There are 333 integers between 1 and 1000 that are divisible by 3.
To find this, we can use the following logic:
- The first multiple of 3 within this range is 3 (3 x 1).
- The last multiple of 3 within this range is 999 (3 x 333).
- Therefore, there are 333 multiples of 3 between 1 and 1000.
This can also be found by dividing the upper limit (1000) by 3, resulting in 333.333. Since we're looking for whole numbers, we round down to 333.