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Question

Which of the following numbers is divisble by 3?

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Solution

The divisibility rule for 3 states that a number is completely divisible by 3 if the sum of its digits is divisible by 3.

For 4561:

Sum of digits = 4 + 5 + 6 + 1

= 16

Here, the remainder is 1. Hence, the number is not divisible by 3.

For 2312:

Sum of digits = 2 + 3 + 1 + 2

= 8

Here, the remainder is 2. Hence, the number is not divisible by 3.

For 7110:

Sum of digits = 7 + 1 + 1+ 0

= 9

Here, the remainder is 0. Hence, 7110 is divisible by 3.

For 4264:

Sum of digits = 4 + 2 + 6 + 4

= 16
Here, the remainder is 1. Hence, 4264 is not divisible by 3.


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