## Divisibility Rule to test if the number is divisible by 3-

**Test for divisibility by 3: **All multiples of 3 are **divisible by 3** that is 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42…….

and the sum of the digits of these numbers is multiple of **3**.

Test for divisibility by 3 is-

- When the sum of the digits of a given number is
**divisible by 3**, the number is**divisible by 3**.

## Examples to check test for divisibility by 3

We shall take some **examples** to check the **divisibility test** by actually dividing the numbers by 3 to know whether we can use the rule of divisibility test by 3.

Have a look-

Of the numbers 514, 5343, 3965, 3625 which numbers are **divisible by the number 3**?

- 514

The sum of digits in the number 514 is 5 + 1 + 4 = 10,

The number 10 is not completely divisible by 3 so the number 514 is not divisible by 3.

- 5343

The sum of digits in the number 5343 is 5 + 3 + 4 + 3 = 15.

The number 15 is **divisible by 3**. So the number 5343 is **divisible by 3**.

- 3465

The sum of digits in the number 3465 is 3 + 4 + 6 + 5 =18.

The number 18 is divisible by 3. So 3465 is **divisible by 3**.

Let us check by actually dividing 3465 by 3.

We get remainder 0. So we can say that 3465 is completely divisible by 3.

- 3625 The sum of digits in the number 3625 is 3 + 6 + 2 + 5 =16. 16 is not divisible by 3. So the number 3625 is not
**divisible by 3**.

Let us check –

Example for the test of divisibility by 3 showing 3625 is not divisible by 3

We don’t get remainder 0 but 01 so 3625 is not completely **divisible by 3**.

Go over-