The largest 4-digit number divisible by 9 is 9999.
Finding the Largest 4-Digit Number Divisible by 9
As stated in the provided reference, the largest four-digit number, 9999, is indeed divisible by 9. Adding 4 to this number results in a 5-digit number (10003), confirming that 9999 is the largest possible four-digit number.
| Digit Count | Largest Number | Divisible by 9? |
|---|---|---|
| 4 | 9999 | Yes |
| 5 | 10003 (9999 + 4) | No |
Why is 9999 Divisible by 9?
A number is divisible by 9 if the sum of its digits is divisible by 9. In the case of 9999:
- 9 + 9 + 9 + 9 = 36
- 36 is divisible by 9 (36 / 9 = 4)
Therefore, 9999 is divisible by 9.
