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How Many Numbers Between 1 and 300 are Divisible by 9?

Published in Number Theory 1 min read

There are 33 numbers between 1 and 300 that are divisible by 9.

Understanding the Calculation

To find the number of multiples of 9 between 1 and 300, we can use simple division.

  1. Find the largest multiple of 9 less than or equal to 300: 300 divided by 9 is approximately 33.33. Therefore, the largest multiple is 9 * 33 = 297.

  2. Count the multiples: This means there are 33 multiples of 9 between 1 and 300 (9, 18, 27... 297).

References Supporting the Answer

Several sources corroborate this finding:

  • A reference directly states that there are 33 numbers between 1 and 300 divisible by 9. (Reference: 33 numbers are between 1 and 300, which are divisible by 9.20-Jul-2020)
  • Other sources demonstrate the method of finding the answer by dividing 300 by 9 and using the integer part of the result. (References: Various Brainly and Quora links)

Practical Application

This type of calculation is useful in various scenarios, including:

  • Inventory Management: Determining the number of items in a warehouse organized in stacks of 9.
  • Scheduling: Calculating the number of 9-hour work shifts in a 300-hour period.
  • Mathematics: Solving problems involving divisibility and multiples.

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