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Question

Without actual division, find whether 342218064 is divisible by 3 or not.

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Solution

According to the divisibility test for 3, if the sum of digits of a number is divisible by 3 then the number itself is divisible by 3.

So, applying the divisibility test for 3,
3+4+2+2+1+8+6+4=30
3+0=3, which is divisible by 3.

Hence, the given number is divisible by 3.

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