Factors of 8400

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What are the Factors of 8,400?

Answer

Factors of 8,400:
60 factors: 1, 2, 3, 4, 5 … 2800, 4200, 8400
all 60 factors

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 25, 28, 30, 35, 40, 42, 48, 50, 56, 60, 70, 75, 80, 84, 100, 105, 112, 120, 140, 150, 168, 175, 200, 210, 240, 280, 300, 336, 350, 400, 420, 525, 560, 600, 700, 840, 1050, 1200, 1400, 1680, 2100, 2800, 4200, 8400

60 factors · 8400 = 24 × 3 × 52 × 7 · composite

Underlined — prime: 2, 3, 5, 7 · 1 — neither prime nor composite · others — composite

Factor pairs of 8,400

  • 1 × 8400
  • 2 × 4200
  • 3 × 2800
  • 4 × 2100
  • 5 × 1680
  • 6 × 1400
  • 7 × 1200
  • 8 × 1050

√8400 ≈ 91.65 — the last pair 84 × 100 sits here; past it pairs repeat.

all 30 pairs
  • 1 × 8400
  • 2 × 4200
  • 3 × 2800
  • 4 × 2100
  • 5 × 1680
  • 6 × 1400
  • 7 × 1200
  • 8 × 1050
  • 10 × 840
  • 12 × 700
  • 14 × 600
  • 15 × 560
  • 16 × 525
  • 20 × 420
  • 21 × 400
  • 24 × 350
  • 25 × 336
  • 28 × 300
  • 30 × 280
  • 35 × 240
  • 40 × 210
  • 42 × 200
  • 48 × 175
  • 50 × 168
  • 56 × 150
  • 60 × 140
  • 70 × 120
  • 75 × 112
  • 80 × 105
  • 84 × 100

8400 = 24 × 3 × 52 × 7 → (4 + 1) × (1 + 1) × (2 + 1) × (1 + 1) = 60 factors: add 1 to each exponent and multiply.

Related Calculations

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Factors Table

NumberFactors
8,1851, 5, 1637, 8185
8,1901, 2, 3, 5, 6, 7, 9, 10, 13, 14, 15, 18, 21, 26, 30, 35, 39, 42, 45, 63, 65, 70, 78, 90, 91, 105, 117, 126, 130, 182, 195, 210, 234, 273, 315, 390, 455, 546, 585, 630, 819, 910, 1170, 1365, 1638, 2730, 4095, 8190
8,2001, 2, 4, 5, 8, 10, 20, 25, 40, 41, 50, 82, 100, 164, 200, 205, 328, 410, 820, 1025, 1640, 2050, 4100, 8200
8,2801, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 23, 24, 30, 36, 40, 45, 46, 60, 69, 72, 90, 92, 115, 120, 138, 180, 184, 207, 230, 276, 345, 360, 414, 460, 552, 690, 828, 920, 1035, 1380, 1656, 2070, 2760, 4140, 8280
8,2851, 5, 1657, 8285
8,3001, 2, 4, 5, 10, 20, 25, 50, 83, 100, 166, 332, 415, 830, 1660, 2075, 4150, 8300
8,3101, 2, 3, 5, 6, 10, 15, 30, 277, 554, 831, 1385, 1662, 2770, 4155, 8310
8,3401, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 139, 278, 417, 556, 695, 834, 1390, 1668, 2085, 2780, 4170, 8340
8,3501, 2, 5, 10, 25, 50, 167, 334, 835, 1670, 4175, 8350
8,3551, 3, 5, 15, 557, 1671, 2785, 8355
8,3601, 2, 4, 5, 8, 10, 11, 19, 20, 22, 38, 40, 44, 55, 76, 88, 95, 110, 152, 190, 209, 220, 380, 418, 440, 760, 836, 1045, 1672, 2090, 4180, 8360
8,3701, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 31, 45, 54, 62, 90, 93, 135, 155, 186, 270, 279, 310, 465, 558, 837, 930, 1395, 1674, 2790, 4185, 8370
8,3751, 5, 25, 67, 125, 335, 1675, 8375
8,3801, 2, 4, 5, 10, 20, 419, 838, 1676, 2095, 4190, 8380
8,3901, 2, 5, 10, 839, 1678, 4195, 8390
8,4001, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 25, 28, 30, 35, 40, 42, 48, 50, 56, 60, 70, 75, 80, 84, 100, 105, 112, 120, 140, 150, 168, 175, 200, 210, 240, 280, 300, 336, 350, 400, 420, 525, 560, 600, 700, 840, 1050, 1200, 1400, 1680, 2100, 2800, 4200, 8400
8,4051, 5, 41, 205, 1681, 8405
8,4101, 2, 5, 10, 29, 58, 145, 290, 841, 1682, 4205, 8410
8,4251, 5, 25, 337, 1685, 8425
8,4351, 5, 7, 35, 241, 1205, 1687, 8435
8,4501, 2, 5, 10, 13, 25, 26, 50, 65, 130, 169, 325, 338, 650, 845, 1690, 4225, 8450
8,4601, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 47, 60, 90, 94, 141, 180, 188, 235, 282, 423, 470, 564, 705, 846, 940, 1410, 1692, 2115, 2820, 4230, 8460
8,4701, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 121, 154, 242, 385, 605, 770, 847, 1210, 1694, 4235, 8470
8,4801, 2, 4, 5, 8, 10, 16, 20, 32, 40, 53, 80, 106, 160, 212, 265, 424, 530, 848, 1060, 1696, 2120, 4240, 8480
8,4901, 2, 3, 5, 6, 10, 15, 30, 283, 566, 849, 1415, 1698, 2830, 4245, 8490
8,5001, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 125, 170, 250, 340, 425, 500, 850, 1700, 2125, 4250, 8500
8,5851, 5, 17, 85, 101, 505, 1717, 8585
8,5951, 3, 5, 9, 15, 45, 191, 573, 955, 1719, 2865, 8595
8,6001, 2, 4, 5, 8, 10, 20, 25, 40, 43, 50, 86, 100, 172, 200, 215, 344, 430, 860, 1075, 1720, 2150, 4300, 8600
8,6301, 2, 5, 10, 863, 1726, 4315, 8630

FAQ

What are the Factors of 8,400?

Factors of 8,400: 60 factors: 1, 2, 3, 4, 5 … 2800, 4200, 8400

How many factors does 8,400 have?

Number 8,400 has 60 factors

How many Factor Pairs does 8,400 have?

Number 8,400 has 30 factor pairs

Is 8,400 a prime or composite number?

Composite: 8400 = 2⁴ × 3 × 5² × 7, so it has 60 factors — a prime has exactly two.

How many factors does 8,400 have excluding 1 and 8,400?

58 — all 60 factors except 1 and 8,400.

See Also