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How many numbers between 1 and 150 are divisible by 7?

Published in Divisibility 1 min read

There are 21 numbers between 1 and 150 that are divisible by 7.

To find this, we can divide 150 by 7, which gives us approximately 21.43. Since we are looking for whole numbers, we round down to 21. This means that the largest multiple of 7 less than or equal to 150 is 7 * 21 = 147.

Here's how to think about it:

  • Divisibility Rule: A number is divisible by 7 if the difference between twice the units digit and the remaining part of the number is divisible by 7.
  • Finding Multiples: Start with 7 and keep adding 7 to find the next multiples until you reach a number greater than 150.

Examples:

  • 7
  • 14
  • 21
  • ...
  • 147

In summary: By dividing 150 by 7 and rounding down, we can determine that there are 21 numbers between 1 and 150 that are divisible by 7.

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