1317 Candy Cane

 

Candy canes are a sweet tradition every Christmas. This mystery level puzzle won’t be easy, but it can be a sweet way to remember all the multiplication and division facts needed to solve it.

Print the puzzles or type the solution in this excel file: 12 factors 1311-1319

Now I’ll write a few facts about the number 1317:

  • 1317 is a composite number.
  • Prime factorization: 1317 = 3 × 439
  • 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 1317 has exactly 4 factors.
  • Factors of 1317: 1, 3, 439, 1317
  • Factor pairs: 1317 = 1 × 1317 or 3 × 439
  • 1317 has no square factors that allow its square root to be simplified. √1317 ≈ 36.29049

1317 is a palindrome in several bases:
It’s 10100100101 in BASE 2,
919 in BASE 12,
525 in BASE 16, and
1J1 in BASE 28,

 

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