Find the correct divisibility of 345.

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answer is B.

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Detailed Solution

Let's say the number 123 has a sum of digits of (1+2+3)= 6, which is divisible by 3, so the number 123 is divisible by 3.
Thus, the sum of digits for 345 is (3+4+5)= 12, which is divisible by 3. As a result, 345 is divisible by 3.
Check the last two digits of the number for the divisibility rule of 4. If they are divisible by 4, the number is also divisible by 4.
For example, 108 has the last two digits 08, which is divisible by 4, so the number is divisible by 4.
Thus, the last two digits of 345 are 45, which is not divisible by 4. As a result, the number is not divisible by 4.
For the divisibility rule of 5, the last number must be either 0 or 5, otherwise it is divisible by 5.
Consider the number 125, whose last digit is 5. As a result, it is divisible by 5.
Thus, for 345 its last digit is 5, hence it will be divisible by 5.

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