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How many integers between 1 and 1000 are divisible by 3?

Published in Number Theory 1 min read

There are 333 integers between 1 and 1000 that are divisible by 3.

To find this, we can use the following logic:

  • The first multiple of 3 within this range is 3 (3 x 1).
  • The last multiple of 3 within this range is 999 (3 x 333).
  • Therefore, there are 333 multiples of 3 between 1 and 1000.

This can also be found by dividing the upper limit (1000) by 3, resulting in 333.333. Since we're looking for whole numbers, we round down to 333.

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