1318 Another Candy Cane

 

Candy canes are rarely alone. They almost always have a twin close-by. Nevertheless, this mystery-level candy cane puzzle only looks similar to the previous one. You will have to consider completely different factors to solve it.

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

Here are a few facts about the number 1318:

  • 1318 is a composite number.
  • Prime factorization: 1318 = 2 × 659
  • 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 1318 has exactly 4 factors.
  • Factors of 1318: 1, 2, 659, 1318
  • Factor pairs: 1318 = 1 × 1318 or 2 × 659
  • 1318 has no square factors that allow its square root to be simplified. √1318 ≈ 36.30427

1318 is palindrome 414 in BASE 18