Factors of 1440

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What are the Factors of 1,440?

Answer

Factors of 1,440:
36 factors: 1, 2, 3, 4, 5 … 480, 720, 1440
all 36 factors

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440

36 factors · 1440 = 25 × 32 × 5 · composite

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

Factor pairs of 1,440

  • 1 × 1440
  • 2 × 720
  • 3 × 480
  • 4 × 360
  • 5 × 288
  • 6 × 240
  • 8 × 180
  • 9 × 160

√1440 ≈ 37.95 — the last pair 36 × 40 sits here; past it pairs repeat.

all 18 pairs
  • 1 × 1440
  • 2 × 720
  • 3 × 480
  • 4 × 360
  • 5 × 288
  • 6 × 240
  • 8 × 180
  • 9 × 160
  • 10 × 144
  • 12 × 120
  • 15 × 96
  • 16 × 90
  • 18 × 80
  • 20 × 72
  • 24 × 60
  • 30 × 48
  • 32 × 45
  • 36 × 40

1440 = 25 × 32 × 5 → (5 + 1) × (2 + 1) × (1 + 1) = 36 factors: add 1 to each exponent and multiply.

See Also

Factors Table

NumberFactors
1,3601, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680, 1360
1,3651, 3, 5, 7, 13, 15, 21, 35, 39, 65, 91, 105, 195, 273, 455, 1365
1,3701, 2, 5, 10, 137, 274, 685, 1370
1,3751, 5, 11, 25, 55, 125, 275, 1375
1,3801, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690, 1380
1,3851, 5, 277, 1385
1,3901, 2, 5, 10, 139, 278, 695, 1390
1,3951, 3, 5, 9, 15, 31, 45, 93, 155, 279, 465, 1395
1,4001, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700, 1400
1,4051, 5, 281, 1405
1,4101, 2, 3, 5, 6, 10, 15, 30, 47, 94, 141, 235, 282, 470, 705, 1410
1,4151, 5, 283, 1415
1,4201, 2, 4, 5, 10, 20, 71, 142, 284, 355, 710, 1420
1,4251, 3, 5, 15, 19, 25, 57, 75, 95, 285, 475, 1425
1,4301, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715, 1430
1,4401, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440
1,4451, 5, 17, 85, 289, 1445
1,4501, 2, 5, 10, 25, 29, 50, 58, 145, 290, 725, 1450
1,4551, 3, 5, 15, 97, 291, 485, 1455
1,4601, 2, 4, 5, 10, 20, 73, 146, 292, 365, 730, 1460
1,4651, 5, 293, 1465
1,4701, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 70, 98, 105, 147, 210, 245, 294, 490, 735, 1470
1,4751, 5, 25, 59, 295, 1475
1,4801, 2, 4, 5, 8, 10, 20, 37, 40, 74, 148, 185, 296, 370, 740, 1480
1,4851, 3, 5, 9, 11, 15, 27, 33, 45, 55, 99, 135, 165, 297, 495, 1485
1,4901, 2, 5, 10, 149, 298, 745, 1490
1,4951, 5, 13, 23, 65, 115, 299, 1495
1,4971, 3, 499, 1497
1,5001, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 750, 1500
1,5051, 5, 7, 35, 43, 215, 301, 1505

FAQ

What are the Factors of 1,440?

Factors of 1,440: 36 factors: 1, 2, 3, 4, 5 … 480, 720, 1440

How many factors does 1,440 have?

Number 1,440 has 36 factors

How many Factor Pairs does 1,440 have?

Number 1,440 has 18 factor pairs

Is 1,440 a prime or composite number?

Composite: 1440 = 2⁵ × 3² × 5, so it has 36 factors — a prime has exactly two.

How many factors does 1,440 have excluding 1 and 1,440?

34 — all 36 factors except 1 and 1,440.