Factors of 2100

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What are the Factors of 2,100?

Answer

Factors of 2,100:
36 factors: 1, 2, 3, 4, 5 … 700, 1050, 2100
all 36 factors

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 50, 60, 70, 75, 84, 100, 105, 140, 150, 175, 210, 300, 350, 420, 525, 700, 1050, 2100

36 factors · 2100 = 22 × 3 × 52 × 7 · composite

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

Factor pairs of 2,100

  • 1 × 2100
  • 2 × 1050
  • 3 × 700
  • 4 × 525
  • 5 × 420
  • 6 × 350
  • 7 × 300
  • 10 × 210

√2100 ≈ 45.83 — the last pair 42 × 50 sits here; past it pairs repeat.

all 18 pairs
  • 1 × 2100
  • 2 × 1050
  • 3 × 700
  • 4 × 525
  • 5 × 420
  • 6 × 350
  • 7 × 300
  • 10 × 210
  • 12 × 175
  • 14 × 150
  • 15 × 140
  • 20 × 105
  • 21 × 100
  • 25 × 84
  • 28 × 75
  • 30 × 70
  • 35 × 60
  • 42 × 50

2100 = 22 × 3 × 52 × 7 → (2 + 1) × (1 + 1) × (2 + 1) × (1 + 1) = 36 factors: add 1 to each exponent and multiply.

Related Calculations

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Factors Table

NumberFactors
2,0451, 5, 409, 2045
2,0461, 2, 3, 6, 11, 22, 31, 33, 62, 66, 93, 186, 341, 682, 1023, 2046
2,0471, 23, 89, 2047
2,0481, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048
2,0491, 3, 683, 2049
2,0501, 2, 5, 10, 25, 41, 50, 82, 205, 410, 1025, 2050
2,0551, 3, 5, 15, 137, 411, 685, 2055
2,0601, 2, 4, 5, 10, 20, 103, 206, 412, 515, 1030, 2060
2,0651, 5, 7, 35, 59, 295, 413, 2065
2,0701, 2, 3, 5, 6, 9, 10, 15, 18, 23, 30, 45, 46, 69, 90, 115, 138, 207, 230, 345, 414, 690, 1035, 2070
2,0751, 5, 25, 83, 415, 2075
2,0801, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 65, 80, 104, 130, 160, 208, 260, 416, 520, 1040, 2080
2,0851, 3, 5, 15, 139, 417, 695, 2085
2,0901, 2, 5, 10, 11, 19, 22, 38, 55, 95, 110, 190, 209, 418, 1045, 2090
2,0951, 5, 419, 2095
2,1001, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 50, 60, 70, 75, 84, 100, 105, 140, 150, 175, 210, 300, 350, 420, 525, 700, 1050, 2100
2,1101, 2, 5, 10, 211, 422, 1055, 2110
2,1151, 3, 5, 9, 15, 45, 47, 141, 235, 423, 705, 2115
2,1201, 2, 4, 5, 8, 10, 20, 40, 53, 106, 212, 265, 424, 530, 1060, 2120
2,1251, 5, 17, 25, 85, 125, 425, 2125
2,1301, 2, 3, 5, 6, 10, 15, 30, 71, 142, 213, 355, 426, 710, 1065, 2130
2,1401, 2, 4, 5, 10, 20, 107, 214, 428, 535, 1070, 2140
2,1451, 3, 5, 11, 13, 15, 33, 39, 55, 65, 143, 165, 195, 429, 715, 2145
2,1501, 2, 5, 10, 25, 43, 50, 86, 215, 430, 1075, 2150
2,1551, 5, 431, 2155
2,1601, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 90, 108, 120, 135, 144, 180, 216, 240, 270, 360, 432, 540, 720, 1080, 2160
2,1651, 5, 433, 2165
2,1701, 2, 5, 7, 10, 14, 31, 35, 62, 70, 155, 217, 310, 434, 1085, 2170
2,1751, 3, 5, 15, 25, 29, 75, 87, 145, 435, 725, 2175
2,1801, 2, 4, 5, 10, 20, 109, 218, 436, 545, 1090, 2180

FAQ

What are the Factors of 2,100?

Factors of 2,100: 36 factors: 1, 2, 3, 4, 5 … 700, 1050, 2100

How many factors does 2,100 have?

Number 2,100 has 36 factors

How many Factor Pairs does 2,100 have?

Number 2,100 has 18 factor pairs

Is 2,100 a prime or composite number?

Composite: 2100 = 2² × 3 × 5² × 7, so it has 36 factors — a prime has exactly two.

How many factors does 2,100 have excluding 1 and 2,100?

34 — all 36 factors except 1 and 2,100.

See Also