There are 36 numbers between 100 and 500 that are divisible by 11.
To better understand how we arrive at this conclusion, let's consider some key details.
- The smallest multiple of 11 greater than 100 is 110 (11 x 10).
- The largest multiple of 11 less than 500 is 495 (11 x 45).
To find the total count, we can use a simple formula:
(Last Multiple - First Multiple) / 11 + 1
Therefore, in our case:
(495 - 110) / 11 + 1 = 385 / 11 + 1 = 35 + 1 = 36
This calculation shows there are 36 integers between 100 and 500 divisible by 11.
As referenced, the exact count of integers between 100 and 500 that are multiples of 11 is indeed 36.
