Divisibility Rule of 6


 
 
Concept Explanation
 

Divisibility Rule of 6

Divisibility Rule of 6:

A number to be divisible by 6, it must also be divisible by 2 and 3.

Justification:

In case of a composite number we will consider the co-prime factors of a composite number.

We will then check the divisibility with each co-prime factor. 

A number is divisible by a composite number, only when it is divisible by each co-prime factors of that number.

In case of 6 the co-prime factors are 2 and 3

  So for a number to be divisible by 6, it must also be divisible by both 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.

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Sample Questions
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Question : 1

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

Right Option : C
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Question : 2

By which number 543126 is divisible ?

Right Option : D
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Question : 3

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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Explanation
 
 


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