No, 1000 is not divisible by 9.
To determine if a number is divisible by 9, we can use a simple rule: a number is divisible by 9 if the sum of its digits is divisible by 9.
- Sum of digits of 1000: 1 + 0 + 0 + 0 = 1
- Divisibility check: 1 is not divisible by 9.
Therefore, 1000 is not divisible by 9.
The provided reference also states that there are 111 numbers between 1 and 1000 that are divisible by 9. This implies that 1000 itself is not divisible by 9, as the sequence of multiples of 9 below 1000 would end at 999.
Here's a table summarizing the divisibility rule:
Number | Sum of Digits | Divisible by 9? |
---|---|---|
1000 | 1 | No |
999 | 27 | Yes |