Factors of 6000

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What are the Factors of 6,000?

Answer

Factors of 6,000:
40 factors: 1, 2, 3, 4, 5 … 2000, 3000, 6000
all 40 factors

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 125, 150, 200, 240, 250, 300, 375, 400, 500, 600, 750, 1000, 1200, 1500, 2000, 3000, 6000

40 factors · 6000 = 24 × 3 × 53 · composite

Underlined — prime: 2, 3, 5 · 1 — neither prime nor composite · others — composite

Factor pairs of 6,000

  • 1 × 6000
  • 2 × 3000
  • 3 × 2000
  • 4 × 1500
  • 5 × 1200
  • 6 × 1000
  • 8 × 750
  • 10 × 600

√6000 ≈ 77.46 — the last pair 75 × 80 sits here; past it pairs repeat.

all 20 pairs
  • 1 × 6000
  • 2 × 3000
  • 3 × 2000
  • 4 × 1500
  • 5 × 1200
  • 6 × 1000
  • 8 × 750
  • 10 × 600
  • 12 × 500
  • 15 × 400
  • 16 × 375
  • 20 × 300
  • 24 × 250
  • 25 × 240
  • 30 × 200
  • 40 × 150
  • 48 × 125
  • 50 × 120
  • 60 × 100
  • 75 × 80

6000 = 24 × 3 × 53 → (4 + 1) × (1 + 1) × (3 + 1) = 40 factors: add 1 to each exponent and multiply.

Related Calculations

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Factors Table

NumberFactors
5,8851, 5, 11, 55, 107, 535, 1177, 5885
5,8901, 2, 5, 10, 19, 31, 38, 62, 95, 155, 190, 310, 589, 1178, 2945, 5890
5,9001, 2, 4, 5, 10, 20, 25, 50, 59, 100, 118, 236, 295, 590, 1180, 1475, 2950, 5900
5,9101, 2, 3, 5, 6, 10, 15, 30, 197, 394, 591, 985, 1182, 1970, 2955, 5910
5,9201, 2, 4, 5, 8, 10, 16, 20, 32, 37, 40, 74, 80, 148, 160, 185, 296, 370, 592, 740, 1184, 1480, 2960, 5920
5,9301, 2, 5, 10, 593, 1186, 2965, 5930
5,9351, 5, 1187, 5935
5,9401, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 27, 30, 33, 36, 44, 45, 54, 55, 60, 66, 90, 99, 108, 110, 132, 135, 165, 180, 198, 220, 270, 297, 330, 396, 495, 540, 594, 660, 990, 1188, 1485, 1980, 2970, 5940
5,9451, 5, 29, 41, 145, 205, 1189, 5945
5,9601, 2, 4, 5, 8, 10, 20, 40, 149, 298, 596, 745, 1192, 1490, 2980, 5960
5,9651, 5, 1193, 5965
5,9701, 2, 3, 5, 6, 10, 15, 30, 199, 398, 597, 995, 1194, 1990, 2985, 5970
5,9801, 2, 4, 5, 10, 13, 20, 23, 26, 46, 52, 65, 92, 115, 130, 230, 260, 299, 460, 598, 1196, 1495, 2990, 5980
5,9901, 2, 5, 10, 599, 1198, 2995, 5990
5,9951, 5, 11, 55, 109, 545, 1199, 5995
6,0001, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 125, 150, 200, 240, 250, 300, 375, 400, 500, 600, 750, 1000, 1200, 1500, 2000, 3000, 6000
6,0301, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 67, 90, 134, 201, 335, 402, 603, 670, 1005, 1206, 2010, 3015, 6030
6,0401, 2, 4, 5, 8, 10, 20, 40, 151, 302, 604, 755, 1208, 1510, 3020, 6040
6,0501, 2, 5, 10, 11, 22, 25, 50, 55, 110, 121, 242, 275, 550, 605, 1210, 3025, 6050
6,0751, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 243, 405, 675, 1215, 2025, 6075
6,0801, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 64, 76, 80, 95, 152, 160, 190, 304, 320, 380, 608, 760, 1216, 1520, 3040, 6080
6,0901, 2, 3, 5, 6, 7, 10, 14, 15, 21, 29, 30, 35, 42, 58, 70, 87, 105, 145, 174, 203, 210, 290, 406, 435, 609, 870, 1015, 1218, 2030, 3045, 6090
6,1001, 2, 4, 5, 10, 20, 25, 50, 61, 100, 122, 244, 305, 610, 1220, 1525, 3050, 6100
6,1051, 3, 5, 11, 15, 33, 37, 55, 111, 165, 185, 407, 555, 1221, 2035, 6105
6,1101, 2, 5, 10, 13, 26, 47, 65, 94, 130, 235, 470, 611, 1222, 3055, 6110
6,1201, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 17, 18, 20, 24, 30, 34, 36, 40, 45, 51, 60, 68, 72, 85, 90, 102, 120, 136, 153, 170, 180, 204, 255, 306, 340, 360, 408, 510, 612, 680, 765, 1020, 1224, 1530, 2040, 3060, 6120
6,1251, 5, 7, 25, 35, 49, 125, 175, 245, 875, 1225, 6125
6,1351, 3, 5, 15, 409, 1227, 2045, 6135
6,1451, 5, 1229, 6145
6,1501, 2, 3, 5, 6, 10, 15, 25, 30, 41, 50, 75, 82, 123, 150, 205, 246, 410, 615, 1025, 1230, 2050, 3075, 6150

FAQ

What are the Factors of 6,000?

Factors of 6,000: 40 factors: 1, 2, 3, 4, 5 … 2000, 3000, 6000

How many factors does 6,000 have?

Number 6,000 has 40 factors

How many Factor Pairs does 6,000 have?

Number 6,000 has 20 factor pairs

Is 6,000 a prime or composite number?

Composite: 6000 = 2⁴ × 3 × 5³, so it has 40 factors — a prime has exactly two.

How many factors does 6,000 have excluding 1 and 6,000?

38 — all 40 factors except 1 and 6,000.

See Also