Factors of 4900

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What are the Factors of 4,900?

Answer

Factors of 4,900:
27 factors: 1, 2, 4, 5, 7 … 1225, 2450, 4900
all 27 factors

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450, 4900

27 factors · 4900 = 22 × 52 × 72 · composite

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

Factor pairs of 4,900

  • 1 × 4900
  • 2 × 2450
  • 4 × 1225
  • 5 × 980
  • 7 × 700
  • 10 × 490
  • 14 × 350
  • 20 × 245

70 × 70 is a pair of one factor — that is why 4900 has an odd number of factors, 27.

all 14 pairs
  • 1 × 4900
  • 2 × 2450
  • 4 × 1225
  • 5 × 980
  • 7 × 700
  • 10 × 490
  • 14 × 350
  • 20 × 245
  • 25 × 196
  • 28 × 175
  • 35 × 140
  • 49 × 100
  • 50 × 98
  • 70 × 70

4900 = 22 × 52 × 72 → (2 + 1) × (2 + 1) × (2 + 1) = 27 factors: add 1 to each exponent and multiply.

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Factors Table

NumberFactors
4,7501, 2, 5, 10, 19, 25, 38, 50, 95, 125, 190, 250, 475, 950, 2375, 4750
4,7751, 5, 25, 191, 955, 4775
4,7851, 3, 5, 11, 15, 29, 33, 55, 87, 145, 165, 319, 435, 957, 1595, 4785
4,8001, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 150, 160, 192, 200, 240, 300, 320, 400, 480, 600, 800, 960, 1200, 1600, 2400, 4800
4,8051, 5, 31, 155, 961, 4805
4,8201, 2, 4, 5, 10, 20, 241, 482, 964, 1205, 2410, 4820
4,8301, 2, 3, 5, 6, 7, 10, 14, 15, 21, 23, 30, 35, 42, 46, 69, 70, 105, 115, 138, 161, 210, 230, 322, 345, 483, 690, 805, 966, 1610, 2415, 4830
4,8401, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 121, 220, 242, 440, 484, 605, 968, 1210, 2420, 4840
4,8481, 2, 3, 4, 6, 8, 12, 16, 24, 48, 101, 202, 303, 404, 606, 808, 1212, 1616, 2424, 4848
4,8501, 2, 5, 10, 25, 50, 97, 194, 485, 970, 2425, 4850
4,8551, 5, 971, 4855
4,8601, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 810, 972, 1215, 1620, 2430, 4860
4,8751, 3, 5, 13, 15, 25, 39, 65, 75, 125, 195, 325, 375, 975, 1625, 4875
4,8851, 5, 977, 4885
4,8901, 2, 3, 5, 6, 10, 15, 30, 163, 326, 489, 815, 978, 1630, 2445, 4890
4,9001, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450, 4900
4,9151, 5, 983, 4915
4,9401, 2, 4, 5, 10, 13, 19, 20, 26, 38, 52, 65, 76, 95, 130, 190, 247, 260, 380, 494, 988, 1235, 2470, 4940
4,9501, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 30, 33, 45, 50, 55, 66, 75, 90, 99, 110, 150, 165, 198, 225, 275, 330, 450, 495, 550, 825, 990, 1650, 2475, 4950
4,9601, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 80, 124, 155, 160, 248, 310, 496, 620, 992, 1240, 2480, 4960
4,9801, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 83, 166, 249, 332, 415, 498, 830, 996, 1245, 1660, 2490, 4980
4,9901, 2, 5, 10, 499, 998, 2495, 4990
5,0001, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 5000
5,0051, 5, 7, 11, 13, 35, 55, 65, 77, 91, 143, 385, 455, 715, 1001, 5005
5,0201, 2, 4, 5, 10, 20, 251, 502, 1004, 1255, 2510, 5020
5,0251, 3, 5, 15, 25, 67, 75, 201, 335, 1005, 1675, 5025
5,0301, 2, 5, 10, 503, 1006, 2515, 5030
5,0351, 5, 19, 53, 95, 265, 1007, 5035
5,0401, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 105, 112, 120, 126, 140, 144, 168, 180, 210, 240, 252, 280, 315, 336, 360, 420, 504, 560, 630, 720, 840, 1008, 1260, 1680, 2520, 5040
5,0501, 2, 5, 10, 25, 50, 101, 202, 505, 1010, 2525, 5050

FAQ

What are the Factors of 4,900?

Factors of 4,900: 27 factors: 1, 2, 4, 5, 7 … 1225, 2450, 4900

How many factors does 4,900 have?

Number 4,900 has 27 factors

How many Factor Pairs does 4,900 have?

Number 4,900 has 14 factor pairs

Is 4,900 a prime or composite number?

Composite: 4900 = 2² × 5² × 7², so it has 27 factors — a prime has exactly two.

How many factors does 4,900 have excluding 1 and 4,900?

25 — all 27 factors except 1 and 4,900.

Why does 4,900 have an odd number of factors?

4,900 is a perfect square: in the pair 70 × 70 the factor 70 pairs with itself, so the 27 factors are 13 pairs plus 70.

See Also