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How Many Numbers Between 100 and 1000 Are Divisible by 3?

Published in Divisibility Calculation 1 min read

There are 300 numbers between 100 and 1000 that are divisible by 3.

To arrive at this answer, we can utilize the information given in the reference.

The reference states:

  • If you divide 100 by 3, you get 33 with a remainder of 1, meaning that there are 33 integers less than 100 that are evenly divisible by 3.
  • If you divide 1000 by 3, you get 333 with a remainder of 1, meaning that there are 333 integers less than 1000 that are evenly divisible by 3.

To find the numbers between 100 and 1000 divisible by 3, we need to subtract the number of integers divisible by 3 that are less than 100 from the number of integers divisible by 3 that are less than 1000.

Here's the calculation:

Description Value
Integers less than 1000 divisible by 3 333
Integers less than 100 divisible by 3 33
Integers between 100 and 1000 divisible by 3 333 - 33 = 300

Therefore, there are 300 numbers between 100 and 1000 that are divisible by 3.

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