Divisibility rules

Divisibility rules of whole numbers are very useful because they help us to quickly determine if a number can be divided by 2, 3, 4, 5, 9, and 10 without doing long division. This is especially useful when the numbers are large.
Divisibility Rule of 1.
Any integer that is not a fraction is divisible by 1.
Eg:- 23, 84, 974, 1023
Divisibility Rule of 2.
If a number is an even number or a number whose last digit is an even number.
Eg:-  0, 2, 4, 6, 8, 10
Divisibility Rule of 3.
When the sum of all digits of a number is a multiple of 3.
Eg:- 516, 36, 119, 5502
Divisibility Rule of 4.
The number formed by last 2 digits is divisible by 4.
Eg:- 92, 780, 52, 300
Divisibility Rule of 5.
When the ones digit of the number is either 0 or 5.
Eg:- 55, 125, 1000, 760
Divisibility Rule of 6.
A number is divisible by 6 if it is divisible by 2 and 3 also.
Eg:- 270, 630, 144, 42
Divisibility Rule of 7.
When the difference between twice the digits at ones place and the number formed by other digit is either zero or a multiple of 7.
Eg:- 1073, 98, 56, 140
Divisibility Rule of 8.
The number formed by last 3 digits is divisible by 8.
Eg:- 1792, 1824, 2000, 2880
Divisibility Rule of 9.
When the sum of all digits of a number is a multiple of 9.
Eg:- 51984, 2979, 9000, 135
Divisibility Rule of 10.
When the ones digit is zero.
Eg:- 1000, 150, 670, 280