Divisibility Rules

Some children find math to be challenging. To solve math problems quickly and simply without tedious calculations, there are situations when tricks are required. Divisibility rules are rules that are used to determine whether a given number is divisible by a specific number.

Divisibility tests are performed to easily determine the factors for large numbers without actually dividing the numbers. These divisibility rules allow us to avoid long division by mentally determining whether a number is totally divisible by another number.

It also helps children do better on tests. To simplify and speed up the division process, division rules or tests have been formulated. Children can more effectively solve the questions if they learn the division rules in mathematics or the tests for divisibility from 1 to 20.

This teaching guide aims to further simplify the concept of divisibility rules by providing stunning posters, exhilarating activities, and colourful worksheets for practise.

### Test For Divisibility By 2

• Given number is divisible by 2 if it has any even number like 0, 2, 4, 6, 8 etc in its ones digit.
• For example, 2462, 3478 are divisible by 2.

### Test For Divisibility By 3

• A given number is divisible by 3 if the sum of all digits of the given number is multiple of 3.
• For example – 279 – as 2 + 7 + 9 = 18 and 18 is a multiple of 3, the given number is divisible by 3.

### Test For Divisibility By 4

• A given number is divisible by 4 if its last 2 digits are divisible by 4.
• For example, 3716 – as the last 2 digits, 16 is easily divisible by 4.

### Test For Divisibility By 5

• The given number is divisible by 5 if the last 2 digits are 0 or 5.
• For example, 3420, 465 as the last digits are 0 and 5.

### Test For Divisibility By 9

• The given number is divisible by 9 if the sum of all digits of the given number is multiple of 9.
• For example, 288, here the sum of all digits 2 + 8 + 8 = 18 is a multiple of 9.

### Test For Divisibility By 10

• The given number is divisible by 10 if the last digit is 0.
• For example, 2340, 560

### Test For Divisibility By 11

• The given number is divisible by 11 if all the digits are added and subtracted in the alternate pattern and the result obtained is the multiple of 11.
• For example, 913 – here on adding and subtracting alternate digits
• We get 9 – 1 + 3 = 11

Posters

Teaching divisibility rules with kid-friendly, clear, and easy-to-understand posters from Uncle Math School by Fun2Do Labs

Stories

Ignite kids’ curiosity with engaging stories for role play and skits, making the learning of this concept an exciting and effective experience. Teaching divisibility rules through stories from Uncle Math School by Fun2Do Labs :

Text of Stories

Activities

Learning divisibility rules can be made enjoyable by incorporating interactive games and activities.

### Flash Cards :

This activity can be used for better practise of divisibility rules.

• Educators can make flashcards for different numbers as shown below.
• Keep flashcards on the table.
• Guide children to pick up the flash card and solve it in the minimum possible time.
• A child who solves all flash cards correctly in the minimum possible time is declared a winner.