## Grades K-8 Worksheets

Looking for high-quality Math worksheets aligned to Common Core standards for Grades K-8?

Our premium worksheet bundles contain 10 activities and answer key to challenge your students and help them understand each and every topic within their grade level.

Divisibility rules help us work out whether a number is exactly divisible by other numbers (i.e. there is no remainder).

The rules are shortcuts for finding out whether numbers are exactly divisible without doing division calculations. Some of these rules along with examples are illustrated below:

- Divisible by 2? (Click For Rule ...)
- Divisible by 3? (Click For Rule ...)
- Divisible by 4? (Click For Rule ...)
- Divisible by 5? (Click For Rule ...)
- Divisible by 6? (Click For Rule ...)
- Divisible by 9? (Click For Rule ...)
- Divisible by 10? (Click For Rule ...)

**Divisible by 2?**

Rule: If it ends with a 0, 2, 4, 6, or 8

Number | Divisible? | Why? |

456 | Yes | The last digit is 6 |

68 | Yes | The last digit is 8 |

25 | No | The last digit is 5 (not a 2,4,6,or 8) |

207 | No | The last digit is 7 (not a 2,4,6,or 8) |

Back To All Divisibility Rules

**Divisible by 3?**

Rule: If the sum of the digits is a multiple of 3

Number | Divisible? | Why? |

405 | Yes | 4 + 0 + 5 = 9 (9 is a multiple of 3) |

381 | Yes | 3 + 8 + 1 = 12 (12 is a multiple of 3) |

928 | No | 9 + 2 + 8 = 19 (19 is not a multiple of 3) |

4,616 | No | 4 + 6 + 1 + 6 = 17 (17 is not a multiple of 3) |

Helper: The multiples of 3 include... |

3 6 9 12 15 18 21 24 27 30 33 36 39 42 45 |

Back To All Divisibility Rules

**Divisible by 4?**

Rule: If the last two digits are a multiple of 4

(or if the last two digits are 00)

Number | Divisible? | Why? |

348 | Yes | 48 is a multiple of 4 |

27,616 | Yes | 16 is a multiple of 4 |

8,514 | No | 14 is not a multiple of 4 |

722 | No | 22 is not a multiple of 4 |

1,200 | Yes | The last two digits are 00 200 is a multiple of 4 |

Helper: The multiples of 4 include... |

4 8 12 16 20 24 28 32 36 40 44 48 52 56 60 |

Back To All Divisibility Rules

**Divisible by 5?**

Rule: If it ends with a 5 or a 0

Number | Divisible? | Why? |

3,425 | Yes | The last digit is 5 |

750 | Yes | The last digit is 0 |

8,551 | No | The last digit is 1 (not a 0 or a 5) |

394 | No | The last digit is 4 (not a 0 or a 5) |

Back To All Divisibility Rules

**Divisible by 6?**

Rule: If it is divisible by 2 and by 3

Number | Divisible? | Why? |

5,106 | Yes | The last digit is a 2 (it is a multiple of 2 ) and...5 + 1 + 0 + 6 = 12 (12 is a multiple of 3) |

636 | Yes | The last digit is a 6 (it is a multiple of 2 ) and...6 + 3 + 6 = 15 (15 is a multiple of 3) |

5,912 | No | The last digit is a 2 (it is a multiple of 2 ) but...5 + 9 + 1 + 2 = 17 (17 is not a multiple of 3) |

508 | No | The last digit is a 8 (it is a multiple of 2 ) but...5 + 0 + 8 = 13 (13 is not a multiple of 3) |

Back To All Divisibility Rules

**Divisible by 9?**

Rule: If the sum of the digits are a multiple of 9

Number | Divisible? | Why? |

7,686 | Yes | 7 + 6 + 8 + 6 = 27 (27 is a multiple of 9) |

252 | Yes | 2 + 5 + 2 = 9 (9 is a multiple of 9) |

883 | No | 8 + 8 + 3 = 19 (19 is not a multiple of 9) |

5,105 | No | 5 + 1 + 0 + 5 = 11 (11 is not a multiple of 9) |

Helper: The multiples of 9 include... |

9 18 27 36 45 54 63 72 81 90 99 108 117 126 135 |

Back To All Divisibility Rules

**Divisible by 10?**

Rule: If the last digit is 0

Number | Divisible? | Why? |

880 | Yes | The last digit is 0 |

9,560 | Yes | The last digit is 0 |

312 | No | The last digit is 2 (not a 0) |

7,897 | No | The last digit is 7 (not a 0) |