Factors of 5040

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What are the Factors of 5,040?

Answer

Factors of 5,040:
60 factors: 1, 2, 3, 4, 5 … 1680, 2520, 5040
all 60 factors

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 105, 112, 120, 126, 140, 144, 168, 180, 210, 240, 252, 280, 315, 336, 360, 420, 504, 560, 630, 720, 840, 1008, 1260, 1680, 2520, 5040

60 factors · 5040 = 24 × 32 × 5 × 7 · composite

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

Factor pairs of 5,040

  • 1 × 5040
  • 2 × 2520
  • 3 × 1680
  • 4 × 1260
  • 5 × 1008
  • 6 × 840
  • 7 × 720
  • 8 × 630

√5040 ≈ 70.99 — the last pair 70 × 72 sits here; past it pairs repeat.

all 30 pairs
  • 1 × 5040
  • 2 × 2520
  • 3 × 1680
  • 4 × 1260
  • 5 × 1008
  • 6 × 840
  • 7 × 720
  • 8 × 630
  • 9 × 560
  • 10 × 504
  • 12 × 420
  • 14 × 360
  • 15 × 336
  • 16 × 315
  • 18 × 280
  • 20 × 252
  • 21 × 240
  • 24 × 210
  • 28 × 180
  • 30 × 168
  • 35 × 144
  • 36 × 140
  • 40 × 126
  • 42 × 120
  • 45 × 112
  • 48 × 105
  • 56 × 90
  • 60 × 84
  • 63 × 80
  • 70 × 72

5040 = 24 × 32 × 5 × 7 → (4 + 1) × (2 + 1) × (1 + 1) × (1 + 1) = 60 factors: add 1 to each exponent and multiply.

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Factors Table

NumberFactors
4,9301, 2, 5, 10, 17, 29, 34, 58, 85, 145, 170, 290, 493, 986, 2465, 4930
4,9351, 3, 5, 7, 15, 21, 35, 47, 105, 141, 235, 329, 705, 987, 1645, 4935
4,9401, 2, 4, 5, 10, 13, 19, 20, 26, 38, 52, 65, 76, 95, 130, 190, 247, 260, 380, 494, 988, 1235, 2470, 4940
4,9501, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 30, 33, 45, 50, 55, 66, 75, 90, 99, 110, 150, 165, 198, 225, 275, 330, 450, 495, 550, 825, 990, 1650, 2475, 4950
4,9551, 5, 991, 4955
4,9601, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 80, 124, 155, 160, 248, 310, 496, 620, 992, 1240, 2480, 4960
4,9801, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 83, 166, 249, 332, 415, 498, 830, 996, 1245, 1660, 2490, 4980
4,9901, 2, 5, 10, 499, 998, 2495, 4990
5,0001, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 5000
5,0051, 5, 7, 11, 13, 35, 55, 65, 77, 91, 143, 385, 455, 715, 1001, 5005
5,0101, 2, 3, 5, 6, 10, 15, 30, 167, 334, 501, 835, 1002, 1670, 2505, 5010
5,0201, 2, 4, 5, 10, 20, 251, 502, 1004, 1255, 2510, 5020
5,0251, 3, 5, 15, 25, 67, 75, 201, 335, 1005, 1675, 5025
5,0301, 2, 5, 10, 503, 1006, 2515, 5030
5,0351, 5, 19, 53, 95, 265, 1007, 5035
5,0401, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 105, 112, 120, 126, 140, 144, 168, 180, 210, 240, 252, 280, 315, 336, 360, 420, 504, 560, 630, 720, 840, 1008, 1260, 1680, 2520, 5040
5,0501, 2, 5, 10, 25, 50, 101, 202, 505, 1010, 2525, 5050
5,0701, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 169, 195, 338, 390, 507, 845, 1014, 1690, 2535, 5070
5,0751, 5, 7, 25, 29, 35, 145, 175, 203, 725, 1015, 5075
5,0901, 2, 5, 10, 509, 1018, 2545, 5090
5,1001, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 25, 30, 34, 50, 51, 60, 68, 75, 85, 100, 102, 150, 170, 204, 255, 300, 340, 425, 510, 850, 1020, 1275, 1700, 2550, 5100
5,1101, 2, 5, 7, 10, 14, 35, 70, 73, 146, 365, 511, 730, 1022, 2555, 5110
5,1201, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1024, 1280, 2560, 5120
5,1301, 2, 3, 5, 6, 9, 10, 15, 18, 19, 27, 30, 38, 45, 54, 57, 90, 95, 114, 135, 171, 190, 270, 285, 342, 513, 570, 855, 1026, 1710, 2565, 5130
5,1351, 5, 13, 65, 79, 395, 1027, 5135
5,1401, 2, 4, 5, 10, 20, 257, 514, 1028, 1285, 2570, 5140
5,1451, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 343, 735, 1029, 1715, 5145
5,1501, 2, 5, 10, 25, 50, 103, 206, 515, 1030, 2575, 5150
5,1551, 5, 1031, 5155
5,1601, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 43, 60, 86, 120, 129, 172, 215, 258, 344, 430, 516, 645, 860, 1032, 1290, 1720, 2580, 5160

FAQ

What are the Factors of 5,040?

Factors of 5,040: 60 factors: 1, 2, 3, 4, 5 … 1680, 2520, 5040

How many factors does 5,040 have?

Number 5,040 has 60 factors

How many Factor Pairs does 5,040 have?

Number 5,040 has 30 factor pairs

Is 5,040 a prime or composite number?

Composite: 5040 = 2⁴ × 3² × 5 × 7, so it has 60 factors — a prime has exactly two.

How many factors does 5,040 have excluding 1 and 5,040?

58 — all 60 factors except 1 and 5,040.

See Also