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Question

Check the divisibility of the following numbers by 6:

152334


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Solution

152334 is divisible by 6 if 2 and 3 both divide it.

Step 1: Finding the divisibility of 152334 by 2:

Since, 152334 is an even number. Therefore it is divisible by 2.

Step 2: Finding the divisibility of 152334 by 3:

The sum of digits of 152334 is 1+5+2+3+3+4=18 which is divisible by 3. Therefore, 152334 is also divisible by 3.

Since, 152334 is divisible by both 2 and 3. Therefore, 152334 is divisible by 6 also.

Thus, 152334 is divisible by 6.


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