I do not understand this problem can somebody please help me with it? Fill in the missing digits in as many ways as possible so the number will be divisible by 6.

Question

3 _ 2 _ Thanks for the help.

Answer 1

As you already know, For the number to be divisible, it has to be divisible by 2 and by 3.
Divisble by 2 means that the last digit must be even (2,4,6,8,0).
Divisible by three means that the sum of the digits must add up to a multiple of 3.

So start with the last digit as 2, and fill in the second digit with all possible answers (2,5,8).
Repeat the same using 4 as the last digit, and find the possible answers for the second digit (3, 6, 9).
Now repeat 6,8,0 successively for the last digit and repeat the above.
You should have a total of 5*3=15 numbers.

Answer 2

I have a total of 16 numbers not 15 and I have double checked my answers