A number is divisible by 3, if the number obtained by adding its digits is divisible by 3. If you don't know the new number's divisibility, you can apply the rule again.

Example 1 of Rule of Divisibility for 3

Find whether 23451 is divisible by 3 or not.

Solution : The number formed by sum of the digits = 2 + 3 + 4 + 5 + 1 = 15. We know 15 is divisible by 3. ∴ 23451 is divisible by 3. Ans.

Example 2 of Rule of Divisibility for 3

Find whether 142367 is divisible by 3 or not.

Solution : The number formed by sum of the digits = 1 + 4 + 2 + 3 + 6 + 7 = 23. We know 23 is not divisible by 3. ∴ 142367 is not divisible by 3. Ans.

Example 3 of Divisibility Rule for 3

Find whether 652743 is divisible by 3 or not.

Solution : The number formed by sum of the digits = 6 + 5 + 2 + 7 + 4 + 3 = 27. We know 27 is divisible by 3. ∴ 652743 is divisible by 3. Ans.

Example 4 of Divisibility Rule for 3

Find whether 5230716 is divisible by 3 or not.

Solution : The number formed by sum of the digits = 5 + 2 + 3 + 0 + 7 + 1 + 6 = 24. We know 24 is divisible by 3. ∴ 5230716 is divisible by 3. Ans.

Example 5 of Divisibility Rule for 3

Find whether 91451080 is divisible by 3 or not.

Solution : The number formed by sum of the digits = 9 + 1 + 4 + 5 + 1 + 0 + 8 + 0 = 29. We know 28 is not divisible by 3. ∴ 91451080 is not divisible by 3. Ans.
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