Factors of 3600

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What are the Factors of 3,600?

Answer

Factors of 3,600:
45 factors: 1, 2, 3, 4, 5 … 1200, 1800, 3600
all 45 factors

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 144, 150, 180, 200, 225, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1800, 3600

45 factors · 3600 = 24 × 32 × 52 · composite

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

Factor pairs of 3,600

  • 1 × 3600
  • 2 × 1800
  • 3 × 1200
  • 4 × 900
  • 5 × 720
  • 6 × 600
  • 8 × 450
  • 9 × 400

60 × 60 is a pair of one factor — that is why 3600 has an odd number of factors, 45.

all 23 pairs
  • 1 × 3600
  • 2 × 1800
  • 3 × 1200
  • 4 × 900
  • 5 × 720
  • 6 × 600
  • 8 × 450
  • 9 × 400
  • 10 × 360
  • 12 × 300
  • 15 × 240
  • 16 × 225
  • 18 × 200
  • 20 × 180
  • 24 × 150
  • 25 × 144
  • 30 × 120
  • 36 × 100
  • 40 × 90
  • 45 × 80
  • 48 × 75
  • 50 × 72
  • 60 × 60

3600 = 24 × 32 × 52 → (4 + 1) × (2 + 1) × (2 + 1) = 45 factors: add 1 to each exponent and multiply.

Related Calculations

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Factors Table

NumberFactors
3,4851, 5, 17, 41, 85, 205, 697, 3485
3,4901, 2, 5, 10, 349, 698, 1745, 3490
3,5001, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 125, 140, 175, 250, 350, 500, 700, 875, 1750, 3500
3,5101, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 27, 30, 39, 45, 54, 65, 78, 90, 117, 130, 135, 195, 234, 270, 351, 390, 585, 702, 1170, 1755, 3510
3,5151, 5, 19, 37, 95, 185, 703, 3515
3,5201, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 160, 176, 220, 320, 352, 440, 704, 880, 1760, 3520
3,5401, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 59, 60, 118, 177, 236, 295, 354, 590, 708, 885, 1180, 1770, 3540
3,5451, 5, 709, 3545
3,5501, 2, 5, 10, 25, 50, 71, 142, 355, 710, 1775, 3550
3,5601, 2, 4, 5, 8, 10, 20, 40, 89, 178, 356, 445, 712, 890, 1780, 3560
3,5651, 5, 23, 31, 115, 155, 713, 3565
3,5701, 2, 3, 5, 6, 7, 10, 14, 15, 17, 21, 30, 34, 35, 42, 51, 70, 85, 102, 105, 119, 170, 210, 238, 255, 357, 510, 595, 714, 1190, 1785, 3570
3,5751, 5, 11, 13, 25, 55, 65, 143, 275, 325, 715, 3575
3,5801, 2, 4, 5, 10, 20, 179, 358, 716, 895, 1790, 3580
3,5851, 3, 5, 15, 239, 717, 1195, 3585
3,6001, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 144, 150, 180, 200, 225, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1800, 3600
3,6201, 2, 4, 5, 10, 20, 181, 362, 724, 905, 1810, 3620
3,6301, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 121, 165, 242, 330, 363, 605, 726, 1210, 1815, 3630
3,6401, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 52, 56, 65, 70, 91, 104, 130, 140, 182, 260, 280, 364, 455, 520, 728, 910, 1820, 3640
3,6451, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 729, 1215, 3645
3,6501, 2, 5, 10, 25, 50, 73, 146, 365, 730, 1825, 3650
3,6551, 5, 17, 43, 85, 215, 731, 3655
3,6601, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 61, 122, 183, 244, 305, 366, 610, 732, 915, 1220, 1830, 3660
3,6751, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735, 1225, 3675
3,6801, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 80, 92, 115, 160, 184, 230, 368, 460, 736, 920, 1840, 3680
3,6901, 2, 3, 5, 6, 9, 10, 15, 18, 30, 41, 45, 82, 90, 123, 205, 246, 369, 410, 615, 738, 1230, 1845, 3690
3,7001, 2, 4, 5, 10, 20, 25, 37, 50, 74, 100, 148, 185, 370, 740, 925, 1850, 3700
3,7101, 2, 5, 7, 10, 14, 35, 53, 70, 106, 265, 371, 530, 742, 1855, 3710
3,7151, 5, 743, 3715
3,7201, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 31, 40, 60, 62, 93, 120, 124, 155, 186, 248, 310, 372, 465, 620, 744, 930, 1240, 1860, 3720

FAQ

What are the Factors of 3,600?

Factors of 3,600: 45 factors: 1, 2, 3, 4, 5 … 1200, 1800, 3600

How many factors does 3,600 have?

Number 3,600 has 45 factors

How many Factor Pairs does 3,600 have?

Number 3,600 has 23 factor pairs

Is 3,600 a prime or composite number?

Composite: 3600 = 2⁴ × 3² × 5², so it has 45 factors — a prime has exactly two.

How many factors does 3,600 have excluding 1 and 3,600?

43 — all 45 factors except 1 and 3,600.

Why does 3,600 have an odd number of factors?

3,600 is a perfect square: in the pair 60 × 60 the factor 60 pairs with itself, so the 45 factors are 22 pairs plus 60.

See Also