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Question

Using divisibility test, determine if the given number is divisible by 4 and by8 :

21084


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Solution

Let us first know about the divisibility rule

Divisibility Rule of 4

If the last two digits of a number are divisible by 4, then that number is a multiple of 4 and is divisible by 4 completely.

Divisibility Rule of 8

If the last three digits of a number are divisible by 8, then the number is completely divisible by 8.

Taking the given number 21084 and Considering the last two digits i.e. 84, Clearly 84 is divisible by 4 So, 21084 is divisible by 4.

Taking the given number 21084 and Considering the last three digits i.e. 084, Clearly 084 is not divisible by 8 So, 21084 is not divisible by 8.

Hence, the given number 21084 is divisible by 4 but not divisible by8.


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