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How Many Integers Between 1 and 1000 are Divisible by 5? How Many are Not?

Published in Number Theory 1 min read

There are 200 integers between 1 and 1000 that are divisible by 5, and 800 that are not.

Understanding Divisibility by 5

To find the number of integers divisible by 5 between 1 and 1000, we perform a simple calculation:

  1. Divide the upper limit by 5: 1000 / 5 = 200

This gives us the number of multiples of 5 within the range. Therefore, there are 200 integers divisible by 5.

Integers Not Divisible by 5

Since there are 1000 integers between 1 and 1000 (inclusive), and 200 of them are divisible by 5, the remaining integers are not divisible by 5. This is calculated as:

  1. Subtract the divisible numbers from the total: 1000 - 200 = 800

Thus, there are 800 integers between 1 and 1000 that are not divisible by 5.

Summary

  • Divisible by 5: 200
  • Not divisible by 5: 800

This information is supported by various online resources and mathematical principles. The referenced snippets confirm this straightforward calculation.

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