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

- 1325 is a composite number.
- Prime factorization: 1325 = 5 × 5 × 53, which can be written 1325 = 5
**²**× 53 - The exponents in the prime factorization are 2 and 1. Adding one to each and multiplying we get (2 + 1)(1 + 1) = 3 × 2 = 6. Therefore 1325 has exactly 6 factors.
- Factors of 1325: 1, 5, 25, 53, 265, 1325
- Factor pairs: 1325 = 1 × 1325, 5 × 265, or 25 × 53
- Taking the factor pair with the largest square number factor, we get √1325 = (√25)(√53) = 5√53 ≈ 36.40055

1325 is the sum of two squares in three different ways:

29² + 22² = 1325

34² + 13² = 1325

35² + 10² = 1325

1325 is the hypotenuse of SEVEN Pythagorean triples:

115-1320-1325 which is **5** times (23-264-**265**)

357-1276-1325 calculated from 29² – 22², 2(29)(22), 29² + 22²

371-1272-1325 which is (7-24-**25**) times **53**

480-1235-1325 which is **5** times (96-247-**265**)

700-1125-1325 calculated from 2(35)(10), 35² – 10², 35² + 10²

795-1060-1325 which is (3-4-**5**) times **265**

884-987-1325 calculated from 2(34)(13), 34² – 13², 34² + 13²

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