Divisibility Rule of 4


 
 
Concept Explanation
 

Divisibility Rule of 4

Divisibility Rule of 4 :

A natural number is divisible by 4, if the number formed by its digits in units and tens places is divisible by 4.

Justification:

Consider a three digit number abc.

We have,

         overline{abc} = 100a + 10b + c

Rightarrow    overline{abc} = 100a + (10b + c )

Rightarrow    overline{abc} = 100a + overline{bc}

Rightarrow    overline{abc} = ( 4 times 25a ) + overline{bc}

Rightarrow    overline{abc} = a multiple of 4 + overline{bc}

Rightarrow    overline{abc} is divisible by  4, if overline{bc} i.e. the number formed by digits in units and tens places is divisible by 4.

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Sample Questions
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Question : 1

By which number 76109380 is divisible :

Right Option : D
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Question : 2

Given that the number overline{7713a8} is divisible  by 4, where a is a digits what are the possible values of a?

Right Option : D
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Explanation
Question : 3

Which of the following number is divisible by 4?

789984, 365832, 10098, 395522, 654320, 654321

Right Option : C
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Explanation
 
 


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