To determine if a number is a multiple of 6, you can divide that number by 6. If the answer is a whole number, then the given number is a multiple of 6.
First, let's check 424. When you divide 424 by 6, you get 70.67 which is not a whole number, so 424 is not a multiple of 6. When you divide 106 by 6, you get 17.67 which is not a whole number so 106 isn't a multiple of 6. When you divide 333 by 6, you get 55.5 which isn't a whole number so 333 isn't a multiple of 6. Lastly, if you divide 882 by 6, you get 147 which is a whole number, so 882 is a multiple of 6. Therefore, D (882) is the answer.
I hope this helps.