Easy ways for Testing Divisibility | Divisibility Rules.

Test of Divisibility:

A divisibility rule is a quick and shorthand way of determining whether a given number is divisible by a fixed divisor without performing a lengthy process of division. This test is usually performed at examining it's digits.

Here is how we can take a test of divisibility - divisibility rule. Follow the steps given below:

Step No. 1:/button Divisible by '2' (How to know if the given number is divisible by 2?/button

The number must be even. Or check whether the number is even or not.

Examples:
4, 8, 26, 88, 210, 990, etc.

Step No. 2:/button Divisible by '3' (How to know if the given number is divisible by 3?)/button

To know whether the given number is divided by 3 or not, add all digits of provided number and make sure the sum of all digits are divided by '3'.

In detail:
- Add up all digits in a number.
- Find out what the sum is.
- Check whether the sum is multiple of 3 or not.

Also Check:

Easy ways for Testing Divisibility | Divisibility Rules.
Geometry | Math | Chapter 1 | Grade 5 | With Exercises Solution
The Number System | Math | Chapter 2 | Grade 5 | With Exercises Solution
Prime and Composite Numbers | Math | Chapter 3 | Grade 5 | With Exercises Solution
Fundamental Operations | Math | Chapter 4 | Grade 5 | With Exercises Solution
Measurement System | Math | Chapter 5 | Grade 5 | With Exercises Solution
Mensuration | Math | Chapter 6 | Grade 5 | With Exercises Solution
Unitary Method | Math | Chapter 8 | Grade 5 | With Exercises Solution
Profit and Loss | Math | Chapter 9 | Grade 5 | With Exercises Solution
Simple Interest | Math | Chapter 10 | Grade 5 | With Exercises Solution
Sets | Math | Chapter 13 | Grade 5 | With Exercises Solution
Algebra | Math | Chapter 14 | Grade 5 | With Exercises Solution

Example:
12123
=1+2+1+2+3
=9
Here 9 is divisible by 3. So, given number 12123 is divisible by 3.

Step No. 3:/button Divisible by '4' (How to know if the given number is divisible by 4?)/button

To know whether a number is divisible by 4, check if the last two digits of a number are divisible by 4 or not.

Example:
4528
Here the last two digits 2 and 8 i.e. 28 is divisible by 4. So, 4528 is divisible by 4.

Step No. 4:/button Divisible by '5' (How to know if the given number is divisible by 5?)/button

To know whether a number is divisible by 5, check the number ending at 5 or 0. Or you can say that the ending digit should be 5 or 0 to check whether a number is divisible by 5 or not.

Examples:
21560
Here the ending digit is 0. So, it is divisible by 5.
526845
Here the ending digit is 5. So, it is divisible by 5.

Step No. 5:/button Divisible by '6' (How to know if the given number is divisible by 6?)/button

To know whether a number is divisible by 6, check the even number not an odd number if it's divisible by 3.

Example:
108
Here 108 is even number and divisible by 3 (i.e. 1+0+8=9, 9 is divisible by 3). So, 108 is divisible by 6.

Step No. 6:/button Divisible by '7' (How to know if the given number is divisible by 7?)/button

To know whether a number is divisible by 7, double the last digit and subtract from the rest digits.

In detail:
- Take the last digit.
- Double the last digit.
- Subtract the double last digit from the rest of the digits.
- Check the numbers simply divisible by 7 or not.

Example:
357
= 35-7x2
= 35-14
= 21
Here 21 is simply divisible by 7. So, 357 is divisible by 7.

Step No. 7:/button Divisible by '8' (How to know if the given number is divisible by 8?)/button

To know whether a number is divisible by 8, check the last three digits divisible by 8 or not.

Example:
43664
Here the last three digits 664 is divisible by 8. So, 43664 is divisible by 8.

Step No. 8:/button Divisible by '9' (How to know if the given number is divisible by 9?)/button

To know whether the given number is divided by 9 or not, add all digits of provided number and make sure the sum of all digits are divided by '9'.

In detail:
- Add up all digits.
- Find out what the sum is.
- Check whether the sum is divisible by 9 or not.

Example:
8649
= 8+6+4+9
= 27
Here 27 is divisible by 9. So, 8649 is divisible by 9.

Step No. 9:/button Divisible by '10' (How to know if the given number is divisible by 10?)/button

To know whether the given number is divisible by 10 or not, the ending digit must be 0. Or, you can say that a number having 0 at the end is divisible by 10.

Example:
256470
Here 0 is the last digit of the number 256470. So, 256470 is divisible by 10.

Step No. 10:/button Divisible by '11' (How to know if the given number is divisible by '11'?)/button

There are two ways to determine to check whether the number is divisible by 11 or not. They are as follows:

a. Subtract last digit from the rest digits and must be divisible by 11.

Example:
275
= 27-5
= 22
Here, 22 is divisible by 11. So, 275 is divisible by 11.

b. Find sum of odd place digits and sum of even places digits and check the difference. The difference should be 0 or multiple of 11.

Example:
19635
Here,
Sum of odd places digits = 5+6+1=12
Sum of even places digits = 3+9=12
Therefore, Difference=12-12=0
So, 19635 is divisible by 11.

Step No. 11:/button Divisible by '12' (How to know if the given number is divisible by 12?)/button

To know whether the given number is divisible by 12 or not, the number must be divisible by 3 and 4.

Example:
29484
Here, 2+9+4+8+4=27. So, 29484 is divisible by 3.

And in 29484, the last two digits are divisible by 4. So, 29484 is also divisible by 4.
Therefore if the number is divisible by 3 and 4, the number is also divisible by 12. Hence, 29484 is divisible by 12.

Dear readers, we hope that you are now able to configure the divisibility test. Thanks for being with us. If you have any confusion, please drop a comment. :)

Search Terms:/button

Divisibility Rules for Grade 5., Divisibility Rules for Class 5., Class 5 Divisibility Rules 2020., Grade 5 Divisibility Rules 2020., Divisibility Rules for number 2., Divisibility Rules for number 3., Divisibility Rules for number 4., Divisibility Rules for number 5., Divisibility Rules for number 6., Divisibility Rules for number 7., Divisibility Rules for number 8., Divisibility Rules for number 9., Divisibility Rules for number 10., Divisibility Rules for number 11., Divisibility Rules for number 12. alert-info