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- 243 is a composite number.
- Prime factorization: 243 = 3 x 3 x 3 x 3 x 3, which can be written 243 = (3^5)
- The exponent in the prime factorization is 5. Adding one we get (5 + 1) = 6. Therefore 243 has 6 factors.
- Factors of 243: 1, 3, 9, 27, 81, 243
- Factor pairs: 243 = 1 x 243, 3 x 81, or 9 x 27
- Taking the factor pair with the largest square number factor, we get √243 = (√3)(√81) = 9√3 ≈ 15.588
This puzzle is for my sister, who is great at completing these Level 5 puzzles. Here is a black and white version for those who may prefer it:
Print the puzzles or type the factors on this excel file: 12 Factors 2014-09-22
Here’s a nice pattern
“Every 5th power ends in the last digit of the base.”
Can you see why? What about other powers? Other than base-ten? pic.twitter.com/6Wk5Vr0HNr
— Tamás Görbe (@TamasGorbe) January 1, 2023