Divisibility Rules or Divisibility Tests are used or 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.
85 is not divisible by 2.
3
The sum of the digits of number is divisible by 3.
1248 is divisible by 3.
(1 + 2 + 4 + 8 = 15)
346 is not divisible by 3.
(3 + 4 + 6 = 13)
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.
(56 is divisible by 4)
13000 is divisible by 4.
(Two or more zeros at the end.)
5
The numbers having 0 or 5 at the end.
12345 is divisible by 5.
(5 is there at the end)
1234 is not divisible by 5.
(0 or 5 is not there at the end)
6
The number is divisible by both 2 and 3.
5358 is divisible by 6.
(It is divisible by both 2 and 3)
6782 is not divisible by 6.
(It is divisible by 2 but not divisible by 3)
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.
[86 – (1 × 2)) = 84 which is divisible by 7]
21 is divisible by 7.
[2 – (1 × 2)) = 0]
868 is divisible by 7.
[86 – (8 × 2)) = 70 which 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.
(056 is divisible by 8)
13000 is divisible by 8.
(Three zeros at last)
9
The sum of all the digits is divisible by 9.
5301 is divisible by 9.
(5 + 3 + 0 + 1 = 9 which is divisible by 9)
10
The number ends with zero.
467590 is divisible by 10.
(It ends with zero)
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...