Divisibility Rule of 3 and 9
The divisibility rule for 3 helps determine if a number is divisible by 3 without performing division. Here is the detailed process:
- Sum the Digits: Add all the digits of the number together.
- Check the Sum: If the resulting sum is divisible by 3, then the original number is also divisible by 3.
The divisibility rule for 9 is similar to the rule for 3. Here is the detailed process:
- Sum the Digits: Add all the digits of the number together.
- Check the Sum: If the resulting sum is divisible by 9, then the original number is also divisible by 9.
Let us take an example for the same:
Example: Check if the number 456 divisible by 3 and 9?
Solution:
Divisibility by 3:
- Sum the digits: 4 + 5 + 6 = 15
- Check the sum: 15 is divisible by 3.
- Hence, 456 is divisible by 3.
Divisibility by 9:
- Sum the digits: 4 + 5 + 6 = 15
- Check the sum: 15 is not divisible by 9.
- Hence, 456 is not divisible by 9.
Therefore, 456 is divisible by 3 but not divisible by 9.
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