Factors of 1680

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What are the Factors of 1,680?

Answer

Factors of 1,680:
40 factors: 1, 2, 3, 4, 5 … 560, 840, 1680
all 40 factors

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 48, 56, 60, 70, 80, 84, 105, 112, 120, 140, 168, 210, 240, 280, 336, 420, 560, 840, 1680

40 factors · 1680 = 24 × 3 × 5 × 7 · composite

Underlined — prime: 2, 3, 5, 7 · 1 — neither prime nor composite · others — composite

Factor pairs of 1,680

  • 1 × 1680
  • 2 × 840
  • 3 × 560
  • 4 × 420
  • 5 × 336
  • 6 × 280
  • 7 × 240
  • 8 × 210

√1680 ≈ 40.99 — the last pair 40 × 42 sits here; past it pairs repeat.

all 20 pairs
  • 1 × 1680
  • 2 × 840
  • 3 × 560
  • 4 × 420
  • 5 × 336
  • 6 × 280
  • 7 × 240
  • 8 × 210
  • 10 × 168
  • 12 × 140
  • 14 × 120
  • 15 × 112
  • 16 × 105
  • 20 × 84
  • 21 × 80
  • 24 × 70
  • 28 × 60
  • 30 × 56
  • 35 × 48
  • 40 × 42

1680 = 24 × 3 × 5 × 7 → (4 + 1) × (1 + 1) × (1 + 1) × (1 + 1) = 40 factors: add 1 to each exponent and multiply.

Related Calculations

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Factors Table

NumberFactors
1,6051, 3, 5, 15, 107, 321, 535, 1605
1,6101, 2, 5, 7, 10, 14, 23, 35, 46, 70, 115, 161, 230, 322, 805, 1610
1,6151, 5, 17, 19, 85, 95, 323, 1615
1,6201, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 270, 324, 405, 540, 810, 1620
1,6251, 5, 13, 25, 65, 125, 325, 1625
1,6301, 2, 5, 10, 163, 326, 815, 1630
1,6351, 3, 5, 15, 109, 327, 545, 1635
1,6401, 2, 4, 5, 8, 10, 20, 40, 41, 82, 164, 205, 328, 410, 820, 1640
1,6501, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 150, 165, 275, 330, 550, 825, 1650
1,6551, 5, 331, 1655
1,6601, 2, 4, 5, 10, 20, 83, 166, 332, 415, 830, 1660
1,6651, 3, 5, 9, 15, 37, 45, 111, 185, 333, 555, 1665
1,6661, 2, 7, 14, 17, 34, 49, 98, 119, 238, 833, 1666
1,6701, 2, 5, 10, 167, 334, 835, 1670
1,6751, 5, 25, 67, 335, 1675
1,6801, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 48, 56, 60, 70, 80, 84, 105, 112, 120, 140, 168, 210, 240, 280, 336, 420, 560, 840, 1680
1,6851, 5, 337, 1685
1,6901, 2, 5, 10, 13, 26, 65, 130, 169, 338, 845, 1690
1,7001, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 170, 340, 425, 850, 1700
1,7051, 5, 11, 31, 55, 155, 341, 1705
1,7101, 2, 3, 5, 6, 9, 10, 15, 18, 19, 30, 38, 45, 57, 90, 95, 114, 171, 190, 285, 342, 570, 855, 1710
1,7151, 5, 7, 35, 49, 245, 343, 1715
1,7201, 2, 4, 5, 8, 10, 20, 40, 43, 86, 172, 215, 344, 430, 860, 1720
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

FAQ

What are the Factors of 1,680?

Factors of 1,680: 40 factors: 1, 2, 3, 4, 5 … 560, 840, 1680

How many factors does 1,680 have?

Number 1,680 has 40 factors

How many Factor Pairs does 1,680 have?

Number 1,680 has 20 factor pairs

Is 1,680 a prime or composite number?

Composite: 1680 = 2⁴ × 3 × 5 × 7, so it has 40 factors — a prime has exactly two.

How many factors does 1,680 have excluding 1 and 1,680?

38 — all 40 factors except 1 and 1,680.

See Also