We will apply the divisibilityrule of 3forfinding the solution.
Answer: Yes, anumber is divisible by 3 if the sum of its digits is divisible by 3.
Let’s see the solution with the help of some examples.
See Also
Multiples of 3 | List of Multiples of 3Rules of Divisibility 1 to 13: Definition, Examples, Chart, FactIs 0 considered divisible by any integer? For example, is 0Factors of 3 | How to Find the Prime Factors of 3 by the Prime Factorization Method?Explanation:
Taking three numbers 27, 29, and 459 for illustration.
(i) 27
The sum of the digits is2 + 7 =9
9 is a multiple of 3
Hence, 27 is divisible by 3.
(ii) 29
The sum of the digits is 2 + 9 = 11
11 - again taking the sum of digits,1 + 1 =2
2 is not divisible by 3. So, 11 is not divisible by 3.
Hence, 29is not divisible by 3.
(iii) 459
The sum of the digits is 4 + 5 + 9 = 18
18 – taking the sum of digits, 1 +8 =9
9 is a multiple of 3.
Hence 459 is divisible by 3.
![A Number is Divisible by 3 if the Sum of its Digits is Divisible by 3? [Solved] (2024)](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mP8/h8AAvMB+NzmkbcAAAAASUVORK5CYII=)