The number should be divisible by 4 (2 × 2), 11, 12 (4 × 3) 33 (11 × 3) and 132 (12 × 11). So, if the number is divisible by 4, 11 and 3 then it is divisible by the rest. So, by using all the options given above, 999900 is the greatest 6-digit number exactly divisible by 4, 11, 12, 33 and 132.