A Multiplication Based Logic Puzzle

890 and Level 4

890 is the sum of four consecutive prime numbers:

  • 211 + 223 + 227 + 229 = 890

890 is also the hypotenuse of four Pythagorean triples:

  • 168-874-890, which is 2 times (84-437-445)
  • 390-800-890, which is 10 times (39-80-89)
  • 406-792-890, which is 2 times (203-396-445)
  • 534-712-890, which is (3-4-5) times 178

Print the puzzles or type the solution on this excel file: 12 factors 886-896

  • 890 is a composite number.
  • Prime factorization: 890 = 2 × 5 × 89
  • The exponents in the prime factorization are 1, 1, and 1. Adding one to each and multiplying we get (1 + 1)(1 + 1)(1 + 1) = 2 × 2 × 2 = 8. Therefore 890 has exactly 8 factors.
  • Factors of 890: 1, 2, 5, 10, 89, 178, 445, 890
  • Factor pairs: 890 = 1 × 890, 2 × 445, 5 × 178, or 10 × 89
  • 890 has no square factors that allow its square root to be simplified. √890 ≈ 29.83286778.

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