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How Many Even Numbers Are There From 1 to 1000?

Published in Mathematics 1 min read

There are 500 even numbers from 1 to 1000.

Understanding Even Numbers

An even number is any number that is divisible by 2 without leaving a remainder. In the sequence from 1 to 1000, every other number is even:

  • 2, 3, 4, 5, 6, 7, 8, 9, 10, ... , 998, 999, 1000.

Calculating Even Numbers

To find the number of even numbers in a given range, we can use a simple formula:

Number of even numbers = (Last even number - First even number) / 2 + 1

In this case:

  • Last even number = 1000
  • First even number = 2

Therefore:

  • Number of even numbers = (1000 - 2) / 2 + 1 = 500

Conclusion

There are 500 even numbers from 1 to 1000. This is because every other number in this sequence is divisible by 2.

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