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915 is the hypotenuse of four Pythagorean triples:
- 165-900-915 which is 15 times (11-60-61)
- 408-819-915 which is 3 times (136-273-305)
- 621-672-915 which is 3 times (207-224-305)
- 549-732-915 which is (3-4-5) times 183
Print the puzzles or type the solution on this excel file: 10-factors-914-922
Here’s a little more about the number 915:
915 is repdigit 555 in BASE 13 because 5(13²) + 5(13) + 5(1) = 5(183) = 915.
It is palindrome 393 in BASE 16 because 3(16²) + 9(16) +3(1) = 915.
And as 195 in BASE 26, it uses its base 10 digits in a different order. Note that 1(26²) + 9(26) + 5(1) = 915.
- 915 is a composite number.
- Prime factorization: 915 = 3 × 5 × 61
- The exponents in the prime factorization are 1, 1, and 1. Adding one to each and multiplying we get (1 + 1)(1 + 1)(1 + 1) = 2 × 2 × 2 = 8. Therefore 915 has exactly 8 factors.
- Factors of 915: 1, 3, 5, 15, 61, 183, 305, 915
- Factor pairs: 915 = 1 × 915, 3 × 305, 5 × 183, or 15 × 61
- 915 has no square factors that allow its square root to be simplified. √915 ≈ 30.2489669.
