Factors of 4200

"Factors of a Number" Calculator
Factors of

What are the factors of 4,200?

Answer

Factors of 4,200:
48 factors: 1, 2, 3, 4, 5 … 1400, 2100, 4200
all 48 factors

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

48 factors · 4200 = 23 × 3 × 52 × 7 · composite

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

Factor pairs of 4,200

  • 1 × 4200
  • 2 × 2100
  • 3 × 1400
  • 4 × 1050
  • 5 × 840
  • 6 × 700
  • 7 × 600
  • 8 × 525

√4200 ≈ 64.81 — the last pair 60 × 70 sits here; past it pairs repeat.

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

4200 = 23 × 3 × 52 × 7 → (3 + 1) × (1 + 1) × (2 + 1) × (1 + 1) = 48 factors: add 1 to each exponent and multiply.

Related Calculations

See Also

Recalculate with different values ↑

Factors Table

NumberFactors
4,0701, 2, 5, 10, 11, 22, 37, 55, 74, 110, 185, 370, 407, 814, 2035, 4070
4,0751, 5, 25, 163, 815, 4075
4,0801, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 34, 40, 48, 51, 60, 68, 80, 85, 102, 120, 136, 170, 204, 240, 255, 272, 340, 408, 510, 680, 816, 1020, 1360, 2040, 4080
4,0951, 3, 5, 7, 9, 13, 15, 21, 35, 39, 45, 63, 65, 91, 105, 117, 195, 273, 315, 455, 585, 819, 1365, 4095
4,1001, 2, 4, 5, 10, 20, 25, 41, 50, 82, 100, 164, 205, 410, 820, 1025, 2050, 4100
4,1051, 5, 821, 4105
4,1101, 2, 3, 5, 6, 10, 15, 30, 137, 274, 411, 685, 822, 1370, 2055, 4110
4,1201, 2, 4, 5, 8, 10, 20, 40, 103, 206, 412, 515, 824, 1030, 2060, 4120
4,1251, 3, 5, 11, 15, 25, 33, 55, 75, 125, 165, 275, 375, 825, 1375, 4125
4,1401, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 23, 30, 36, 45, 46, 60, 69, 90, 92, 115, 138, 180, 207, 230, 276, 345, 414, 460, 690, 828, 1035, 1380, 2070, 4140
4,1501, 2, 5, 10, 25, 50, 83, 166, 415, 830, 2075, 4150
4,1551, 3, 5, 15, 277, 831, 1385, 4155
4,1601, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 130, 160, 208, 260, 320, 416, 520, 832, 1040, 2080, 4160
4,1701, 2, 3, 5, 6, 10, 15, 30, 139, 278, 417, 695, 834, 1390, 2085, 4170
4,1801, 2, 4, 5, 10, 11, 19, 20, 22, 38, 44, 55, 76, 95, 110, 190, 209, 220, 380, 418, 836, 1045, 2090, 4180
4,2001, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 25, 28, 30, 35, 40, 42, 50, 56, 60, 70, 75, 84, 100, 105, 120, 140, 150, 168, 175, 200, 210, 280, 300, 350, 420, 525, 600, 700, 840, 1050, 1400, 2100, 4200
4,2151, 3, 5, 15, 281, 843, 1405, 4215
4,2201, 2, 4, 5, 10, 20, 211, 422, 844, 1055, 2110, 4220
4,2301, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 47, 90, 94, 141, 235, 282, 423, 470, 705, 846, 1410, 2115, 4230
4,2401, 2, 4, 5, 8, 10, 16, 20, 40, 53, 80, 106, 212, 265, 424, 530, 848, 1060, 2120, 4240
4,2501, 2, 5, 10, 17, 25, 34, 50, 85, 125, 170, 250, 425, 850, 2125, 4250
4,2551, 5, 23, 37, 115, 185, 851, 4255
4,2601, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 71, 142, 213, 284, 355, 426, 710, 852, 1065, 1420, 2130, 4260
4,2851, 5, 857, 4285
4,2901, 2, 3, 5, 6, 10, 11, 13, 15, 22, 26, 30, 33, 39, 55, 65, 66, 78, 110, 130, 143, 165, 195, 286, 330, 390, 429, 715, 858, 1430, 2145, 4290
4,3001, 2, 4, 5, 10, 20, 25, 43, 50, 86, 100, 172, 215, 430, 860, 1075, 2150, 4300
4,3101, 2, 5, 10, 431, 862, 2155, 4310
4,3201, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 216, 240, 270, 288, 360, 432, 480, 540, 720, 864, 1080, 1440, 2160, 4320
4,3251, 5, 25, 173, 865, 4325
4,3301, 2, 5, 10, 433, 866, 2165, 4330

FAQ

What are the factors of 4,200?

Factors of 4,200: 48 factors: 1, 2, 3, 4, 5 … 1400, 2100, 4200

How many factors does 4,200 have?

Number 4,200 has 48 factors

How many factor pairs does 4,200 have?

Number 4,200 has 24 factor pairs

Is 4,200 a prime or composite number?

Composite: 4200 = 2³ × 3 × 5² × 7, so it has 48 factors — a prime has exactly two.

How many factors does 4,200 have excluding 1 and 4,200?

46 — all 48 factors except 1 and 4,200.

See Also