Divisible by 9

This rule states that a number is divisible by 9 if the sum of its digits of the number is divisible by 9

For Example: Check whether 729 is divisible by 9 or not?

Sum of the digits = 7 + 2 + 9 = 18

Now 18 is divisible by 9 hence, 729 is also divisible by 9

Here are few examples illustrated on the divisibility rule of 9

1. Check whether the following number is divisible by 9 or not?

(i) 9729

(ii) 5256

(iii) 8852

(iv) 2136

(v) 4086

(vi) 5103

(vii) 8811

(viii) 813

(ix) 891

(x) 45363


Solution:

(i) 9729

Sum of the digits = 9 + 7 + 2 + 9 = 27

As, 27 is divisible by 9 hence, 9729 is also divisible by 9


(ii) 5256

Sum of the digits = 5 + 2 + 5 + 6 = 18

5256 is divisible by 9 as 18 is divisible by 9


(iii) 8852

Sum of the digits = 8 + 8 + 5 + 2 = 23

As, 23 is not divisible by 9 hence, 8852 is not divisible by 9


(iv) 2136

Sum of the digits = 2 + 1 + 3 + 6 = 12

As, 12 is not divisible by 9 hence, 2136 is not divisible by 9


(v) 4086

Sum of the digits = 4 + 0 + 8 + 6= 18

18 is divisible by 9 hence, 4086 is also divisible by 9


(vi) 5103

Sum of the digits = 5 + 1 + 0 + 3 = 9

As, 9 is divisible by 9 hence the number I divisible by 9


(vii) 8811

Sum of digits = 8 + 8 + 1 + 1 = 18

8811 is divisible by 9 as 18 is a multiple of 9


(viii) 813

Sum of the digits = 8 + 1 + 3= 12

813 is not divisible by as 12 is a multiple of 9


(ix) 891

Sum of the digits = 8 + 9 + 1 = 18

18 is a multiple of 9 hence, 891 is divisible by 9


(x) 45363

Sum of the digits = 4 + 5 + 3 + 6 + 3 = 21

As, 21 is not divisible by 9 hence, 45363 is not divisible by 9


2. Rewrite the series in a different color with numbers that are divisible by 9.

8581    7272    2345    9090    3027    981      3203    6580    6057

Solution:

8581    7272    2345    9090    3027    981      3203    6580    6057


3. Fill in the blanks with digits to make the following numbers divisible by 9:

(i) 7 … 96

(ii) 45 … 1

(iii) 10 … 3

(iv) 9 … 56

(v) 7 … 11

(vi) 4 … 23

(vii) 125 …

(viii) … 525

(ix) 332 …

(x) 556 …


Solution:

(i) 7596

(ii) 4581

(iii) 1053

(iv) 9756

(v) 7011

(vi) 4023

(vii) 1251

(viii) 6525

(ix) 3321

(x) 5562


Note: In the above example fill in with such digit so as to make the sum of the digits divisible by 9

You might like these




5th Grade Math

From Divisible by 9 to HOME PAGE

New! Comments

Have your say about what you just read! Leave me a comment in the box below.


Recent Articles

  1. Eleventh Grade | Eleventh Grade Science | Eleventh Grade Math

    Jun 27, 25 12:26 AM

    Eleventh grade biology has been designed in accordance with the recommended topics. We will cover all the topics in biology very exciting and interesting way.

    Read More

  2. Explain Digestion of Food | Salivary Glands | Oesophagus | Stomach

    Jun 27, 25 12:20 AM

    Human Digestive System
    Before the digestion is start by the different enzymes secreted from the different digestive glands food must be turned and chut or mixed with saliva inside the mouth.

    Read More

  3. Explain Human Digestive System | Mouth | Tongue | Pharynx | Teeth

    Jun 21, 25 01:15 PM

    Tongue
    Digestive system is a system of alimentary canal and digestive glands. Alimentary canal- alimentary canal is a tube of variable diameter having muscular wall and glandular epithelial tissues which sta…

    Read More

  4. Vernalisation in Plants | Definition | Mechanism | Devernalization |

    Jun 18, 25 01:34 PM

    Photoperiod and Vernalisation
    Definition of vernalisation- The change of flowering habit due to the low temperature treatment is known as vernalisation. This is a physiological process which was denoted by Clipart in 1857 invite b…

    Read More

  5. The Food We Eat | Food we Get from Plants and Animals | Carbohydrates

    Jun 15, 25 03:20 PM

    Food We Eat
    What are the food that we should eat? Find out the names of ten food items in the word maze. Write the names in the correct column of the table given below. Food we get from plants Food we get from an…

    Read More