There are exactly 81 numbers between 100 and 1000 that are divisible by 11.
The provided reference explicitly states that there are 81 such numbers. Let's break down why that might be:
- The smallest multiple of 11 greater than 100 is 110 (11 x 10).
- The largest multiple of 11 less than 1000 is 990 (11 x 90).
- To find how many multiples of 11 are between 110 and 990, we can calculate: (90 - 10) + 1 = 81.
Here's a table to show some of the multiples:
| Multiple of 11 | Value |
|---|---|
| 11 x 10 | 110 |
| 11 x 11 | 121 |
| ... | ... |
| 11 x 89 | 979 |
| 11 x 90 | 990 |
The reference also mentions that 81 is divisible by 1, 3, 9, 27, and 81. This fact is interesting but not directly relevant to the main question about how many numbers between 100 and 1000 are divisible by 11. The core information needed is that the count is 81.
