## Even and Odd Numbers

Table of Contents

## Even Numbers

Any integer that can be divided exactly by 2 is an even number.

The last digit is 0, 2, 4, 6 or 8

Example: −10, -4, 0, 8, and 32 are all even numbers

## Odd Numbers

Any integer that cannot be divided exactly by 2 is an odd number.

The last digit is 1, 3, 5, 7 or 9

Example: -13, −9, 1, 5, and 27 are all odd numbers

Odd numbers are in between the even numbers.

## Adding and Subtracting

When we add (or subtract) odd or even numbers the results are always:

Operation | Result | Example |

Even + Even | Even | 4 + 6 = 10 |

Even + Odd | Odd | 6 + 1 = 7 |

Odd + Even | Odd | 7 + 6 = 13 |

Odd + Odd | Even | 1 + 5 = 6 |

The same thing happens when we subtract instead of adding.

## Multiplying

When we multiply odd or even numbers the results are always:

Operation | Result | Example |

Even × Even | Even | 4 × 6 = 24 |

Even × Odd | Even | 2 × 7 = 14 |

Odd × Even | Even | 5 × 4 = 20 |

Odd × Odd | Odd | 7 × 5 = 35 |