Factors of 8000

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What are the Factors of 8,000?

Answer

Factors of 8,000:
28 factors: 1, 2, 4, 5, 8 … 2000, 4000, 8000
all 28 factors

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 800, 1000, 1600, 2000, 4000, 8000

28 factors · 8000 = 26 × 53 · composite

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

Factor pairs of 8,000

  • 1 × 8000
  • 2 × 4000
  • 4 × 2000
  • 5 × 1600
  • 8 × 1000
  • 10 × 800
  • 16 × 500
  • 20 × 400

√8000 ≈ 89.44 — the last pair 80 × 100 sits here; past it pairs repeat.

all 14 pairs
  • 1 × 8000
  • 2 × 4000
  • 4 × 2000
  • 5 × 1600
  • 8 × 1000
  • 10 × 800
  • 16 × 500
  • 20 × 400
  • 25 × 320
  • 32 × 250
  • 40 × 200
  • 50 × 160
  • 64 × 125
  • 80 × 100

8000 = 26 × 53 → (6 + 1) × (3 + 1) = 28 factors: add 1 to each exponent and multiply.

Related Calculations

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Factors Table

NumberFactors
7,8901, 2, 3, 5, 6, 10, 15, 30, 263, 526, 789, 1315, 1578, 2630, 3945, 7890
7,8951, 5, 1579, 7895
7,9001, 2, 4, 5, 10, 20, 25, 50, 79, 100, 158, 316, 395, 790, 1580, 1975, 3950, 7900
7,9101, 2, 5, 7, 10, 14, 35, 70, 113, 226, 565, 791, 1130, 1582, 3955, 7910
7,9151, 5, 1583, 7915
7,9201, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 48, 55, 60, 66, 72, 80, 88, 90, 99, 110, 120, 132, 144, 165, 176, 180, 198, 220, 240, 264, 330, 360, 396, 440, 495, 528, 660, 720, 792, 880, 990, 1320, 1584, 1980, 2640, 3960, 7920
7,9251, 5, 25, 317, 1585, 7925
7,9451, 5, 7, 35, 227, 1135, 1589, 7945
7,9601, 2, 4, 5, 8, 10, 20, 40, 199, 398, 796, 995, 1592, 1990, 3980, 7960
7,9651, 3, 5, 9, 15, 27, 45, 59, 135, 177, 295, 531, 885, 1593, 2655, 7965
7,9701, 2, 5, 10, 797, 1594, 3985, 7970
7,9751, 5, 11, 25, 29, 55, 145, 275, 319, 725, 1595, 7975
7,9801, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 19, 20, 21, 28, 30, 35, 38, 42, 57, 60, 70, 76, 84, 95, 105, 114, 133, 140, 190, 210, 228, 266, 285, 380, 399, 420, 532, 570, 665, 798, 1140, 1330, 1596, 1995, 2660, 3990, 7980
7,9851, 5, 1597, 7985
7,9901, 2, 5, 10, 17, 34, 47, 85, 94, 170, 235, 470, 799, 1598, 3995, 7990
8,0001, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 800, 1000, 1600, 2000, 4000, 8000
8,0201, 2, 4, 5, 10, 20, 401, 802, 1604, 2005, 4010, 8020
8,0251, 3, 5, 15, 25, 75, 107, 321, 535, 1605, 2675, 8025
8,0301, 2, 5, 10, 11, 22, 55, 73, 110, 146, 365, 730, 803, 1606, 4015, 8030
8,0401, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 67, 120, 134, 201, 268, 335, 402, 536, 670, 804, 1005, 1340, 1608, 2010, 2680, 4020, 8040
8,0701, 2, 3, 5, 6, 10, 15, 30, 269, 538, 807, 1345, 1614, 2690, 4035, 8070
8,0751, 5, 17, 19, 25, 85, 95, 323, 425, 475, 1615, 8075
8,0851, 3, 5, 7, 11, 15, 21, 33, 35, 49, 55, 77, 105, 147, 165, 231, 245, 385, 539, 735, 1155, 1617, 2695, 8085
8,1001, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 81, 90, 100, 108, 135, 150, 162, 180, 225, 270, 300, 324, 405, 450, 540, 675, 810, 900, 1350, 1620, 2025, 2700, 4050, 8100
8,1101, 2, 5, 10, 811, 1622, 4055, 8110
8,1151, 3, 5, 15, 541, 1623, 2705, 8115
8,1201, 2, 4, 5, 7, 8, 10, 14, 20, 28, 29, 35, 40, 56, 58, 70, 116, 140, 145, 203, 232, 280, 290, 406, 580, 812, 1015, 1160, 1624, 2030, 4060, 8120
8,1251, 5, 13, 25, 65, 125, 325, 625, 1625, 8125
8,1401, 2, 4, 5, 10, 11, 20, 22, 37, 44, 55, 74, 110, 148, 185, 220, 370, 407, 740, 814, 1628, 2035, 4070, 8140
8,1501, 2, 5, 10, 25, 50, 163, 326, 815, 1630, 4075, 8150

FAQ

What are the Factors of 8,000?

Factors of 8,000: 28 factors: 1, 2, 4, 5, 8 … 2000, 4000, 8000

How many factors does 8,000 have?

Number 8,000 has 28 factors

How many Factor Pairs does 8,000 have?

Number 8,000 has 14 factor pairs

Is 8,000 a prime or composite number?

Composite: 8000 = 2⁶ × 5³, so it has 28 factors — a prime has exactly two.

How many factors does 8,000 have excluding 1 and 8,000?

26 — all 28 factors except 1 and 8,000.

See Also