Factors of 2500

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What are the Factors of 2,500?

Answer

Factors of 2,500:
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500

15 factors · 2500 = 22 × 54 · composite

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

Factor pairs of 2,500

  • 1 × 2500
  • 2 × 1250
  • 4 × 625
  • 5 × 500
  • 10 × 250
  • 20 × 125
  • 25 × 100
  • 50 × 50

50 × 50 is a pair of one factor — that is why 2500 has an odd number of factors, 15.

2500 = 22 × 54 → (2 + 1) × (4 + 1) = 15 factors: add 1 to each exponent and multiply.

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Factors Table

NumberFactors
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
2,4901, 2, 3, 5, 6, 10, 15, 30, 83, 166, 249, 415, 498, 830, 1245, 2490
2,4951, 5, 499, 2495
2,5001, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500
2,5051, 3, 5, 15, 167, 501, 835, 2505
2,5101, 2, 5, 10, 251, 502, 1255, 2510
2,5201, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, 2520
2,5251, 5, 25, 101, 505, 2525
2,5301, 2, 5, 10, 11, 22, 23, 46, 55, 110, 115, 230, 253, 506, 1265, 2530
2,5351, 3, 5, 13, 15, 39, 65, 169, 195, 507, 845, 2535
2,5401, 2, 4, 5, 10, 20, 127, 254, 508, 635, 1270, 2540
2,5411, 3, 7, 11, 21, 33, 77, 121, 231, 363, 847, 2541
2,5501, 2, 3, 5, 6, 10, 15, 17, 25, 30, 34, 50, 51, 75, 85, 102, 150, 170, 255, 425, 510, 850, 1275, 2550
2,5601, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1280, 2560
2,5651, 3, 5, 9, 15, 19, 27, 45, 57, 95, 135, 171, 285, 513, 855, 2565
2,5851, 5, 11, 47, 55, 235, 517, 2585
2,5951, 3, 5, 15, 173, 519, 865, 2595
2,6001, 2, 4, 5, 8, 10, 13, 20, 25, 26, 40, 50, 52, 65, 100, 104, 130, 200, 260, 325, 520, 650, 1300, 2600

FAQ

What are the Factors of 2,500?

Factors of 2,500: 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500

How many factors does 2,500 have?

Number 2,500 has 15 factors

How many Factor Pairs does 2,500 have?

Number 2,500 has 8 factor pairs

Is 2,500 a prime or composite number?

Composite: 2500 = 2² × 5⁴, so it has 15 factors — a prime has exactly two.

How many factors does 2,500 have excluding 1 and 2,500?

13: 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625 and 1250.

Why does 2,500 have an odd number of factors?

2,500 is a perfect square: in the pair 50 × 50 the factor 50 pairs with itself, so the 15 factors are 7 pairs plus 50.

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