## DIVISIBILITY RULE FOR 3

Divisibility Rule for 3 :

In a number, if the sum of all the digits is divisible by 3 or a multiple of 3, then the number is divisible by 3.

## Divisibility Rule for 3 - Examples

Example 1 :

Check whether 252 is divisible by 3.

Solution :

Add all the digits in the number 252.

2 + 5 + 2  =  9

The sum of the digits in the given number 252 is 9 which is a multiple of 3.

So, 252 is divisible by 3.

Example 2 :

Test whether 1326 is divisible by 3?

Solution :

Add all the digits in the number 1326.

1 + 3 + 2 + 6  =  12

The sum of the digits in the given number 1326 is 12 which is a multiple of 3.

So, 1326 is divisible by 3.

Example 3 :

Check whether 6471 is divisible by 3.

Solution :

Add all the digits in the number 6471.

6 + 4 + 7 + 1  =  18

The sum of the digits in the given number 6471 is 18 which is a multiple of 3.

So, 6471 is divisible by 3.

Example 4 :

Check whether 5986 is divisible by 3.

Solution :

Add all the digits in the number 5986.

5 + 9 + 8 + 6  =  28

The sum of the digits in the given number 5986 is 28 which is not a multiple of 3.

So, 5986 is not divisible by 3.

## Related Topics

Divisibility rule for 4

Divisibility rule for 5

Divisibility rule for 6

Divisibility rule for 7

Divisibility rule for 8

Divisibility rule for 9

Divisibility rule for 10

Divisibility rule for 11

Divisibility rule for 12

Divisibility rule for 15

Divisibility rule for 18

Divisibility rule for 25

After having gone through the stuff given above, we hope that the students would have understood the divisibility rule for 3.

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