2a163 is a five digit number. It is divisible by 3. List all the possible values of a.

Answer 1

To determine the possible values of a, we need to find all the values that make 2a163 divisible by 3.

In order for a number to be divisible by 3, the sum of its digits must be divisible by 3.

So, 2 + a + 1 + 6 + 3 = 12 + a must be divisible by 3.

From this equation, it is clear that a can be 0, 3, 6, or 9 in order for the sum of the digits to be divisible by 3.

Therefore, the possible values of a are 0, 3, 6, and 9.