Many people fly home or away from home for the holidays. Here’s a puzzle to occupy some of your time while you’re in flight.

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

Now I’ll write a little bit about the number 1329:

• 1329 is a composite number.
• Prime factorization: 1329 = 3 × 443
• 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 1329 has exactly 4 factors.
• Factors of 1329: 1, 3, 443, 1329
• Factor pairs: 1329 = 1 × 1329 or 3 × 443
• 1329 has no square factors that allow its square root to be simplified. √1329 ≈ 36.45545

 

1329 is divisible by 3 because it is made with three consecutive numbers (1, 2, 3) and 9, a number divisible by 3.

1329 looks interesting in some other bases:
It’s 929 in BASE 12,
369 in BASE 20
234 in BASE 25