even numbers

Last updated: 17 Nov 2008

Even numbers are all the numbers which have no remainder when divided by 2, for example -312, 0 and 4.

Odd numbers are all numbers which have a remainder of 1 when divided by 2, for example -7, 1 and 245.

Combining odd and even numbers

  • If x and y are both even then x + y and xy are both even. For example

    mathematical expression
  • If x and y are both odd then x + y is even and xy is odd. For example

    mathematical expression
  • If x is even and y is odd then x + y is odd and xy is even. For example

    mathematical expression
  • Next page: Prime numbers

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