1293 and Level 5

Only factors from 1 to 12 are allowed in the factor pairs of the clues in these puzzles. Find a row or column with only one allowable common factor to start this puzzle. As you progress, factors for other rows or columns will be eliminated. Keep at it, and you will succeed!

Print the puzzles or type the solution in this excel file: 12 factors 1289-1299

Now I’ll share a few facts about the number 1293:

  • 1293 is a composite number.
  • Prime factorization: 1293 = 3 × 431
  • 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 1293 has exactly 4 factors.
  • Factors of 1293: 1, 3, 431, 1293
  • Factor pairs: 1293 = 1 × 1293 or 3 × 431
  • 1293 has no square factors that allow its square root to be simplified. √1293 ≈ 35.95831

1293 is palindrone 141 in BASE 34 because 34² + 4(34) + 1 = 1293

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