Factors of 4000

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What are the Factors of 4,000?

Answer

Factors of 4,000:
24 factors: 1, 2, 4, 5, 8 … 1000, 2000, 4000
all 24 factors

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000, 4000

24 factors · 4000 = 25 × 53 · composite

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

Factor pairs of 4,000

  • 1 × 4000
  • 2 × 2000
  • 4 × 1000
  • 5 × 800
  • 8 × 500
  • 10 × 400
  • 16 × 250
  • 20 × 200
  • 25 × 160
  • 32 × 125
  • 40 × 100
  • 50 × 80

√4000 ≈ 63.25 — the last pair 50 × 80 sits here; past it pairs repeat.

4000 = 25 × 53 → (5 + 1) × (3 + 1) = 24 factors: add 1 to each exponent and multiply.

See Also

Factors Table

NumberFactors
3,9001, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 130, 150, 156, 195, 260, 300, 325, 390, 650, 780, 975, 1300, 1950, 3900
3,9051, 5, 11, 55, 71, 355, 781, 3905
3,9151, 3, 5, 9, 15, 27, 29, 45, 87, 135, 145, 261, 435, 783, 1305, 3915
3,9201, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 49, 56, 70, 80, 98, 112, 140, 196, 245, 280, 392, 490, 560, 784, 980, 1960, 3920
3,9251, 5, 25, 157, 785, 3925
3,9301, 2, 3, 5, 6, 10, 15, 30, 131, 262, 393, 655, 786, 1310, 1965, 3930
3,9351, 5, 787, 3935
3,9401, 2, 4, 5, 10, 20, 197, 394, 788, 985, 1970, 3940
3,9451, 3, 5, 15, 263, 789, 1315, 3945
3,9501, 2, 5, 10, 25, 50, 79, 158, 395, 790, 1975, 3950
3,9601, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980, 3960
3,9691, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 441, 567, 1323, 3969
3,9701, 2, 5, 10, 397, 794, 1985, 3970
3,9851, 5, 797, 3985
3,9901, 2, 3, 5, 6, 7, 10, 14, 15, 19, 21, 30, 35, 38, 42, 57, 70, 95, 105, 114, 133, 190, 210, 266, 285, 399, 570, 665, 798, 1330, 1995, 3990
4,0001, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000, 4000
4,0201, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 67, 134, 201, 268, 335, 402, 670, 804, 1005, 1340, 2010, 4020
4,0251, 5, 7, 23, 25, 35, 115, 161, 175, 575, 805, 4025
4,0351, 3, 5, 15, 269, 807, 1345, 4035
4,0401, 2, 4, 5, 8, 10, 20, 40, 101, 202, 404, 505, 808, 1010, 2020, 4040
4,0451, 5, 809, 4045
4,0501, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 81, 90, 135, 150, 162, 225, 270, 405, 450, 675, 810, 1350, 2025, 4050
4,0601, 2, 4, 5, 7, 10, 14, 20, 28, 29, 35, 58, 70, 116, 140, 145, 203, 290, 406, 580, 812, 1015, 2030, 4060
4,0701, 2, 5, 10, 11, 22, 37, 55, 74, 110, 185, 370, 407, 814, 2035, 4070
4,0751, 5, 25, 163, 815, 4075
4,0801, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 34, 40, 48, 51, 60, 68, 80, 85, 102, 120, 136, 170, 204, 240, 255, 272, 340, 408, 510, 680, 816, 1020, 1360, 2040, 4080
4,0901, 2, 5, 10, 409, 818, 2045, 4090
4,0951, 3, 5, 7, 9, 13, 15, 21, 35, 39, 45, 63, 65, 91, 105, 117, 195, 273, 315, 455, 585, 819, 1365, 4095
4,1001, 2, 4, 5, 10, 20, 25, 41, 50, 82, 100, 164, 205, 410, 820, 1025, 2050, 4100
4,1051, 5, 821, 4105

FAQ

What are the Factors of 4,000?

Factors of 4,000: 24 factors: 1, 2, 4, 5, 8 … 1000, 2000, 4000

How many factors does 4,000 have?

Number 4,000 has 24 factors

How many Factor Pairs does 4,000 have?

Number 4,000 has 12 factor pairs

Is 4,000 a prime or composite number?

Composite: 4000 = 2⁵ × 5³, so it has 24 factors — a prime has exactly two.

How many factors does 4,000 have excluding 1 and 4,000?

22 — all 24 factors except 1 and 4,000.