Factors of 2400

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What are the Factors of 2,400?

Answer

Factors of 2,400:
36 factors: 1, 2, 3, 4, 5 … 800, 1200, 2400
all 36 factors

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, 2400

36 factors · 2400 = 25 × 3 × 52 · composite

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

Factor pairs of 2,400

  • 1 × 2400
  • 2 × 1200
  • 3 × 800
  • 4 × 600
  • 5 × 480
  • 6 × 400
  • 8 × 300
  • 10 × 240

√2400 ≈ 48.99 — the last pair 48 × 50 sits here; past it pairs repeat.

all 18 pairs
  • 1 × 2400
  • 2 × 1200
  • 3 × 800
  • 4 × 600
  • 5 × 480
  • 6 × 400
  • 8 × 300
  • 10 × 240
  • 12 × 200
  • 15 × 160
  • 16 × 150
  • 20 × 120
  • 24 × 100
  • 25 × 96
  • 30 × 80
  • 32 × 75
  • 40 × 60
  • 48 × 50

2400 = 25 × 3 × 52 → (5 + 1) × (1 + 1) × (2 + 1) = 36 factors: add 1 to each exponent and multiply.

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Factors Table

NumberFactors
2,3001, 2, 4, 5, 10, 20, 23, 25, 46, 50, 92, 100, 115, 230, 460, 575, 1150, 2300
2,3051, 5, 461, 2305
2,3101, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 42, 55, 66, 70, 77, 105, 110, 154, 165, 210, 231, 330, 385, 462, 770, 1155, 2310
2,3201, 2, 4, 5, 8, 10, 16, 20, 29, 40, 58, 80, 116, 145, 232, 290, 464, 580, 1160, 2320
2,3251, 3, 5, 15, 25, 31, 75, 93, 155, 465, 775, 2325
2,3301, 2, 5, 10, 233, 466, 1165, 2330
2,3401, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 30, 36, 39, 45, 52, 60, 65, 78, 90, 117, 130, 156, 180, 195, 234, 260, 390, 468, 585, 780, 1170, 2340
2,3411, 2341
2,3451, 5, 7, 35, 67, 335, 469, 2345
2,3501, 2, 5, 10, 25, 47, 50, 94, 235, 470, 1175, 2350
2,3601, 2, 4, 5, 8, 10, 20, 40, 59, 118, 236, 295, 472, 590, 1180, 2360
2,3651, 5, 11, 43, 55, 215, 473, 2365
2,3701, 2, 3, 5, 6, 10, 15, 30, 79, 158, 237, 395, 474, 790, 1185, 2370
2,3801, 2, 4, 5, 7, 10, 14, 17, 20, 28, 34, 35, 68, 70, 85, 119, 140, 170, 238, 340, 476, 595, 1190, 2380
2,3901, 2, 5, 10, 239, 478, 1195, 2390
2,4001, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, 2400
2,4101, 2, 5, 10, 241, 482, 1205, 2410
2,4151, 3, 5, 7, 15, 21, 23, 35, 69, 105, 115, 161, 345, 483, 805, 2415
2,4201, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 121, 220, 242, 484, 605, 1210, 2420
2,4251, 5, 25, 97, 485, 2425
2,4301, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 810, 1215, 2430
2,4401, 2, 4, 5, 8, 10, 20, 40, 61, 122, 244, 305, 488, 610, 1220, 2440
2,4451, 3, 5, 15, 163, 489, 815, 2445
2,4501, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 175, 245, 350, 490, 1225, 2450
2,4601, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 41, 60, 82, 123, 164, 205, 246, 410, 492, 615, 820, 1230, 2460
2,4651, 5, 17, 29, 85, 145, 493, 2465
2,4701, 2, 5, 10, 13, 19, 26, 38, 65, 95, 130, 190, 247, 494, 1235, 2470
2,4751, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825, 2475
2,4801, 2, 4, 5, 8, 10, 16, 20, 31, 40, 62, 80, 124, 155, 248, 310, 496, 620, 1240, 2480
2,4851, 5, 7, 35, 71, 355, 497, 2485

FAQ

What are the Factors of 2,400?

Factors of 2,400: 36 factors: 1, 2, 3, 4, 5 … 800, 1200, 2400

How many factors does 2,400 have?

Number 2,400 has 36 factors

How many Factor Pairs does 2,400 have?

Number 2,400 has 18 factor pairs

Is 2,400 a prime or composite number?

Composite: 2400 = 2⁵ × 3 × 5², so it has 36 factors — a prime has exactly two.

How many factors does 2,400 have excluding 1 and 2,400?

34 — all 36 factors except 1 and 2,400.

See Also