Solved Examples on 3 Divisibility Rule
Example 1: Is the number 987654321 divisible by 3?
Solution:
Sum of digits: 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 45
Check if the sum is divisible by 3: 45 is divisible by 3.
Hence, 987654321 is divisible by 3.
Example 2: Is the number 1001 divisible by 3?
Solution:
Sum of the digits: 1 + 0 + 0 + 1 = 2
Check if the sum is divisible by 3: 2 is not divisible by 3.
Hence, 1001 is not divisible by 3.
Example 3: Is the number 123456789 divisible by 3?
Solution:
Sum of digits: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45
Check if the sum is divisible by 3: 45 is divisible by 3.
Hence, 123456789 is divisible by 3.
Example 4: Is the number 780 divisible by 3?
Solution:
Sum of the digits: 7 + 8 + 0 = 15
Check if the sum is divisible by 3: 15 is divisible by 3.
Hence, 780 is divisible by 3.
Divisibility Rule of 3
Divisibility rule or Divisibilty Test of 3 is a simple mathematical guideline used to determine whether a given integer is divisible by 3 without performing the actual division operation.
In this article, we will learn what is divisibility rule of 3, how to use divisibility rule of 3 with examples and solve some questions based on it.
Table of Content
- What is Divisibility Rule?
- What is Divisibility Rule of 3?
- Divisibility Rule of 3 for Large Numbers
- Divisibility Rule of 3 and 9
- Divisibility Rule of 3 and 6