Factors of 10000

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What are the Factors of 10,000?

Answer

Factors of 10,000:
25 factors: 1, 2, 4, 5, 8 … 2500, 5000, 10000
all 25 factors

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 625, 1000, 1250, 2000, 2500, 5000, 10000

25 factors · 10000 = 24 × 54 · composite

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

Factor pairs of 10,000

  • 1 × 10000
  • 2 × 5000
  • 4 × 2500
  • 5 × 2000
  • 8 × 1250
  • 10 × 1000
  • 16 × 625
  • 20 × 500

100 × 100 is a pair of one factor — that is why 10000 has an odd number of factors, 25.

all 13 pairs
  • 1 × 10000
  • 2 × 5000
  • 4 × 2500
  • 5 × 2000
  • 8 × 1250
  • 10 × 1000
  • 16 × 625
  • 20 × 500
  • 25 × 400
  • 40 × 250
  • 50 × 200
  • 80 × 125
  • 100 × 100

10000 = 24 × 54 → (4 + 1) × (4 + 1) = 25 factors: add 1 to each exponent and multiply.

Related Calculations

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Recalculate with different values ↑

Factors Table

NumberFactors
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
12,9191, 12919
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
15,0151, 3, 5, 7, 11, 13, 15, 21, 33, 35, 39, 55, 65, 77, 91, 105, 143, 165, 195, 231, 273, 385, 429, 455, 715, 1001, 1155, 1365, 2145, 3003, 5005, 15015
16,0001, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 128, 160, 200, 250, 320, 400, 500, 640, 800, 1000, 1600, 2000, 3200, 4000, 8000, 16000
16,6321, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 18, 21, 22, 24, 27, 28, 33, 36, 42, 44, 54, 56, 63, 66, 72, 77, 84, 88, 99, 108, 126, 132, 154, 168, 189, 198, 216, 231, 252, 264, 297, 308, 378, 396, 462, 504, 594, 616, 693, 756, 792, 924, 1188, 1386, 1512, 1848, 2079, 2376, 2772, 4158, 5544, 8316, 16632
17,0001, 2, 4, 5, 8, 10, 17, 20, 25, 34, 40, 50, 68, 85, 100, 125, 136, 170, 200, 250, 340, 425, 500, 680, 850, 1000, 1700, 2125, 3400, 4250, 8500, 17000

FAQ

What are the Factors of 10,000?

Factors of 10,000: 25 factors: 1, 2, 4, 5, 8 … 2500, 5000, 10000

How many factors does 10,000 have?

Number 10,000 has 25 factors

How many Factor Pairs does 10,000 have?

Number 10,000 has 13 factor pairs

Is 10,000 a prime or composite number?

Composite: 10000 = 2⁴ × 5⁴, so it has 25 factors — a prime has exactly two.

How many factors does 10,000 have excluding 1 and 10,000?

23 — all 25 factors except 1 and 10,000.

Why does 10,000 have an odd number of factors?

10,000 is a perfect square: in the pair 100 × 100 the factor 100 pairs with itself, so the 25 factors are 12 pairs plus 100.

See Also