Factors of 3000

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What are the Factors of 3,000?

Answer

Factors of 3,000:
32 factors: 1, 2, 3, 4, 5 … 1000, 1500, 3000
all 32 factors

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 750, 1000, 1500, 3000

32 factors · 3000 = 23 × 3 × 53 · composite

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

Factor pairs of 3,000

  • 1 × 3000
  • 2 × 1500
  • 3 × 1000
  • 4 × 750
  • 5 × 600
  • 6 × 500
  • 8 × 375
  • 10 × 300

√3000 ≈ 54.77 — the last pair 50 × 60 sits here; past it pairs repeat.

all 16 pairs
  • 1 × 3000
  • 2 × 1500
  • 3 × 1000
  • 4 × 750
  • 5 × 600
  • 6 × 500
  • 8 × 375
  • 10 × 300
  • 12 × 250
  • 15 × 200
  • 20 × 150
  • 24 × 125
  • 25 × 120
  • 30 × 100
  • 40 × 75
  • 50 × 60

3000 = 23 × 3 × 53 → (3 + 1) × (1 + 1) × (3 + 1) = 32 factors: add 1 to each exponent and multiply.

Related Calculations

See Also

Recalculate with different values ↑

Factors Table

NumberFactors
2,9001, 2, 4, 5, 10, 20, 25, 29, 50, 58, 100, 116, 145, 290, 580, 725, 1450, 2900
2,9101, 2, 3, 5, 6, 10, 15, 30, 97, 194, 291, 485, 582, 970, 1455, 2910
2,9201, 2, 4, 5, 8, 10, 20, 40, 73, 146, 292, 365, 584, 730, 1460, 2920
2,9251, 3, 5, 9, 13, 15, 25, 39, 45, 65, 75, 117, 195, 225, 325, 585, 975, 2925
2,9301, 2, 5, 10, 293, 586, 1465, 2930
2,9351, 5, 587, 2935
2,9401, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 49, 60, 70, 84, 98, 105, 140, 147, 196, 210, 245, 294, 420, 490, 588, 735, 980, 1470, 2940
2,9451, 5, 19, 31, 95, 155, 589, 2945
2,9501, 2, 5, 10, 25, 50, 59, 118, 295, 590, 1475, 2950
2,9601, 2, 4, 5, 8, 10, 16, 20, 37, 40, 74, 80, 148, 185, 296, 370, 592, 740, 1480, 2960
2,9651, 5, 593, 2965
2,9701, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 33, 45, 54, 55, 66, 90, 99, 110, 135, 165, 198, 270, 297, 330, 495, 594, 990, 1485, 2970
2,9751, 5, 7, 17, 25, 35, 85, 119, 175, 425, 595, 2975
2,9851, 3, 5, 15, 199, 597, 995, 2985
2,9901, 2, 5, 10, 13, 23, 26, 46, 65, 115, 130, 230, 299, 598, 1495, 2990
3,0001, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 750, 1000, 1500, 3000
3,0051, 5, 601, 3005
3,0101, 2, 5, 7, 10, 14, 35, 43, 70, 86, 215, 301, 430, 602, 1505, 3010
3,0151, 3, 5, 9, 15, 45, 67, 201, 335, 603, 1005, 3015
3,0201, 2, 4, 5, 10, 20, 151, 302, 604, 755, 1510, 3020
3,0251, 5, 11, 25, 55, 121, 275, 605, 3025
3,0301, 2, 3, 5, 6, 10, 15, 30, 101, 202, 303, 505, 606, 1010, 1515, 3030
3,0351, 5, 607, 3035
3,0401, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 76, 80, 95, 152, 160, 190, 304, 380, 608, 760, 1520, 3040
3,0451, 3, 5, 7, 15, 21, 29, 35, 87, 105, 145, 203, 435, 609, 1015, 3045
3,0501, 2, 5, 10, 25, 50, 61, 122, 305, 610, 1525, 3050
3,0551, 5, 13, 47, 65, 235, 611, 3055
3,0601, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 30, 34, 36, 45, 51, 60, 68, 85, 90, 102, 153, 170, 180, 204, 255, 306, 340, 510, 612, 765, 1020, 1530, 3060
3,0651, 5, 613, 3065
3,0751, 3, 5, 15, 25, 41, 75, 123, 205, 615, 1025, 3075

FAQ

What are the Factors of 3,000?

Factors of 3,000: 32 factors: 1, 2, 3, 4, 5 … 1000, 1500, 3000

How many factors does 3,000 have?

Number 3,000 has 32 factors

How many Factor Pairs does 3,000 have?

Number 3,000 has 16 factor pairs

Is 3,000 a prime or composite number?

Composite: 3000 = 2³ × 3 × 5³, so it has 32 factors — a prime has exactly two.

How many factors does 3,000 have excluding 1 and 3,000?

30 — all 32 factors except 1 and 3,000.

See Also