What is the least number of four digits exactly divisible by 83?

The least number of four digits exactly divisible by 83 is 1079.

Here's how to determine that:

1. Identify the smallest four-digit number: The smallest four-digit number is 1000.

2. Divide the smallest four-digit number by 83: 1000 / 83 ≈ 12.048

3. Round up to the next whole number: Since we need a number exactly divisible by 83, we round 12.048 up to 13.

4. Multiply the rounded number by 83: 13 * 83 = 1079

Therefore, 1079 is the smallest four-digit number that is exactly divisible by 83.