Divisibility Rule of 8


 
 
Concept Explanation
 

Divisibility Rule of 8

Divisibility Rule of 8 :

A natural number is divisible by 8, if the number formed by its digits in units, tens and hundreds place is divisible by 8.

Justification:

Consider a three digit number abcd.

We have,

         overline{abcd} = 1000a + 100b + 10c + d

Rightarrow    overline{abcd} = 1000a + (100b + 10c + d )

Rightarrow    overline{abcd} = 1000a + overline{bcd}

Rightarrow    overline{abcd} = ( 8 times 125a ) + overline{bcd}

Rightarrow    overline{abcd} = a multiple of 8 + overline{bcd}

Rightarrow    overline{abcd} is divisible by  8, if overline{bcd} i.e. the number formed by digits in units, tens and hundreds places is divisible by 8.

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Sample Questions
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Question : 1

What smallest number should be filled to make the 59_ _ 16 divisible by 8.

Right Option : B
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Explanation
Question : 2

Which of the following numbers are divisible by 8 :

4528 , 5248 , 3624 , 7488

Right Option : D
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Explanation
Question : 3

Which of the following numbers is divisible by 4 and 8?

Right Option : C
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Explanation
 
 
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