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How many numbers between 9 and 49 are divisible by 6?

Published in Divisibility 1 min read

There are 7 numbers between 9 and 49 that are divisible by 6.

To find the numbers between 9 and 49 that are divisible by 6, we can identify the smallest multiple of 6 that is greater than 9 and the largest multiple of 6 that is less than 49.

  • The smallest multiple of 6 greater than 9 is 12 (6 * 2 = 12).
  • The largest multiple of 6 less than 49 is 48 (6 * 8 = 48).

So, we are looking for multiples of 6 between 12 (6 2) and 48 (6 8). This means we are counting the integers from 2 to 8, inclusive. The multiples are:

  • 6 * 2 = 12
  • 6 * 3 = 18
  • 6 * 4 = 24
  • 6 * 5 = 30
  • 6 * 6 = 36
  • 6 * 7 = 42
  • 6 * 8 = 48

Thus, the numbers are 12, 18, 24, 30, 36, 42, and 48. There are 7 such numbers.

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