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Question

Determine whether 93573 is divisible by 6


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Solution

Checking divisibility by 6 -

Divisibility by 6 : A number is divisible by 6 if it is divisible by 2 as well as 3.

Check divisibility by 2 [ number which has 0,2,4,6or 8 in its last ( unit's ) digit is divisible by 2 ]

The last( unit's) digit of 93573 is 3 which is not divisible by 2 . So , the given number is not divisible by 2

Check divisibility by 3 [ if the sum of digits of a number is divisible by 3 , then the number is divisible by 3 ]

9+3+5+7+3=27

Therefore, the number is divisible by 3

93573 is not divisible by 6 because it is not divisible by both 2 and 3

Hence, 93573 is not divisible by 6


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