# Even and Odd Numbers

## Even Numbers

Any integer that can be divided exactly by 2.

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

Example: −24, 0, 6 and 38 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: −3, 1, 7 and 35 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 (red is odd, blue is even) |
---|---|---|

Even + Even | Even | 2 + 4 = 6 |

Even + Odd | Odd | 6 + 3 = 9 |

Odd + Even | Odd | 5 + 12 = 17 |

Odd + Odd | Even | 3 + 5 = 8 |

(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 (red is odd, blue is even) |
---|---|---|

Even × Even | Even | 4 × 8 = 32 |

Even × Odd | Even | 4 × 7 = 28 |

Odd × Even | Even | 5 × 8 = 40 |

Odd × Odd | Odd | 5 × 7 = 35 |