Solution to Puzzle #172: Divisibility by First 13 Numbers

This was perhaps too simple a problem, to the point that very few responded 😦 Thanks to Abhinav Jain and Pratik Poddar for sending in the correct answers.

The answer is 360,360.

We are already told that the answer for the first 9 numbers is 2520. We also know that:

  • 2520 should  be divisible by 10 (since it is divisible by 2 and 5)
  • 2520 should also be divisible by 12 (since it is divisible by 3 and 4)
  • It should not be divisible by 11 and 13, both of which are prime numbers

The answer, therefore, is 2520 x 11 x 13 = 360,360

Hope you all enjoyed the puzzle!


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