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

What smallest number should be filled to make the 670_ _ divisible by 4.

Right Option : B
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Question : 2

The number 68764 is divisible by _______________.

Right Option : C
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Explanation
Question : 3

Which of the following number is divisible by 4?

6551, 5420, 9875, 4518

Right Option : B
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Explanation
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