Divisible By | Rules of Divisibility |
---|---|

Divisibility Rule of 2 |
The last digit or the unit digit is even (0,2,4,6,8). |

Divisibility Rule of 3 | The sum of the digits is divisible by 3. |

Divisibility Rule of 4 | The last two digits are divisible by 4. |

Divisibility Rule of 5 | The unit digit or last digit is 0 or 5. |

Divisibility Rule of 6 | Number divisible by both 2 and 3 |

Divisibility Rule of 7 | The last digit is multiplied by 2 and subtracted from the rest of the number. The result is either 0 or divisible by 7. |

Divisibility Rule of 8 | The last three digits are divisible by 8. |

Divisibility Rule of 9 | The sum of the digits is divisible by 9. |

Divisibility | The unit digit is zero |

Divisibility Rule of 11 | The sum of the even digits is subtracted from the sum of the odd digits. The result is either 0 or divisible by 11. |

Divisibility Rule of 12 | Number divisible by both 3 and 4. |

The divisibility rule for number 2 assists in determining whether a number is divisible by 2.

**Divisibility Rule of 2**:

The last digit or the unit digit is even (0,2,4,6,8).

**Example** : 96512

**Explanation** : 96512

The unit digit is 2. 2 is an even number.

The divisibility rule for number 3 assists in determining whether a number is divisible by 3.

**Divisibility Rule of 3**:

The sum of the digits is divisible by 3.

**Example** : 123

**Explanation** : 123

Sum of the digit is, 1 + 2 + 3 = 6

Divisible by 3, = 6/3 = 2

The number can be divided by 3.

The divisibility rule for number 4 assists in determining whether a number is exactly divisible by 4.

**Divisibility Rule of 4**:

The sum of the digits is divisible by 4.

**Example** : 56184

**Explanation** : 56184

Last two digits are 84,

Divisible by 4, = 84/4 = 21

The numbers can be divided by 4.

The divisibility rule for number assists in determining whether a number is exactly divisible by 5.

**Divisibility Rule of 5**:

The unit digit or last digit is 0 or 5.

**Example** : 2685

**Explanation** : 2685

The unit digit is 5. It is satisfied by the divisibility rule of 5.

The numbers can be divided by 5.

The divisibility rule for number 6 assists in determining whether a number is exactly divisible by 6.

**Divisibility Rule of 6**:

Number divisible by both 2 and 3.

**Example** : 1986

**Explanation** : 1986

a) divisible by 2,

Unit digit is 6 and its an even number

b) divisible by 3,

Sum of the digits = 1 + 9 + 8 + 6 = 24/3 = 8

The number can be divided by 6.

The divisibility rule for number 7 assists in determining whether a number is exactly divisible by 7.

**Divisibility Rule of 7**:

The last digit is multiplied by 2 and subtracted from the rest of the number. The result is either 0 or divisible by 7.

**Example** : 2205

**Explanation** : 2205

Last digit multiply by 2, 5 * 2 = 10

Subtracted rest of digits, 220 - 10 = 210

Divisible by 7, 210 / 7 = 30

The number can be divided by 7.

The divisibility rule for number 8 assists in determining whether a number is exactly divisible by 8.

**Divisibility Rule of 8**:

The last three digits are divisible by 8.

**Example** : 100344

**Explanation** : 100344

The last three digits are, 344

Divisible by 8, 344 / 8 = 43

The numbers can be divided by 8.

The divisibility rule for number 9 assists in determining whether a number is exactly divisible by 9.

**Divisibility Rule of 9**:

The sum of the digits is divisible by 9.

**Example** : 488349

**Explanation** : 488349

Sum of the digits is, 4 + 8 + 8 + 3 + 4 + 9 = 36

divisible by 9, 36/9 = 4

The numbers can be divided by 9.

The divisibility rule for number 10 assists in determining whether a number is exactly divisible by 10.

**Divisibility Rule of 10**:

The unit digit is zero.

**Example** : 985640

**Explanation** : 985640

The unit digit is 0. It satisfies the divisible rule of 10.

The divisibility rule for number 11 assists in determining whether a number is exactly divisible by 11.

**Divisibility Rule of 11**:

The sum of the even digits is subtracted from the sum of the odd digits. The result is either 0 or divisible by 11.

**Example** : 292215

**Explanation** : 292215

By rule, (9+2+5) - (2+2+1) = 11

The numbers can be divided by 11.

The divisibility rule for number 12 assists in determining whether a number is exactly divisible by 12.

**Divisibility Rule of 12**:

Number divisible by both 3 and 4.

**Example** : 9012

**Explanation** : 9012

a) rule of divisible by 3,

sum of the digits, 9 + 0 + 1 + 2 = 12/3 = 4

b) rule of divisible by 4,

last two digits = 12/4 = 3

The numbers can be divided by 12.