Factors of 1728

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What are the Factors of 1,728?

Answer

Factors of 1,728:
28 factors: 1, 2, 3, 4, 6 … 576, 864, 1728
all 28 factors

1, 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

28 factors · 1728 = 26 × 33 · composite

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

Factor pairs of 1,728

  • 1 × 1728
  • 2 × 864
  • 3 × 576
  • 4 × 432
  • 6 × 288
  • 8 × 216
  • 9 × 192
  • 12 × 144

√1728 ≈ 41.57 — the last pair 36 × 48 sits here; past it pairs repeat.

all 14 pairs
  • 1 × 1728
  • 2 × 864
  • 3 × 576
  • 4 × 432
  • 6 × 288
  • 8 × 216
  • 9 × 192
  • 12 × 144
  • 16 × 108
  • 18 × 96
  • 24 × 72
  • 27 × 64
  • 32 × 54
  • 36 × 48

1728 = 26 × 33 → (6 + 1) × (3 + 1) = 28 factors: add 1 to each exponent and multiply.

Related Calculations

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Recalculate with different values ↑

Factors Table

NumberFactors
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
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

FAQ

What are the Factors of 1,728?

Factors of 1,728: 28 factors: 1, 2, 3, 4, 6 … 576, 864, 1728

How many factors does 1,728 have?

Number 1,728 has 28 factors

How many Factor Pairs does 1,728 have?

Number 1,728 has 14 factor pairs

Is 1,728 a prime or composite number?

Composite: 1728 = 2⁶ × 3³, so it has 28 factors — a prime has exactly two.

How many factors does 1,728 have excluding 1 and 1,728?

26 — all 28 factors except 1 and 1,728.

See Also