Factors of 1800

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What are the Factors of 1,800?

Answer

Factors of 1,800:
36 factors: 1, 2, 3, 4, 5 … 600, 900, 1800
all 36 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, 150, 180, 200, 225, 300, 360, 450, 600, 900, 1800

36 factors · 1800 = 23 × 32 × 52 · composite

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

Factor pairs of 1,800

  • 1 × 1800
  • 2 × 900
  • 3 × 600
  • 4 × 450
  • 5 × 360
  • 6 × 300
  • 8 × 225
  • 9 × 200

√1800 ≈ 42.43 — the last pair 40 × 45 sits here; past it pairs repeat.

all 18 pairs
  • 1 × 1800
  • 2 × 900
  • 3 × 600
  • 4 × 450
  • 5 × 360
  • 6 × 300
  • 8 × 225
  • 9 × 200
  • 10 × 180
  • 12 × 150
  • 15 × 120
  • 18 × 100
  • 20 × 90
  • 24 × 75
  • 25 × 72
  • 30 × 60
  • 36 × 50
  • 40 × 45

1800 = 23 × 32 × 52 → (3 + 1) × (2 + 1) × (2 + 1) = 36 factors: add 1 to each exponent and multiply.

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Factors Table

NumberFactors
1,7251, 3, 5, 15, 23, 25, 69, 75, 115, 345, 575, 1725
1,7281, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 144, 192, 216, 288, 432, 576, 864, 1728
1,7301, 2, 5, 10, 173, 346, 865, 1730
1,7351, 5, 347, 1735
1,7401, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 58, 60, 87, 116, 145, 174, 290, 348, 435, 580, 870, 1740
1,7501, 2, 5, 7, 10, 14, 25, 35, 50, 70, 125, 175, 250, 350, 875, 1750
1,7551, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585, 1755
1,7601, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 80, 88, 110, 160, 176, 220, 352, 440, 880, 1760
1,7651, 5, 353, 1765
1,7701, 2, 3, 5, 6, 10, 15, 30, 59, 118, 177, 295, 354, 590, 885, 1770
1,7751, 5, 25, 71, 355, 1775
1,7801, 2, 4, 5, 10, 20, 89, 178, 356, 445, 890, 1780
1,7851, 3, 5, 7, 15, 17, 21, 35, 51, 85, 105, 119, 255, 357, 595, 1785
1,7901, 2, 5, 10, 179, 358, 895, 1790
1,7951, 5, 359, 1795
1,8001, 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, 150, 180, 200, 225, 300, 360, 450, 600, 900, 1800
1,8051, 5, 19, 95, 361, 1805
1,8101, 2, 5, 10, 181, 362, 905, 1810
1,8151, 3, 5, 11, 15, 33, 55, 121, 165, 363, 605, 1815
1,8201, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 52, 65, 70, 91, 130, 140, 182, 260, 364, 455, 910, 1820
1,8251, 5, 25, 73, 365, 1825
1,8301, 2, 3, 5, 6, 10, 15, 30, 61, 122, 183, 305, 366, 610, 915, 1830
1,8351, 5, 367, 1835
1,8401, 2, 4, 5, 8, 10, 16, 20, 23, 40, 46, 80, 92, 115, 184, 230, 368, 460, 920, 1840
1,8451, 3, 5, 9, 15, 41, 45, 123, 205, 369, 615, 1845
1,8501, 2, 5, 10, 25, 37, 50, 74, 185, 370, 925, 1850
1,8551, 5, 7, 35, 53, 265, 371, 1855
1,8601, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 31, 60, 62, 93, 124, 155, 186, 310, 372, 465, 620, 930, 1860
1,8701, 2, 5, 10, 11, 17, 22, 34, 55, 85, 110, 170, 187, 374, 935, 1870
1,8721, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 48, 52, 72, 78, 104, 117, 144, 156, 208, 234, 312, 468, 624, 936, 1872

FAQ

What are the Factors of 1,800?

Factors of 1,800: 36 factors: 1, 2, 3, 4, 5 … 600, 900, 1800

How many factors does 1,800 have?

Number 1,800 has 36 factors

How many Factor Pairs does 1,800 have?

Number 1,800 has 18 factor pairs

Is 1,800 a prime or composite number?

Composite: 1800 = 2³ × 3² × 5², so it has 36 factors — a prime has exactly two.

How many factors does 1,800 have excluding 1 and 1,800?

34 — all 36 factors except 1 and 1,800.

See Also