The total number of integers between 100 and 200 that are divisible by 3 is 33.
Here's how we can determine that:
According to the provided reference, we can calculate the number of integers divisible by 3 within a range by dividing the upper and lower bounds by 3 and then subtracting the results.
- Divide 200 by 3: 200 / 3 = 66 with a remainder of 2. This means there are 66 multiples of 3 from 1 to 200.
- Divide 100 by 3: 100 / 3 = 33 with a remainder of 1. This means there are 33 multiples of 3 from 1 to 100.
- Subtract the second result from the first: 66 - 33 = 33. This gives us the number of multiples of 3 between 100 and 200.
Therefore, there are 33 integers between 100 and 200 that are divisible by 3.
