Factors of 9000

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What are the Factors of 9,000?

Answer

Factors of 9,000:
48 factors: 1, 2, 3, 4, 5 … 3000, 4500, 9000
all 48 factors

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 125, 150, 180, 200, 225, 250, 300, 360, 375, 450, 500, 600, 750, 900, 1000, 1125, 1500, 1800, 2250, 3000, 4500, 9000

48 factors · 9000 = 23 × 32 × 53 · composite

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

Factor pairs of 9,000

  • 1 × 9000
  • 2 × 4500
  • 3 × 3000
  • 4 × 2250
  • 5 × 1800
  • 6 × 1500
  • 8 × 1125
  • 9 × 1000

√9000 ≈ 94.87 — the last pair 90 × 100 sits here; past it pairs repeat.

all 24 pairs
  • 1 × 9000
  • 2 × 4500
  • 3 × 3000
  • 4 × 2250
  • 5 × 1800
  • 6 × 1500
  • 8 × 1125
  • 9 × 1000
  • 10 × 900
  • 12 × 750
  • 15 × 600
  • 18 × 500
  • 20 × 450
  • 24 × 375
  • 25 × 360
  • 30 × 300
  • 36 × 250
  • 40 × 225
  • 45 × 200
  • 50 × 180
  • 60 × 150
  • 72 × 125
  • 75 × 120
  • 90 × 100

9000 = 23 × 32 × 53 → (3 + 1) × (2 + 1) × (3 + 1) = 48 factors: add 1 to each exponent and multiply.

Related Calculations

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Factors Table

NumberFactors
8,8701, 2, 5, 10, 887, 1774, 4435, 8870
8,8751, 5, 25, 71, 125, 355, 1775, 8875
8,8851, 5, 1777, 8885
8,8901, 2, 5, 7, 10, 14, 35, 70, 127, 254, 635, 889, 1270, 1778, 4445, 8890
8,8951, 3, 5, 15, 593, 1779, 2965, 8895
8,9001, 2, 4, 5, 10, 20, 25, 50, 89, 100, 178, 356, 445, 890, 1780, 2225, 4450, 8900
8,9151, 5, 1783, 8915
8,9251, 3, 5, 7, 15, 17, 21, 25, 35, 51, 75, 85, 105, 119, 175, 255, 357, 425, 525, 595, 1275, 1785, 2975, 8925
8,9401, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 149, 298, 447, 596, 745, 894, 1490, 1788, 2235, 2980, 4470, 8940
8,9601, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 256, 280, 320, 448, 560, 640, 896, 1120, 1280, 1792, 2240, 4480, 8960
8,9651, 5, 11, 55, 163, 815, 1793, 8965
8,9751, 5, 25, 359, 1795, 8975
8,9801, 2, 4, 5, 10, 20, 449, 898, 1796, 2245, 4490, 8980
8,9901, 2, 5, 10, 29, 31, 58, 62, 145, 155, 290, 310, 899, 1798, 4495, 8990
8,9951, 5, 7, 35, 257, 1285, 1799, 8995
9,0001, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 125, 150, 180, 200, 225, 250, 300, 360, 375, 450, 500, 600, 750, 900, 1000, 1125, 1500, 1800, 2250, 3000, 4500, 9000
9,0201, 2, 4, 5, 10, 11, 20, 22, 41, 44, 55, 82, 110, 164, 205, 220, 410, 451, 820, 902, 1804, 2255, 4510, 9020
9,0301, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 43, 70, 86, 105, 129, 210, 215, 258, 301, 430, 602, 645, 903, 1290, 1505, 1806, 3010, 4515, 9030
9,0451, 3, 5, 9, 15, 27, 45, 67, 135, 201, 335, 603, 1005, 1809, 3015, 9045
9,0551, 5, 1811, 9055
9,0651, 5, 7, 35, 37, 49, 185, 245, 259, 1295, 1813, 9065
9,0701, 2, 5, 10, 907, 1814, 4535, 9070
9,0951, 5, 17, 85, 107, 535, 1819, 9095
9,1001, 2, 4, 5, 7, 10, 13, 14, 20, 25, 26, 28, 35, 50, 52, 65, 70, 91, 100, 130, 140, 175, 182, 260, 325, 350, 364, 455, 650, 700, 910, 1300, 1820, 2275, 4550, 9100
9,1051, 3, 5, 15, 607, 1821, 3035, 9105
9,1201, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 19, 20, 24, 30, 32, 38, 40, 48, 57, 60, 76, 80, 95, 96, 114, 120, 152, 160, 190, 228, 240, 285, 304, 380, 456, 480, 570, 608, 760, 912, 1140, 1520, 1824, 2280, 3040, 4560, 9120
9,1251, 5, 25, 73, 125, 365, 1825, 9125
9,1301, 2, 5, 10, 11, 22, 55, 83, 110, 166, 415, 830, 913, 1826, 4565, 9130
9,1351, 3, 5, 7, 9, 15, 21, 29, 35, 45, 63, 87, 105, 145, 203, 261, 315, 435, 609, 1015, 1305, 1827, 3045, 9135
9,1451, 5, 31, 59, 155, 295, 1829, 9145

FAQ

What are the Factors of 9,000?

Factors of 9,000: 48 factors: 1, 2, 3, 4, 5 … 3000, 4500, 9000

How many factors does 9,000 have?

Number 9,000 has 48 factors

How many Factor Pairs does 9,000 have?

Number 9,000 has 24 factor pairs

Is 9,000 a prime or composite number?

Composite: 9000 = 2³ × 3² × 5³, so it has 48 factors — a prime has exactly two.

How many factors does 9,000 have excluding 1 and 9,000?

46 — all 48 factors except 1 and 9,000.

See Also