Factors of 2025

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What are the Factors of 2,025?

Answer

Factors of 2,025:
1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675, 2025

15 factors · 2025 = 34 × 52 · composite

Underlined — prime: 3, 5 · 1 — neither prime nor composite · others — composite

Factor pairs of 2,025

  • 1 × 2025
  • 3 × 675
  • 5 × 405
  • 9 × 225
  • 15 × 135
  • 25 × 81
  • 27 × 75
  • 45 × 45

45 × 45 is a pair of one factor — that is why 2025 has an odd number of factors, 15.

2025 = 34 × 52 → (4 + 1) × (2 + 1) = 15 factors: add 1 to each exponent and multiply.

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Factors Table

NumberFactors
1,9751, 5, 25, 79, 395, 1975
1,9801, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 30, 33, 36, 44, 45, 55, 60, 66, 90, 99, 110, 132, 165, 180, 198, 220, 330, 396, 495, 660, 990, 1980
1,9851, 5, 397, 1985
1,9901, 2, 5, 10, 199, 398, 995, 1990
1,9951, 3, 5, 7, 15, 19, 21, 35, 57, 95, 105, 133, 285, 399, 665, 1995
2,0001, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 1000, 2000
2,0051, 5, 401, 2005
2,0101, 2, 3, 5, 6, 10, 15, 30, 67, 134, 201, 335, 402, 670, 1005, 2010
2,0151, 5, 13, 31, 65, 155, 403, 2015
2,0161, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 72, 84, 96, 112, 126, 144, 168, 224, 252, 288, 336, 504, 672, 1008, 2016
2,0201, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010, 2020
2,0211, 43, 47, 2021
2,0221, 2, 3, 6, 337, 674, 1011, 2022
2,0231, 7, 17, 119, 289, 2023
2,0241, 2, 4, 8, 11, 22, 23, 44, 46, 88, 92, 184, 253, 506, 1012, 2024
2,0251, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675, 2025
2,0261, 2, 1013, 2026
2,0271, 2027
2,0281, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 169, 338, 507, 676, 1014, 2028
2,0291, 2029
2,0301, 2, 5, 7, 10, 14, 29, 35, 58, 70, 145, 203, 290, 406, 1015, 2030
2,0311, 3, 677, 2031
2,0321, 2, 4, 8, 16, 127, 254, 508, 1016, 2032
2,0331, 19, 107, 2033
2,0341, 2, 3, 6, 9, 18, 113, 226, 339, 678, 1017, 2034
2,0351, 5, 11, 37, 55, 185, 407, 2035
2,0361, 2, 4, 509, 1018, 2036
2,0381, 2, 1019, 2038
2,0391, 2039
2,0401, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 30, 34, 40, 51, 60, 68, 85, 102, 120, 136, 170, 204, 255, 340, 408, 510, 680, 1020, 2040

FAQ

What are the Factors of 2,025?

Factors of 2,025: 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675, 2025

How many factors does 2,025 have?

Number 2,025 has 15 factors

How many Factor Pairs does 2,025 have?

Number 2,025 has 8 factor pairs

Is 2,025 a prime or composite number?

Composite: 2025 = 3⁴ × 5², so it has 15 factors — a prime has exactly two.

How many factors does 2,025 have excluding 1 and 2,025?

13: 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405 and 675.

Why does 2,025 have an odd number of factors?

2,025 is a perfect square: in the pair 45 × 45 the factor 45 pairs with itself, so the 15 factors are 7 pairs plus 45.

See Also