1319 Challenge Puzzle

 

There are nineteen clues in this challenge puzzle, including two 50’s, two 20’s, two 8’s, and two 12’s. Some of those duplicates might make it more difficult for you to find the one and only solution to the puzzle. I’m very curious about how you do with it!

Print the puzzles or type the solution in this excel file: 12 factors 1311-1319

Now I’ll share some facts about the number 1319:

  • 1319 is a prime number.
  • Prime factorization: 1319 is prime.
  • The exponent of prime number 1319 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 1319 has exactly 2 factors.
  • Factors of 1319: 1, 1319
  • Factor pairs: 1319 = 1 × 1319
  • 1319 has no square factors that allow its square root to be simplified. √1319 ≈ 36.31804

How do we know that 1319 is a prime number? If 1319 were not a prime number, then it would be divisible by at least one prime number less than or equal to √1319 ≈ 36.3. Since 1319 cannot be divided evenly by 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 or 31, we know that 1319 is a prime number.

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