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How many numbers are divisible by 3 from 300 to 500?

Published in Number Theory 1 min read

There are 67 numbers divisible by 3 from 300 to 500, inclusive.

Here's how to calculate that:

  • Find the first number divisible by 3: The first number in the range 300 to 500 that is divisible by 3 is 300. (300 / 3 = 100)

  • Find the last number divisible by 3: The last number in the range 300 to 500 that is divisible by 3 is 498. (498 / 3 = 166)

  • Calculate the total count: To find the total number of multiples of 3, we can use the following formula:

    (Last Multiple - First Multiple) / 3 + 1

    (498 - 300) / 3 + 1 = 198 / 3 + 1 = 66 + 1 = 67

Therefore, there are 67 numbers divisible by 3 between 300 and 500, inclusive.