There are 200 integers between 1 and 1000 that are divisible by 5.
Understanding Divisibility by 5
An integer is divisible by 5 if it ends in either 0 or 5. This means that every fifth integer is divisible by 5. To find the total number of integers divisible by 5 within a given range, a simple calculation suffices.
Calculation
We can determine the number of integers divisible by 5 between 1 and 1000 by dividing 1000 by 5:
1000 / 5 = 200
Therefore, there are 200 integers between 1 and 1000 that are divisible by 5. This is consistent across multiple sources, as shown in the provided references. For example, the reference from Study.com explicitly states: "We get that there are 200 integers between 1 and 1000 that are divisible by 5." The Vaia reference also confirms this by stating "There are 200 integers between 1 and 1000 that are divisible by 5 and 800 integers that are not divisible by 5."
Examples
- 5, 10, 15, 20, ..., 995, 1000 are all divisible by 5.
- Every number in this sequence is separated by 5.
This straightforward method accurately identifies all integers divisible by 5 within the specified range.
