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How many numbers between 200 and 600 are divisible by 60?

Published in Mathematics 1 min read

There are 6 numbers between 200 and 600 that are divisible by 60.

Let's break down how to find that answer:

  • Identify the range: We need to find numbers divisible by 60 within the range of 200 to 600 (exclusive, meaning not including 200 or 600).

  • Find the first multiple of 60 greater than 200:

    • 60 x 3 = 180 (less than 200)
    • 60 x 4 = 240 (greater than 200)
    • So, 240 is the first number in our range divisible by 60.
  • Find the last multiple of 60 less than 600:

    • 60 x 10 = 600 (not less than 600)
    • 60 x 9 = 540 (less than 600)
    • So, 540 is the last number in our range divisible by 60.
  • List the multiples of 60 within the range: 240, 300, 360, 420, 480, 540

  • Count the numbers: There are 6 numbers in the list.

Therefore, there are 6 numbers between 200 and 600 that are divisible by 60.

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