Factors of 1600

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What are the Factors of 1,600?

Answer

Factors of 1,600:
21 factors: 1, 2, 4, 5, 8 … 400, 800, 1600
all 21 factors

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160, 200, 320, 400, 800, 1600

21 factors · 1600 = 26 × 52 · composite

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

Factor pairs of 1,600

  • 1 × 1600
  • 2 × 800
  • 4 × 400
  • 5 × 320
  • 8 × 200
  • 10 × 160
  • 16 × 100
  • 20 × 80
  • 25 × 64
  • 32 × 50
  • 40 × 40

40 × 40 is a pair of one factor — that is why 1600 has an odd number of factors, 21.

1600 = 26 × 52 → (6 + 1) × (2 + 1) = 21 factors: add 1 to each exponent and multiply.

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Factors Table

NumberFactors
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
1,5351, 5, 307, 1535
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
1,5701, 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
1,5981, 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
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

FAQ

What are the Factors of 1,600?

Factors of 1,600: 21 factors: 1, 2, 4, 5, 8 … 400, 800, 1600

How many factors does 1,600 have?

Number 1,600 has 21 factors

How many Factor Pairs does 1,600 have?

Number 1,600 has 11 factor pairs

Is 1,600 a prime or composite number?

Composite: 1600 = 2⁶ × 5², so it has 21 factors — a prime has exactly two.

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

19: 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160, 200, 320, 400 and 800.

Why does 1,600 have an odd number of factors?

1,600 is a perfect square: in the pair 40 × 40 the factor 40 pairs with itself, so the 21 factors are 10 pairs plus 40.

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