How many numbers between 100 and 200 are divisible by 3?

There are exactly 33 numbers between 100 and 200 that are divisible by 3.

To determine the number of integers between 100 and 200 that are divisible by 3, we need to find the first and last multiples of 3 within that range.

• The first multiple of 3 greater than 100 is 102 (3 * 34).
• The last multiple of 3 less than 200 is 198 (3 * 66).

We can then use the formula provided in the reference by Avis: (Last multiple - First multiple) / 3 + 1

According to Avis, (198 - 102) / 3 + 1 = 33.

Here's how the calculation breaks down:

1. 198 - 102 = 96
2. 96 / 3 = 32
3. 32 + 1 = 33

Therefore, there are 33 numbers between 100 and 200 that are divisible by 3.