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Published byJulia MacGregor Modified over 3 years ago

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**How do we know when we can divide one number into another exactly?**

Divisibility Rules How do we know when we can divide one number into another exactly? Source: Jenny Russell

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**Divisibility Rules (2) A number can be divided by 2 if**

the last digit is even

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**Divisibility Rules (3) a number is divisible by 3 if**

the sum of the digits is 3, 6 or 9

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**Divisibility Rules (4) a number is divisible by 4 if**

the number made by the last two digits can be divided by 4

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**Divisibility Rules (5) A number is divisible by 5 if**

the last digit is a 5 or a 0

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**Divisibility Rules (6) A number can be divided by 6 if**

the last digit is even and the sum of all the digits is 3, 6 or 9

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**Divisibility Rules (8) A number is divisible by 8 if**

the number made by the last three digits will be divisible by 8

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**Divisibility Rules (9) A number is divisible by 9 if**

the sum of all the digits will add to 9

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**Divisibility Rules (10) A number can be divided by 10 if**

the last digit is a 0

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**Divisibility Rules A number can be divided by 7 if**

……………… can you find a rule?

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**Divisibility Rules 2, the last digit will be an even number**

3, all the digits will add to 3,6 or 9 4, the number made by the last two digits can be divided by 4 5, the last digit will be a 5 or 0

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Divisibility Rules 6, the last digit will be even and the digits will add to 3, 6 or 9 8, the number made by the last three digits will be divisible by 8

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**Divisibility Rules 9, the sum of the digits will be 9**

10, the last digit will be a 0 There is no easy test for 7, although some methods have been invented, however it is easier to use a pencil and paper method.

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**Divisibility Rules Apply these rules to these numbers: 74,673,042**

444,555,448 61,616,168 732,510 66,666,666 179,131,590

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Divisibility and Mental Math Lesson 3-1. Vocabulary A number is divisible by another number if it can be divided into and result in a remainder of 0.

Divisibility and Mental Math Lesson 3-1. Vocabulary A number is divisible by another number if it can be divided into and result in a remainder of 0.

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