Factors of 1400

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What are the Factors of 1,400?

Answer

Factors of 1,400:
24 factors: 1, 2, 4, 5, 7 … 350, 700, 1400
all 24 factors

1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700, 1400

24 factors · 1400 = 23 × 52 × 7 · composite

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

Factor pairs of 1,400

  • 1 × 1400
  • 2 × 700
  • 4 × 350
  • 5 × 280
  • 7 × 200
  • 8 × 175
  • 10 × 140
  • 14 × 100
  • 20 × 70
  • 25 × 56
  • 28 × 50
  • 35 × 40

√1400 ≈ 37.42 — the last pair 35 × 40 sits here; past it pairs repeat.

1400 = 23 × 52 × 7 → (3 + 1) × (2 + 1) × (1 + 1) = 24 factors: add 1 to each exponent and multiply.

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Factors Table

NumberFactors
1,3251, 5, 25, 53, 265, 1325
1,3301, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665, 1330
1,3351, 3, 5, 15, 89, 267, 445, 1335
1,3401, 2, 4, 5, 10, 20, 67, 134, 268, 335, 670, 1340
1,3451, 5, 269, 1345
1,3501, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675, 1350
1,3551, 5, 271, 1355
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

FAQ

What are the Factors of 1,400?

Factors of 1,400: 24 factors: 1, 2, 4, 5, 7 … 350, 700, 1400

How many factors does 1,400 have?

Number 1,400 has 24 factors

How many Factor Pairs does 1,400 have?

Number 1,400 has 12 factor pairs

Is 1,400 a prime or composite number?

Composite: 1400 = 2³ × 5² × 7, so it has 24 factors — a prime has exactly two.

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

22 — all 24 factors except 1 and 1,400.

See Also