1214 and Level 4

Even though I don’t tell you the order to consider the clues in today’s puzzle, you can still solve it. Just use logic and your knowledge of a standard 12 × 12 multiplication table to find its unique solution. Good luck!

Print the puzzles or type the solution in this excel file: 12 factors 1211-1220

Now I’ll share a few facts about the number 1214:

  • 1214 is a composite number.
  • Prime factorization: 1214 = 2 × 607
  • 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 1214 has exactly 4 factors.
  • Factors of 1214: 1, 2, 607, 1214
  • Factor pairs: 1214 = 1 × 1214 or 2 × 607
  • 1214 has no square factors that allow its square root to be simplified. √1214 ≈ 34.8425

1214 is the sum of six consecutive prime numbers:
191 + 193 + 197 + 199 + 211 + 223 = 1214

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