Divisibility rules

shorthand way of determining whether a given number is divisible by a fixed divisor

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 1Edit

Any integer that is not a fraction is divisible by 1.

Eg:- 23, 84, 974, 1023

Divisibility Rule of 2Edit

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 3Edit

When the sum of all digits of a number is a multiple of 3.

Eg:- 516, 36, 119, 5502

Divisibility Rule of 4Edit

The number formed by last 2 digits is divisible by 4.

Eg:- 92, 780, 52, 300

Divisibility Rule of 5Edit

When the ones digit of the number is either 0 or 5.

Eg:- 55, 125, 1000, 760

Divisibility Rule of 6Edit

A number is divisible by 6 if it is divisible by 2 and 3 also.

Eg:- 270, 630, 144, 42

Divisibility Rule of 7Edit

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 8Edit

The number formed by last 3 digits is divisible by 8.

Eg:- 1792, 1824, 2000, 2880

Divisibility Rule of 9Edit

When the sum of all digits of a number is a multiple of 9.

Eg:- 51984, 2979, 9000, 135

Divisibility Rule of 10Edit

When the ones digit is zero.

Eg:- 1000, 150, 670, 280