# Divisible by 3

This topic is on the divisibility rule of 3 and few examples based on the topic.

If the sum of the digits is divisible by 3 then the whole number is divisible by 3.

For example 519

The sum of the digits = 5 + 1 + 9 = 15

15 is divisible by 3 hence 519 is also divisible by 3

Here are few examples on the divisibility rule of 3

1. Check whether the following numbers are divisible by 3 or not?

(i) 789

(ii) 451

(iii) 322

(iv) 410

(v) 561

(vi) 111

(vii) 327

(viii) 848

(ix) 450

(x) 356

Solution:

(i) 789

Sum of the digits = 7 + 8 + 9 = 24

24 is divisible by 3 hence 789 is divisible by 3

(ii) 451

Sum of the digits = 4 + 5 + 1 = 10

10 is not divisible by 3 hence the number is also not divisible by 3

(iii) 322

Sum of the digits = 3 + 2 + 2 = 7

322 is not divisible by 3 as 7 is not divisible by 3

(iv) 410

Sum of the digits = 4 + 1 + 0 = 5

5 is not divisible by 3 hence 410 is also not divisible by 3

(v) 561

Sum of the digits = 5 + 6 + 1 = 12

561 is divisible by 3 as 12 is divisible by 3

(vi) 111

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

3 is divisible by 3 hence 111 is also divisible by 3

(vii) 327

Sum of the digits = 3 + 2 + 7 = 12

327 is divisible by 3 as 12 is divisible by 3

(viii) 848

Sum of the digits = 8 + 4 + 8 = 20

20 is not divisible by 3 hence 848 is also not divisible by 3

(ix) 450

Sum of the digits = 4 + 5 + 0 = 9

9 is divisible by 3 hence 450 is also divisible by 3

(x) 356

Sum of the digits = 3 + 5 + 6 = 14

356 is not divisible by 3 as 14 is not divisible by 3

2. Fill in the blanks to make the numbers divisible by 3.

(i) 6 …. 7

(ii) 4 …. 0

(iii) …. 75

(iv) 2 …. 6

(v) …. 33

(vi) 40 ….

(vii) 7 …. 3

(viii) 5 …. 6

(ix) …. 11

(x) 9 …. 0

Solution:

() 627

(ii) 480

(iii) 675

(iv) 216

(v) 333

(vi) 405

(vii) 753

(viii) 516

(ix)  111

(x) 900

Explanation:

The numbers should be filled in such a way that the sum of the digits is divisible by 3.

## You might like these

• ### Worksheet on Divisibility Rules | Questions on Test of Divisibility

This is a worksheet which will provide few problems on the divisibility rule of 2, 3, 4, 5, 6, 7, 8, 9, and 10. 1. Check whether the following numbers are divisible by 2 or 3 or both? (i) 2562 (ii) 5693 (iii) 2201 (iv) 7480 (v) 5296 (vi) 4062 (vii) 4568 (viii) 1425 (ix) 1110

• ### Problems on Divisibility Rules | Rules to Test of Divisibility | Test

Here are few problems on the divisibility rules of 2, 3, 4, 5, 6, 7, 8, 9, and 10 which will help the learners in revising their concepts on the divisibility rules. 1. Check whether 3456 is divisible by 2? Solution: The last digit is an even number (i.e. 6) hence 3456 is

• ### Divisible by 10|Test of Divisibility by 10|Rules of Divisibility by 10

The divisibility rule of 10 states that If the last digit of a number is 0 then the given number is divisible by 10. For eg: Check whether 5400 is divisible by 10 or not? Solution: As the last digit of the number is 0 hence, 5400 is divisible by 10

• ### Divisible by 9 | Test of Divisibility by 9 |Rules of Divisibility 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 eg: 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

• ### Divisible by 8 | Test of Divisibility by 8 |Rules of Divisibility by 8

The most common method to check whether a number is divisible by 8 is to divide and see if the quotient is a whole number or not? If the quotient is a whole number then the given number is divisible by 8. But there is an easier way to check by using the divisibility rule.

• ### Divisible by 7 | Test of Divisibility by 7 |Rules of Divisibility by 7

This rule states that if the difference between twice the digit at units place and the number formed from the remaining digits of the given number is divisible by 7 then the whole number is divisible by 7.

• ### Divisible by 6 | Test of divisibility by 6 |Rules of Divisibility by 6

This topic on divisible by 6 will discuss about the divisibility rule of 6 and few example on the same. Divisibility rule of 6: A number is divisible by 6 if the prime factor of that is 2 & 3 is divisible by 6. For Example: 216 216 is divisible by 2 as the last digit 6 is

• ### Divisible by 5 | Test of divisibility by 5 |Rules of Divisibility by 5

This topic on divisible by 5 will discuss on the divisibility rule of 5 and illustrate few example on the same. Divisibility Rule of 5: If a number ends with 0 or 5 then the number is divisible by 5. For Example: 550 Since the number ends with 0 hence the number is divisible

• ### Divisible by 4 | Rules of Divisibility by 4|Divisibility Rules & Tests

This topic i on divisibility rule of 4 and will provide examples on the same. Divisibility Rule of 4: If the last two digits of the number is divisible by 4 then the whole number is divisible by 4 For eg: 524 The last two digit of the number is 24 which is divisible by 4.

## Recent Articles

1. ### Respiratory Balance Sheet | TCA Cycle | ATP Consumption Process

Feb 18, 24 01:56 PM

The major component that produced during the photosynthesis is Glucose which is further metabolised by the different metabolic pathways like glycolysis, Krebs cycle, TCA cycle and produces energy whic…

2. ### Electron Transport System and Oxidative Phosphorylation | ETC |Diagram

Feb 04, 24 01:57 PM

It is also called ETC. Electron transfer means the process where one electron relocates from one atom to the other atom. Definition of electron transport chain - The biological process where a chains…

3. ### Tricarboxylic Acid Cycle | Krebs Cycle | Steps | End Products |Diagram

Jan 28, 24 12:39 PM

This is a type of process which execute in a cyclical form and final common pathway for oxidation of Carbohydrates fat protein through which acetyl coenzyme a or acetyl CoA is completely oxidised to c…

4. ### Aerobic Respiration | Definition of Aerobic Respiration | Glycolysis

Dec 15, 23 08:42 AM

This is a type of respiration where molecular free oxygen is used as the final acceptor and it is observed in cell. Site of Aerobic Respiration - Aerobic respiration is observed in most of the eukaryo…