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.
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.
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