Factors of 1560

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What are the Factors of 1,560?

Answer

Factors of 1,560:
32 factors: 1, 2, 3, 4, 5 … 520, 780, 1560
all 32 factors

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, 1560

32 factors · 1560 = 23 × 3 × 5 × 13 · composite

Underlined — prime: 2, 3, 5, 13 · 1 — neither prime nor composite · others — composite

Factor pairs of 1,560

  • 1 × 1560
  • 2 × 780
  • 3 × 520
  • 4 × 390
  • 5 × 312
  • 6 × 260
  • 8 × 195
  • 10 × 156

√1560 ≈ 39.50 — the last pair 39 × 40 sits here; past it pairs repeat.

all 16 pairs
  • 1 × 1560
  • 2 × 780
  • 3 × 520
  • 4 × 390
  • 5 × 312
  • 6 × 260
  • 8 × 195
  • 10 × 156
  • 12 × 130
  • 13 × 120
  • 15 × 104
  • 20 × 78
  • 24 × 65
  • 26 × 60
  • 30 × 52
  • 39 × 40

1560 = 23 × 3 × 5 × 13 → (3 + 1) × (1 + 1) × (1 + 1) × (1 + 1) = 32 factors: add 1 to each exponent and multiply.

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Factors Table

NumberFactors
1,4801, 2, 4, 5, 8, 10, 20, 37, 40, 74, 148, 185, 296, 370, 740, 1480
1,4851, 3, 5, 9, 11, 15, 27, 33, 45, 55, 99, 135, 165, 297, 495, 1485
1,4901, 2, 5, 10, 149, 298, 745, 1490
1,4951, 5, 13, 23, 65, 115, 299, 1495
1,4971, 3, 499, 1497
1,5001, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 750, 1500
1,5051, 5, 7, 35, 43, 215, 301, 1505
1,5101, 2, 5, 10, 151, 302, 755, 1510
1,5151, 3, 5, 15, 101, 303, 505, 1515
1,5201, 2, 4, 5, 8, 10, 16, 19, 20, 38, 40, 76, 80, 95, 152, 190, 304, 380, 760, 1520
1,5251, 5, 25, 61, 305, 1525
1,5301, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 34, 45, 51, 85, 90, 102, 153, 170, 255, 306, 510, 765, 1530
1,5401, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77, 110, 140, 154, 220, 308, 385, 770, 1540
1,5451, 3, 5, 15, 103, 309, 515, 1545
1,5501, 2, 5, 10, 25, 31, 50, 62, 155, 310, 775, 1550
1,5601, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, 1560
1,5651, 5, 313, 1565
1,5701, 2, 5, 10, 157, 314, 785, 1570
1,5751, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525, 1575
1,5801, 2, 4, 5, 10, 20, 79, 158, 316, 395, 790, 1580
1,5851, 5, 317, 1585
1,5901, 2, 3, 5, 6, 10, 15, 30, 53, 106, 159, 265, 318, 530, 795, 1590
1,5951, 5, 11, 29, 55, 145, 319, 1595
1,5981, 2, 17, 34, 47, 94, 799, 1598
1,6001, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160, 200, 320, 400, 800, 1600
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

FAQ

What are the Factors of 1,560?

Factors of 1,560: 32 factors: 1, 2, 3, 4, 5 … 520, 780, 1560

How many factors does 1,560 have?

Number 1,560 has 32 factors

How many Factor Pairs does 1,560 have?

Number 1,560 has 16 factor pairs

Is 1,560 a prime or composite number?

Composite: 1560 = 2³ × 3 × 5 × 13, so it has 32 factors — a prime has exactly two.

How many factors does 1,560 have excluding 1 and 1,560?

30 — all 32 factors except 1 and 1,560.

See Also