Divisibility Rule of 6


 
 
Concept Explanation
 

Divisibility Rule of 6

Divisibility Rule of 6:

The prime factors of 6 are 2 and 3. So for a number to be divisible by 6, it must also be divisible by 2 and 3. Therefore, we need to check if a number is even and then check if the sum of the digits is divisible by 3.

Illustration: Check whether 23,908 is divisible by 6 or not?

Solution:

Step 1: Determine if the number is even. It ends in 8, so this number is even. Therefore it is divisible by 2.

Step 2: Add the digits together. 2 + 3 + 9 + 0 + 8 = 22.

Step 3: 3 does not divide evenly into 22. So this number is not divisible by 3.

Step 4: Because this number is only divisible by 2, and not by 3, it is not divisible by 6.

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Sample Questions
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Question : 1

The numbers given in the option identify the number that should be filled to make the 7 _ _  divisible by 6 ?

Right Option : C
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Question : 2

What smallest number should be filled to make the 9_ _ 52 divisible by 6

Right Option : C
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Explanation
Question : 3

By which number is 35922 divisible :

Right Option : D
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Explanation
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