A Multiplication Based Logic Puzzle

What is special about the number 893? It makes a pretty cool square with two 4’s, 7’s, and 9’s in it. Thank you Stetson.edu for that fun fact.

  • 893 is a composite number.
  • Prime factorization: 893 = 19 × 47
  • 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 893 has exactly 4 factors.
  • Factors of 893: 1, 19, 47, 893
  • Factor pairs: 893 = 1 × 893 or 19 × 47
  • 893 has no square factors that allow its square root to be simplified. √893 ≈ 29.8831

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