1324 Gingerbread Man

 

The Gingerbread man can be tricky so be careful while solving this puzzle. He has fooled and run away from many different people and animals. The mystery is can YOU outfox this one?

Print the puzzles or type the solution in this excel file:10-factors-1321-1332

The factoring information for the number 1324 is far less tricky than you might imagine:

  • 1324 is a composite number.
  • Prime factorization: 1324 = 2 × 2 × 331, which can be written 1324 = 2² × 331
  • 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 1324 has exactly 6 factors.
  • Factors of 1324: 1, 2, 4, 331, 662, 1324
  • Factor pairs: 1324 = 1 × 1324, 2 × 662, or 4 × 331
  • Taking the factor pair with the largest square number factor, we get √1324 = (√4)(√331) = 2√331 ≈ 36.38681

1324 is palindrome 1M1 in BASE 27 (M is 22 base 10) because
27² + 22(27) + 1 = 1324

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