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How many numbers are divisible by 6 from 100 to 999?

Published in Number Theory 1 min read

There are 150 numbers divisible by 6 between 100 and 999.

According to the provided reference, we can determine this by first calculating the number of multiples of 6 within different ranges:

  • Multiples of 6 from 1 to 99: There are 99 / 6 = 16.5. Since we only count whole numbers, there are 16 multiples of 6 between 1 and 99.
  • Multiples of 6 from 1 to 999: There are 999 / 6 = 166.5. Therefore, there are 166 multiples of 6 between 1 and 999.
  • Multiples of 6 between 100 and 999: To find this, we subtract the number of multiples of 6 between 1 and 99 from the number of multiples of 6 between 1 and 999. So, 166 - 16 = 150.

Therefore, there are 150 numbers between 100 and 999 that are divisible by 6.

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