Factors of 2160

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What are the Factors of 2,160?

Answer

Factors of 2,160:
40 factors: 1, 2, 3, 4, 5 … 720, 1080, 2160
all 40 factors

1, 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

40 factors · 2160 = 24 × 33 × 5 · composite

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

Factor pairs of 2,160

  • 1 × 2160
  • 2 × 1080
  • 3 × 720
  • 4 × 540
  • 5 × 432
  • 6 × 360
  • 8 × 270
  • 9 × 240

√2160 ≈ 46.48 — the last pair 45 × 48 sits here; past it pairs repeat.

all 20 pairs
  • 1 × 2160
  • 2 × 1080
  • 3 × 720
  • 4 × 540
  • 5 × 432
  • 6 × 360
  • 8 × 270
  • 9 × 240
  • 10 × 216
  • 12 × 180
  • 15 × 144
  • 16 × 135
  • 18 × 120
  • 20 × 108
  • 24 × 90
  • 27 × 80
  • 30 × 72
  • 36 × 60
  • 40 × 54
  • 45 × 48

2160 = 24 × 33 × 5 → (4 + 1) × (3 + 1) × (1 + 1) = 40 factors: add 1 to each exponent and multiply.

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Factors Table

NumberFactors
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
2,1081, 2, 4, 17, 31, 34, 62, 68, 124, 527, 1054, 2108
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
2,1851, 5, 19, 23, 95, 115, 437, 2185
2,1901, 2, 3, 5, 6, 10, 15, 30, 73, 146, 219, 365, 438, 730, 1095, 2190
2,1951, 5, 439, 2195
2,2001, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 88, 100, 110, 200, 220, 275, 440, 550, 1100, 2200
2,2051, 3, 5, 7, 9, 15, 21, 35, 45, 49, 63, 105, 147, 245, 315, 441, 735, 2205
2,2101, 2, 5, 10, 13, 17, 26, 34, 65, 85, 130, 170, 221, 442, 1105, 2210
2,2201, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 37, 60, 74, 111, 148, 185, 222, 370, 444, 555, 740, 1110, 2220
2,2221, 2, 11, 22, 101, 202, 1111, 2222
2,2251, 5, 25, 89, 445, 2225
2,2301, 2, 5, 10, 223, 446, 1115, 2230

FAQ

What are the Factors of 2,160?

Factors of 2,160: 40 factors: 1, 2, 3, 4, 5 … 720, 1080, 2160

How many factors does 2,160 have?

Number 2,160 has 40 factors

How many Factor Pairs does 2,160 have?

Number 2,160 has 20 factor pairs

Is 2,160 a prime or composite number?

Composite: 2160 = 2⁴ × 3³ × 5, so it has 40 factors — a prime has exactly two.

How many factors does 2,160 have excluding 1 and 2,160?

38 — all 40 factors except 1 and 2,160.

See Also