Factors of 9960

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What are the factors of 9,960?

Answer

Factors of 9,960:
32 factors: 1, 2, 3, 4, 5 … 3320, 4980, 9960
all 32 factors

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 83, 120, 166, 249, 332, 415, 498, 664, 830, 996, 1245, 1660, 1992, 2490, 3320, 4980, 9960

32 factors · 9960 = 23 × 3 × 5 × 83 · composite

Underlined — prime: 2, 3, 5, 83 · 1 — neither prime nor composite · others — composite

Factor pairs of 9,960

  • 1 × 9960
  • 2 × 4980
  • 3 × 3320
  • 4 × 2490
  • 5 × 1992
  • 6 × 1660
  • 8 × 1245
  • 10 × 996

√9960 ≈ 99.80 — the last pair 83 × 120 sits here; past it pairs repeat.

all 16 pairs
  • 1 × 9960
  • 2 × 4980
  • 3 × 3320
  • 4 × 2490
  • 5 × 1992
  • 6 × 1660
  • 8 × 1245
  • 10 × 996
  • 12 × 830
  • 15 × 664
  • 20 × 498
  • 24 × 415
  • 30 × 332
  • 40 × 249
  • 60 × 166
  • 83 × 120

9960 = 23 × 3 × 5 × 83 → (3 + 1) × (1 + 1) × (1 + 1) × (1 + 1) = 32 factors: add 1 to each exponent and multiply.

Related Calculations

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Factors Table

NumberFactors
9,7801, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 163, 326, 489, 652, 815, 978, 1630, 1956, 2445, 3260, 4890, 9780
9,7951, 3, 5, 15, 653, 1959, 3265, 9795
9,8001, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 140, 175, 196, 200, 245, 280, 350, 392, 490, 700, 980, 1225, 1400, 1960, 2450, 4900, 9800
9,8101, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 109, 218, 327, 545, 654, 981, 1090, 1635, 1962, 3270, 4905, 9810
9,8151, 5, 13, 65, 151, 755, 1963, 9815
9,8201, 2, 4, 5, 10, 20, 491, 982, 1964, 2455, 4910, 9820
9,8251, 3, 5, 15, 25, 75, 131, 393, 655, 1965, 3275, 9825
9,8351, 5, 7, 35, 281, 1405, 1967, 9835
9,8501, 2, 5, 10, 25, 50, 197, 394, 985, 1970, 4925, 9850
9,8601, 2, 4, 5, 10, 17, 20, 29, 34, 58, 68, 85, 116, 145, 170, 290, 340, 493, 580, 986, 1972, 2465, 4930, 9860
9,8801, 2, 4, 5, 8, 10, 13, 19, 20, 26, 38, 40, 52, 65, 76, 95, 104, 130, 152, 190, 247, 260, 380, 494, 520, 760, 988, 1235, 1976, 2470, 4940, 9880
9,8901, 2, 5, 10, 23, 43, 46, 86, 115, 215, 230, 430, 989, 1978, 4945, 9890
9,9001, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 25, 30, 33, 36, 44, 45, 50, 55, 60, 66, 75, 90, 99, 100, 110, 132, 150, 165, 180, 198, 220, 225, 275, 300, 330, 396, 450, 495, 550, 660, 825, 900, 990, 1100, 1650, 1980, 2475, 3300, 4950, 9900
9,9501, 2, 5, 10, 25, 50, 199, 398, 995, 1990, 4975, 9950
9,9551, 5, 11, 55, 181, 905, 1991, 9955
9,9601, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 83, 120, 166, 249, 332, 415, 498, 664, 830, 996, 1245, 1660, 1992, 2490, 3320, 4980, 9960
9,9751, 3, 5, 7, 15, 19, 21, 25, 35, 57, 75, 95, 105, 133, 175, 285, 399, 475, 525, 665, 1425, 1995, 3325, 9975
9,9801, 2, 4, 5, 10, 20, 499, 998, 1996, 2495, 4990, 9980
9,9901, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 37, 45, 54, 74, 90, 111, 135, 185, 222, 270, 333, 370, 555, 666, 999, 1110, 1665, 1998, 3330, 4995, 9990
9,9991, 3, 9, 11, 33, 99, 101, 303, 909, 1111, 3333, 9999
10,0001, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 625, 1000, 1250, 2000, 2500, 5000, 10000
10,9501, 2, 3, 5, 6, 10, 15, 25, 30, 50, 73, 75, 146, 150, 219, 365, 438, 730, 1095, 1825, 2190, 3650, 5475, 10950
11,0001, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 88, 100, 110, 125, 200, 220, 250, 275, 440, 500, 550, 1000, 1100, 1375, 2200, 2750, 5500, 11000
12,0001, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 125, 150, 160, 200, 240, 250, 300, 375, 400, 480, 500, 600, 750, 800, 1000, 1200, 1500, 2000, 2400, 3000, 4000, 6000, 12000
13,0001, 2, 4, 5, 8, 10, 13, 20, 25, 26, 40, 50, 52, 65, 100, 104, 125, 130, 200, 250, 260, 325, 500, 520, 650, 1000, 1300, 1625, 2600, 3250, 6500, 13000
13,1251, 3, 5, 7, 15, 21, 25, 35, 75, 105, 125, 175, 375, 525, 625, 875, 1875, 2625, 4375, 13125
13,6001, 2, 4, 5, 8, 10, 16, 17, 20, 25, 32, 34, 40, 50, 68, 80, 85, 100, 136, 160, 170, 200, 272, 340, 400, 425, 544, 680, 800, 850, 1360, 1700, 2720, 3400, 6800, 13600
14,0001, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56, 70, 80, 100, 112, 125, 140, 175, 200, 250, 280, 350, 400, 500, 560, 700, 875, 1000, 1400, 1750, 2000, 2800, 3500, 7000, 14000
14,4001, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 32, 36, 40, 45, 48, 50, 60, 64, 72, 75, 80, 90, 96, 100, 120, 144, 150, 160, 180, 192, 200, 225, 240, 288, 300, 320, 360, 400, 450, 480, 576, 600, 720, 800, 900, 960, 1200, 1440, 1600, 1800, 2400, 2880, 3600, 4800, 7200, 14400
15,0001, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 625, 750, 1000, 1250, 1500, 1875, 2500, 3000, 3750, 5000, 7500, 15000

FAQ

What are the factors of 9,960?

Factors of 9,960: 32 factors: 1, 2, 3, 4, 5 … 3320, 4980, 9960

How many factors does 9,960 have?

Number 9,960 has 32 factors

How many factor pairs does 9,960 have?

Number 9,960 has 16 factor pairs

Is 9,960 a prime or composite number?

Composite: 9960 = 2³ × 3 × 5 × 83, so it has 32 factors — a prime has exactly two.

How many factors does 9,960 have excluding 1 and 9,960?

30 — all 32 factors except 1 and 9,960.

See Also