Nov02

Divisibility Guidelines for 6, 8 and 12

In this post, we are going to learn about the guidelines behind knowing if a number is divisible by 6, 8, or 12. Divisibility guidelines for 6, 8 and 12.

divisibility

Divisibility guidelines for 6:

To know if a number is divisible by 6, you have to first check if it is divisible by 3 and by 2. If it is divisible by 2 and by 3, then it is divisible by 6.

For example: Is 138 divisible by 6?

First, we are going to check if it is divisible by 2: 138 ends in 8, which is an even number, therefore 138 is divisible by 2.
Now, we are going to check if it is divisible by 3 by adding all the digits, 1 + 3 + 8 = 12. As 12 is divisible by 3, then 138 is also divisible by 3.
Since 138 is divisible by both 3 and 2, 138 it is also divisible by 6.

Divisibility guidelines for 8:

To know if a number is divisible by 8, you have to first check if its last 3 digits are divisible by 8. If the last 3 digits are divisible by 8, then the whole number is also divisible by 8.

For example: Is 12856 divisible by 8?

Let’s take the last 3 digits of 12856 and divide them by 8. 856/8 = 107
Since we were left with no remainder, 856 is divisible by 8. Therefore, 12856 is indeed divisible by 8.

Divisibility guidelines for 12:

In order to know if a number is divisible by 12, you have to first check if it is divisible by 3 and 4. If it is divisible by both 3 and 4, then the number is divisible by 12.

For example: Is 168 divisible by 12?

First, we are going to check if it is divisible by 3. To do that, we add its digits: 1 + 6 + 8 = 15. Since 15 is divisible by 3, 168 is also divisible by 3.
Now we are going to check if it is divisible by 4. To do that, we divide its last 2 digits by 4. 68/4 = 17.
Since there is no remainder, 68 is divisible by 4. Therefore, 168 is also divisible by 4.
Therefore, since 168 is divisible by both 3 and 4, 168 is also divisible by 12.

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