The least four digit number divisible by 8 is 1000.
Here's how we can determine that:
- The smallest four-digit number: The smallest four-digit number is 1000.
- Divisibility rule for 8: A number is divisible by 8 if its last three digits are divisible by 8.
- Checking 1000: The last three digits of 1000 are 000, which is divisible by 8 (since 0 / 8 = 0).
- Conclusion: Therefore, 1000 is divisible by 8. Since it's the smallest four-digit number, it's also the smallest four-digit number divisible by 8.