The smallest six-digit number exactly divisible by 111 is 100011.
To find this, we need to determine the smallest six-digit number and then find the closest multiple of 111 that is greater than or equal to it.
- The smallest six-digit number is 100,000.
- Now, divide 100,000 by 111: 100,000 / 111 ≈ 900.90
- Since we need a whole number to multiply by 111, we round up to the next integer: 901.
- Multiply 111 by 901: 111 * 901 = 100,011
Therefore, 100,011 is the smallest six-digit number that is perfectly divisible by 111.
