These are the few basic divisibility rules which every Mathematics lover should know. These divisibility rules will help in a faster calculation, thus saving a lot of time; especially in the exams.

## Divisibility Rules for 2

• If a number ends with either 0 or even digit, it is divisible by 2.
• Examples- 10, 32, 44, 56, 188 etc.

## Divisibility Rules for 3

• When the sum of the digits of a number is divisible by 3, then the number is divisible by 3.
• Example- 4563 (Here sum of the digits i.e., 4+5+6+3=18 is divisible by 3 so the number must be divisible by 3).

## Divisibility Rules for 4

• When the number made by last two digits of the given number is divisible by 4.
• Also, if the number having two or more zeros at the end.
• Examples- 400, 8500, 754000, 564, 33832 etc.

## Divisibility Rules for 5

• Number ending with either 0 or 5 is divisible by 5
• Examples- 55, 15, 50, 65, 85 etc.

## Divisibility Rules for 6

• The number must be divisible by 2 and 3 both.
• Examples- 6, 12, 66, 72 etc.

## Divisibility Rules for 7

• When the difference between twice the digit at One’s Place and the number formed by other digits is either zero or a multiple of 7.
• Example- 658 is divisible by 7 i.e., (658 — 65 – 2*8 = 49 is divisible by 7).

## Divisibility Rules for 8

• If the number made by last three digits of a given number is divisible by 8.
• Also, if the number is having three or more zeros at the end.
• Examples- 9256, 65000, 895740000 etc.

## Divisibility Rule for 9

• When the sum of all digits of the given number is divisible by 9.
• Example- 85869 (8+5+8+6+9=36 is divisible by 9).

## Divisibility Rule for 10

• A number ending with zero is divisible by 10
• Examples- 10, 50, 5600, 450, 8886540 etc.

## Divisibility Rules for 11

• If the sums of digits at odd and even places are equal or differ by a number divisible by 11.
• Example- 2865432

Sum of digits at odd places 2+6+4+3=15

Sum of digits at even places 8+5+2= 15

Both are equal, so divisible by 11

• Example- 217382

Sum of digits at odd places 2+7+8=17

Sum of digits at even places 1+3+2= 6

Differ by 11 (17-6), so divisible by 11

## Divisibility Rules for 12

• If a number is divisible by both 4 and 3.
• Examples- 144, 3600, 2064 etc.

## Divisibility Rules for 14

• If the number is divisible by both 7 and 2.
• Example- 98, 15694 etc.

## Divisibility Rules for 15

• If the given number is divisible by 5 and 3 is also divisible by 15.
• Examples- 183555, 135 etc.

## Divisibility Rule for 16

• A number is divisible by 16 if number made by its last 4 digits is divisible by 16.
• Example- 126304 etc.

## Divisibility Rule for 18

• If a number is even and is divisible by 9, then it is divisible by 18.
• Examples- 108, 4356 etc.

## Divisibility Rule for 25

• If last two digits are either zero or divisible by 25.
• Examples- 75, 50, 13550, 1275 etc.

## Divisibility Rule for 125

• If the last three digits are divisible by 125.

Examples- 630125; Here last three digits 125 is divisible by 125, so the number 630125 is also divisible by 125.

You may like Basic Profit and Loss Formulas

This site uses Akismet to reduce spam. Learn how your comment data is processed.