1137 and Level 2

There’s no reason to let this puzzle tie you up in knots. Solving it will only require you to do a little thinking to make all the factors fall into place. I’m sure you can do it!

Print the puzzles or type the solution in this excel file: 12 factors 1134-1147

Here is a little information about the number 1137:

  • 1137 is a composite number.
  • Prime factorization: 1137 = 3 × 379
  • The exponents in the prime factorization are 1 and 1. Adding one to each and multiplying we get (1 + 1)(1 + 1) = 2 × 2 = 4. Therefore 1137 has exactly 4 factors.
  • Factors of 1137: 1, 3, 379, 1137
  • Factor pairs: 1137 = 1 × 1137 or 3 × 379
  • 1137 has no square factors that allow its square root to be simplified. √1137 ≈ 33.71943

1137 is a palindrome in three different bases:
It’s 10001110001 in BASE 2 because 2¹⁰ + 2⁶ + 2⁵ + 2⁴ + 2⁰ = 1137,
696 in BASE 13 because 6(13²) + 9(13) + 6(1) = 1137, and
393 in BASE 18 because 3(18²) + 9(18) + 3(1) = 1137

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