Factors of 5005

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What are the Factors of 5,005?

Answer

Factors of 5,005:
1, 5, 7, 11, 13, 35, 55, 65, 77, 91, 143, 385, 455, 715, 1001, 5005

16 factors · 5005 = 5 × 7 × 11 × 13 · composite

Underlined — prime: 5, 7, 11, 13 · 1 — neither prime nor composite · others — composite

Factor pairs of 5,005

  • 1 × 5005
  • 5 × 1001
  • 7 × 715
  • 11 × 455
  • 13 × 385
  • 35 × 143
  • 55 × 91
  • 65 × 77

√5005 ≈ 70.75 — the last pair 65 × 77 sits here; past it pairs repeat.

5005 = 5 × 7 × 11 × 13 → (1 + 1) × (1 + 1) × (1 + 1) × (1 + 1) = 16 factors: add 1 to each exponent and multiply.

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Factors Table

NumberFactors
4,8601, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 810, 972, 1215, 1620, 2430, 4860
4,8751, 3, 5, 13, 15, 25, 39, 65, 75, 125, 195, 325, 375, 975, 1625, 4875
4,8851, 5, 977, 4885
4,8901, 2, 3, 5, 6, 10, 15, 30, 163, 326, 489, 815, 978, 1630, 2445, 4890
4,9001, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450, 4900
4,9151, 5, 983, 4915
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

FAQ

What are the Factors of 5,005?

Factors of 5,005: 1, 5, 7, 11, 13, 35, 55, 65, 77, 91, 143, 385, 455, 715, 1001, 5005

How many factors does 5,005 have?

Number 5,005 has 16 factors

How many Factor Pairs does 5,005 have?

Number 5,005 has 8 factor pairs

Is 5,005 a prime or composite number?

Composite: 5005 = 5 × 7 × 11 × 13, so it has 16 factors — a prime has exactly two.

How many factors does 5,005 have excluding 1 and 5,005?

14: 5, 7, 11, 13, 35, 55, 65, 77, 91, 143, 385, 455, 715 and 1001.

See Also