Have you ever wondered why certain numbers divide evenly into a number while others will not? Divisibility Rules or Tests will help you determine whether the given number actually divides the other number without actually dividing. Maths may not be easy for some of us and to help you we have listed the guidelines on whether a Number is Divisible by 6 or not. Check out Solved Examples for testing whether a number is divisible by 6 or not.
Also, Refer:
Divisibility Rule of 6 – Definition
A number is divisible by 6 if it is divisible by both 2 and 3. To know whether a number is divisible by 6 one needs to know both the Divisibility Rules of 2 and 3 in advance.
How to Check whether a Number is Divisible by 6 or not?
Go through the below Divisibility Guidelines of 6 to know whether a number is divisible by 6 or not. To know if a number is divisible by 6 it has to meet two conditions in prior and they are along the lines
- It has to be divisible by 2 i.e. the last digit in the number should be even.
- It has to be divisible by 3 i.e. the sum of digits must be a multiple of 3.
If both the conditions are met then the given number is also a multiple of 6 and divisible by 6.
Solved Examples on Divisibility Tests for 6
Find whether the following numbers are divisible by 6 or not
Example 1.
48
Solution:
Given Number is 48
To check whether it is divisible by 6 or not it has to meet two conditions
48 is divisible by 2 since the units digit of the number i.e. 8 is divisible by 2
48 is divisible by 3 since the sum of digits is a multiple of 3 i.e. 4+8 = 12 is divisible by 3
Therefore, 48 is divisible by both 2 and 3
Thus, 48 is divisible by 6.
Example 2.
258
Solution:
Given Number is 258
258 is divisible by 2 since the units digit of the number i.e. 6 is divisible by 2
258 is divisible by 3 since the sum of digits is divisible by 3 i.e. 2+5+8 = 15 is divisible by 3
Since 258 is divisible by both 2, 3 it is also divisible by 6
Example 3.
154
Solution:
Given Number is 154
154 is divisible by 2 since the units digit of the number i.e. 4 is divisible by 2
154 is not divisible by 3 as the sum of the digits is not divisible by 3 i.e. 1+5+4 = 10
10 is not divisible by 3
Since the given number is not divisible by 3 the given number is not divisible by 6.
Example 4.
243
Solution:
Given Number is 243
243 is not divisible by 2 since the units digit of the number is not divisible by 2 i.e. 3 is not divisible by 2
243 is divisible by 3 since the sum of digits is a multiple of 3 i.e. 2+4+3 = 9 and 9 is divisible by 3
Since the given number is not divisible by 2 it is not divisible by 6
Therefore, 243 is not divisible by 6.
Read More Divisibility Tests:
| Divisible by 2 | Divisible by 3 | Divisible by 4 |
| Divisible by 5 | Divisible by 7 | Divisible by 8 |
| Divisible by 9 | Divisible by 10 |