Factors of 2000

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What are the Factors of 2,000?

Answer

Factors of 2,000:
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 1000, 2000

20 factors · 2000 = 24 × 53 · composite

Underlined — prime: 2, 5 · 1 — neither prime nor composite · others — composite

Factor pairs of 2,000

  • 1 × 2000
  • 2 × 1000
  • 4 × 500
  • 5 × 400
  • 8 × 250
  • 10 × 200
  • 16 × 125
  • 20 × 100
  • 25 × 80
  • 40 × 50

√2000 ≈ 44.72 — the last pair 40 × 50 sits here; past it pairs repeat.

2000 = 24 × 53 → (4 + 1) × (3 + 1) = 20 factors: add 1 to each exponent and multiply.

See Also

Factors Table

NumberFactors
1,9261, 2, 3, 6, 9, 18, 107, 214, 321, 642, 963, 1926
1,9301, 2, 5, 10, 193, 386, 965, 1930
1,9351, 3, 5, 9, 15, 43, 45, 129, 215, 387, 645, 1935
1,9401, 2, 4, 5, 10, 20, 97, 194, 388, 485, 970, 1940
1,9451, 5, 389, 1945
1,9501, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 130, 150, 195, 325, 390, 650, 975, 1950
1,9551, 5, 17, 23, 85, 115, 391, 1955
1,9601, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 49, 56, 70, 98, 140, 196, 245, 280, 392, 490, 980, 1960
1,9651, 3, 5, 15, 131, 393, 655, 1965
1,9701, 2, 5, 10, 197, 394, 985, 1970
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

FAQ

What are the Factors of 2,000?

Factors of 2,000: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 1000, 2000

How many factors does 2,000 have?

Number 2,000 has 20 factors

How many Factor Pairs does 2,000 have?

Number 2,000 has 10 factor pairs

Is 2,000 a prime or composite number?

Composite: 2000 = 2⁴ × 5³, so it has 20 factors — a prime has exactly two.

How many factors does 2,000 have excluding 1 and 2,000?

18: 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500 and 1000.