Test for divisibility by 3

 Divisibility Rule to test if the number is divisible 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 divisibility test of 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.

 test of divisibility by 3 showing 3465 is divisible by 3
Example for the test of divisibility by 3 showing 3465 is divisible by 3

    We get remainder 0.

  1. 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 –

3625 is not divisible by 3
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 divisible by 3.

Go over-

Mathematics

How to Test Divisibility

Test for Divisibility by 2

 

 

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