Six digit 2008 () () can be divided by 15, so there are () such six digits
First of all, consider dividing by 5, the last digit is 5 or 0, and the other digit can be 0-9. There are 20 such numbers. Then consider dividing by 3, the sum of all digits is a multiple of 3, and the sum of the last two digits is 2 or 5 or 8. Such a combination has 20, 50, 80, 05, 35, so there are 5 such 6 digits