The least six-digit number exactly divisible by 83 is 100015.
To find the least six-digit number divisible by 83, we must first understand what constitutes a six-digit number. The smallest six-digit number is 100,000. We then need to determine the first multiple of 83 that is equal to or greater than 100,000.
Here's how we can approach the problem:
- Identify the smallest six-digit number: The smallest six-digit number is 100,000.
- Divide by the divisor: We divide 100,000 by 83 to see how many times 83 goes into 100,000:
- 100,000 ÷ 83 ≈ 1204.819
- Round up: Since we need the least number that is divisible by 83, we round 1204.819 up to the next whole number, which is 1205.
- Multiply: Now, we multiply 1205 by 83 to find the desired number:
- 1205 x 83 = 100015
Therefore, the least six-digit number exactly divisible by 83 is 100015. This aligns with the provided reference: "Final answer: Therefore, the least 6-digit number exactly divisible by 83 is 100015."
