The question is ambiguous. It needs more constraints to provide a specific answer. Therefore, I will address the following possible interpretations:
- The largest six-digit number divisible by 6.
- The largest whole number divisible by 6 (conceptually).
Largest Six-Digit Number Divisible by 6
The largest six-digit number is 999999. To find the largest six-digit number divisible by 6, we need to find the largest multiple of 6 that is less than or equal to 999999. We can do this by dividing 999999 by 6 and looking at the remainder.
999999 ÷ 6 = 166666 with a remainder of 3.
This means that 999999 is 3 more than a multiple of 6. Therefore, to find the largest six-digit number divisible by 6, we subtract the remainder from 999999:
999999 - 3 = 999996
Therefore, the largest six-digit number divisible by 6 is 999996. This number is divisible by 6 because it is divisible by both 2 (since it's even) and 3 (since the sum of its digits, 9+9+9+9+9+6 = 51, is divisible by 3).
Largest Whole Number Divisible by 6
Conceptually, there is no "largest" whole number. The set of whole numbers is infinite. Therefore, there is no largest whole number divisible by 6. You can always add 6 to any number divisible by 6 to get an even larger number that is also divisible by 6.
