Factors of 9600

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What are the Factors of 9,600?

Answer

Factors of 9,600:
48 factors: 1, 2, 3, 4, 5 … 3200, 4800, 9600
all 48 factors

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 128, 150, 160, 192, 200, 240, 300, 320, 384, 400, 480, 600, 640, 800, 960, 1200, 1600, 1920, 2400, 3200, 4800, 9600

48 factors · 9600 = 27 × 3 × 52 · composite

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

Factor pairs of 9,600

  • 1 × 9600
  • 2 × 4800
  • 3 × 3200
  • 4 × 2400
  • 5 × 1920
  • 6 × 1600
  • 8 × 1200
  • 10 × 960

√9600 ≈ 97.98 — the last pair 96 × 100 sits here; past it pairs repeat.

all 24 pairs
  • 1 × 9600
  • 2 × 4800
  • 3 × 3200
  • 4 × 2400
  • 5 × 1920
  • 6 × 1600
  • 8 × 1200
  • 10 × 960
  • 12 × 800
  • 15 × 640
  • 16 × 600
  • 20 × 480
  • 24 × 400
  • 25 × 384
  • 30 × 320
  • 32 × 300
  • 40 × 240
  • 48 × 200
  • 50 × 192
  • 60 × 160
  • 64 × 150
  • 75 × 128
  • 80 × 120
  • 96 × 100

9600 = 27 × 3 × 52 → (7 + 1) × (1 + 1) × (2 + 1) = 48 factors: add 1 to each exponent and multiply.

Related Calculations

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Factors Table

NumberFactors
9,4901, 2, 5, 10, 13, 26, 65, 73, 130, 146, 365, 730, 949, 1898, 4745, 9490
9,4951, 3, 5, 9, 15, 45, 211, 633, 1055, 1899, 3165, 9495
9,5001, 2, 4, 5, 10, 19, 20, 25, 38, 50, 76, 95, 100, 125, 190, 250, 380, 475, 500, 950, 1900, 2375, 4750, 9500
9,5041, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 32, 33, 36, 44, 48, 54, 66, 72, 88, 96, 99, 108, 132, 144, 176, 198, 216, 264, 288, 297, 352, 396, 432, 528, 594, 792, 864, 1056, 1188, 1584, 2376, 3168, 4752, 9504
9,5201, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 28, 34, 35, 40, 56, 68, 70, 80, 85, 112, 119, 136, 140, 170, 238, 272, 280, 340, 476, 560, 595, 680, 952, 1190, 1360, 1904, 2380, 4760, 9520
9,5251, 3, 5, 15, 25, 75, 127, 381, 635, 1905, 3175, 9525
9,5301, 2, 5, 10, 953, 1906, 4765, 9530
9,5351, 5, 1907, 9535
9,5401, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 53, 60, 90, 106, 159, 180, 212, 265, 318, 477, 530, 636, 795, 954, 1060, 1590, 1908, 2385, 3180, 4770, 9540
9,5451, 5, 23, 83, 115, 415, 1909, 9545
9,5501, 2, 5, 10, 25, 50, 191, 382, 955, 1910, 4775, 9550
9,5551, 3, 5, 7, 13, 15, 21, 35, 39, 49, 65, 91, 105, 147, 195, 245, 273, 455, 637, 735, 1365, 1911, 3185, 9555
9,5601, 2, 4, 5, 8, 10, 20, 40, 239, 478, 956, 1195, 1912, 2390, 4780, 9560
9,5851, 3, 5, 9, 15, 27, 45, 71, 135, 213, 355, 639, 1065, 1917, 3195, 9585
9,5951, 5, 19, 95, 101, 505, 1919, 9595
9,6001, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 128, 150, 160, 192, 200, 240, 300, 320, 384, 400, 480, 600, 640, 800, 960, 1200, 1600, 1920, 2400, 3200, 4800, 9600
9,6051, 5, 17, 85, 113, 565, 1921, 9605
9,6151, 3, 5, 15, 641, 1923, 3205, 9615
9,6251, 5, 7, 11, 25, 35, 55, 77, 125, 175, 275, 385, 875, 1375, 1925, 9625
9,6301, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 107, 214, 321, 535, 642, 963, 1070, 1605, 1926, 3210, 4815, 9630
9,6451, 3, 5, 15, 643, 1929, 3215, 9645
9,6551, 5, 1931, 9655
9,6751, 3, 5, 9, 15, 25, 43, 45, 75, 129, 215, 225, 387, 645, 1075, 1935, 3225, 9675
9,6901, 2, 3, 5, 6, 10, 15, 17, 19, 30, 34, 38, 51, 57, 85, 95, 102, 114, 170, 190, 255, 285, 323, 510, 570, 646, 969, 1615, 1938, 3230, 4845, 9690
9,7001, 2, 4, 5, 10, 20, 25, 50, 97, 100, 194, 388, 485, 970, 1940, 2425, 4850, 9700
9,7101, 2, 5, 10, 971, 1942, 4855, 9710
9,7151, 5, 29, 67, 145, 335, 1943, 9715
9,7201, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 81, 90, 108, 120, 135, 162, 180, 216, 243, 270, 324, 360, 405, 486, 540, 648, 810, 972, 1080, 1215, 1620, 1944, 2430, 3240, 4860, 9720
9,7351, 3, 5, 11, 15, 33, 55, 59, 165, 177, 295, 649, 885, 1947, 3245, 9735
9,7401, 2, 4, 5, 10, 20, 487, 974, 1948, 2435, 4870, 9740

FAQ

What are the Factors of 9,600?

Factors of 9,600: 48 factors: 1, 2, 3, 4, 5 … 3200, 4800, 9600

How many factors does 9,600 have?

Number 9,600 has 48 factors

How many Factor Pairs does 9,600 have?

Number 9,600 has 24 factor pairs

Is 9,600 a prime or composite number?

Composite: 9600 = 2⁷ × 3 × 5², so it has 48 factors — a prime has exactly two.

How many factors does 9,600 have excluding 1 and 9,600?

46 — all 48 factors except 1 and 9,600.

See Also