1337 and Level 4

If you can solve a level 3 puzzle, give this one a try. You will have to locate the best clues to use in the beginning and then what is the most logical clue to use next over and over, but I think you can do that!

Print the puzzles or type the solution in this excel file: 12 factors 1333-1341

Here is some information about the puzzle number, 1337:

  • 1337 is a composite number.
  • Prime factorization: 1337 = 7 × 191
  • 1337 has no exponents greater than 1 in its prime factorization, so √1337 cannot be simplified.
  • The exponents in the prime factorization are 1, and 1. Adding one to each exponent and multiplying we get (1 + 1)(1 + 1) = 2 × 2 = 4. Therefore 1337 has exactly 4 factors.
  • The factors of 1337 are outlined with their factor pairs in the graphic below.

1337 is the difference of two squares two ways:
99² – 92² = 1337
669² – 668² = 1337

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