Divisibility Rules or Divisibility Tests are used to easily test if the number can be divided by divisor or not.
The number is said to be divisible by another if the result of division is a whole number.
Here are the rules which will make your process easy.
Divisible By: |
If |
Examples |
2 |
The number is even. Or The last(units) digit of the number is 0, 2, 4, 6 or 8 |
84 is divisible by 2. |
3 |
The sum of the digits of number is divisible by 3. |
1248 is divisible by 3. |
4 |
The last two digits of the number is divisible by 4. And the numbers having two or more zeros at the end. |
23456 is divisible by 4. |
5 |
The numbers having 0 or 5 at the end. |
12345 is divisible by 5. |
6 |
The number is divisible by both 2 and 3. |
5358 is divisible by 6. |
7 |
The difference between twice the units digit and the number formed by other digits is either 0 or divisible by 7. |
861 is divisible by 7. |
8 |
The number formed by last three digits is divisible by 8. And the numbers having three or more zeros at the end. |
2056 is divisible by 8. |
9 |
The sum of all the digits is divisible by 9. |
5301 is divisible by 9. |
10 |
The number ends with zero. |
467590 is divisible by 10. |
11 |
The difference between the sum of digits at even places and sum of digits at odd places is 0 or divisible by 11. |
10538 is divisible by 11. |
12 |
The number is divisible by both 3 and 4. |
5472 is divisible by 12. |
13 |
Method: Multiply last digit of the number by 4 and add it to the remaining number. Continue this process until two digit number is achieved. If this two digit number is divisible by 13 then the number is divisible by 13. |
182 is divisible by 13. |
14 |
The number is divisible by both 2 and 7. |
7966 is divisible by 14. |
15 |
The number is divisible by both 3 and 5. |
3525 is divisible by 15. |
16 |
The number formed by last four digits is divisible by 16. |
41104 is divisible by 16. |
17 |
Method: Multiply last digit with 5 and subtract it from the remaining number. If the result is divisible by 17 then the original number is also divisible by 17. Repeat this process if required. |
4029 is divisible by 17 |
18 |
The number is even and divisible by 9. |
4428 is divisible by 18. |
19 |
Method: Multiply last digit with 2 and add it to the remaining number. If the result is divisible by 19 then original number is also divisible by 19. Repeat this process if required. |
1235 is divisible by 19. |