Divisibility rules
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This document outlines divisibility rules that can be used to determine if a number is divisible by certain other numbers without performing long division. The rules provided are: a number is divisible by 2 if the last digit is even; divisible by 3 if the sum of the digits is 3, 6, or 9; divisible by 4 if the last two digits are divisible by 4; divisible by 5 if the last digit is 0 or 5; divisible by 6 if it meets the rules for both 2 and 3; divisible by 8 if the last three digits are divisible by 8; divisible by 9 if the sum of the digits is 9; and divisible by 10 if the last digit is 0. There is no simple rule for divisibility by 7
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Divisibility rules
- 1. Divisibility Rules How do we know when we can divide one number into another exactly? Jenny Russell
- 2. Divisibility Rules (2) A number can be divided by 2 if the last digit is even
- 3. Divisibility Rules (3) a number is divisible by 3 if the sum of the digits is 3, 6 or 9
- 4. Divisibility Rules (4) a number is divisible by 4 if the number made by the last two digits can be divided by 4
- 5. Divisibility Rules (5) A number is divisible by 5 if the last digit is a 5 or a 0
- 6. 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
- 7. Divisibility Rules (8) A number is divisible by 8 if the number made by the last three digits will be divisible by 8
- 8. Divisibility Rules (9) A number is divisible by 9 if the sum of all the digits will add to 9
- 9. Divisibility Rules (10) A number can be divided by 10 if the last digit is a 0
- 10. Divisibility Rules A number can be divided by 7 if ……………… can you find a rule?
- 11. 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
- 12. 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
- 13. 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.
- 14. Divisibility Rules Apply these rules to theses numbers: 74,673,042 444,555,448 61,616,168 732,510 66,666,666 179,131,590