Finding Multiples of 5 in a Range
To solve this problem, we need to find the first and the last integers between 1 and 100 that are divisible by 5, and then determine how many such integers there are in total.
The smallest multiple of 5 between 1 and 100 is 5 itself, and the largest multiple of 5 is 100 (since 100 is a multiple of 5). To find the number of multiples of 5 from 5 to 100, we can use the following formula:
Number of multiples of 5 = (Last multiple of 5 - First multiple of 5) / 5 + 1
Substituting the appropriate values we get:
Number of multiples of 5 = (100 - 5) / 5 + 1
Number of multiples of 5 = 95 / 5 + 1
Number of multiples of 5 = 19 + 1
Number of multiples of 5 = 20
There are 20 integers between 1 and 100 that are divisible by 5. The correct answer is option C) 20.
