1132 Mystery

There are ten simple clues in this Mystery Level puzzle. That’s all that is needed to come up with the unique solution. Can you find it?

Print the puzzles or type the solution in this excel file: 10-factors-1121-1133

Now I’ll share some facts about the number 1132:

  • 1132 is a composite number.
  • Prime factorization: 1132 = 2 × 2 × 283, which can be written 1132 = 2² × 283
  • The exponents in the prime factorization are 2 and 1. Adding one to each and multiplying we get (2 + 1)(1 + 1) = 3 × 2  = 6. Therefore 1132 has exactly 6 factors.
  • Factors of 1132: 1, 2, 4, 283, 566, 1132
  • Factor pairs: 1132 = 1 × 1132, 2 × 566, or 4 × 283
  • Taking the factor pair with the largest square number factor, we get √1132 = (√4)(√283) = 2√283 ≈ 33.64521

1132 is the sum of two consecutive prime numbers:
563 + 569 = 1132

1132 is palindrome 1A1 in BASE 29 (A is 10 base 10) because
29² + 10(29) + 1 = 1132

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