Divisors of 49140: All 96 Factors

Divisors (Factors) Calculator

Use the calculator above to find all divisors (also called factors) of any positive integer up to 4,782,969. Beyond the divisor list, this tool also shows divisor pairs, the sum and count of divisors, prime factorization, and number properties (prime, perfect square, perfect number).

All Divisors of 49140

The number 49140 has 96 divisors:

1,  2,  3,  4,  5,  6,  7,  9,  10,  12,  13,  14,  15,  18,  20,  21,  26,  27,  28,  30,  35,  36,  39,  42,  45,  52,  54,  60,  63,  65,  70,  78,  84,  90,  91,  105,  108,  117,  126,  130,  135,  140,  156,  180,  182,  189,  195,  210,  234,  252,  260,  270,  273,  315,  351,  364,  378,  390,  420,  455,  468,  540,  546,  585,  630,  702,  756,  780,  819,  910,  945,  1092,  1170,  1260,  1365,  1404,  1638,  1755,  1820,  1890,  2340,  2457,  2730,  3276,  3510,  3780,  4095,  4914,  5460,  7020,  8190,  9828,  12285,  16380,  24570,  49140

Divisor Pairs of 49140

Each pair multiplies to 49140:

Number of Divisors

The number 49140 has 96 divisors, written as τ(49140) = 96 in number theory.

Sum of Divisors

σ(49140) = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 9 + 10 + 12 + 13 + 14 + 15 + 18 + 20 + 21 + 26 + 27 + 28 + 30 + 35 + 36 + 39 + 42 + 45 + 52 + 54 + 60 + 63 + 65 + 70 + 78 + 84 + 90 + 91 + 105 + 108 + 117 + 126 + 130 + 135 + 140 + 156 + 180 + 182 + 189 + 195 + 210 + 234 + 252 + 260 + 270 + 273 + 315 + 351 + 364 + 378 + 390 + 420 + 455 + 468 + 540 + 546 + 585 + 630 + 702 + 756 + 780 + 819 + 910 + 945 + 1092 + 1170 + 1260 + 1365 + 1404 + 1638 + 1755 + 1820 + 1890 + 2340 + 2457 + 2730 + 3276 + 3510 + 3780 + 4095 + 4914 + 5460 + 7020 + 8190 + 9828 + 12285 + 16380 + 24570 + 49140 = 188160

Prime Factorization of 49140

See the full prime factorization calculator →

Properties of 49140

• 49140 is composite.
• 49140 is not a perfect square.
• Number of divisors: 96.
• Sum of divisors: 188160.

Common Divisors with Another Number?

Looking for the divisors that 49140 shares with another number? Use our Greatest Common Factor (GCF) calculator — it finds all common divisors and the largest one.

Step-by-Step: How to Find the Divisors of 49140

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √49140 ≈ 221.68. If i divides 49140, then both i and 49140/i are divisors.

1. 1 divides 49140 (49140 ÷ 1 = 49140) → pair (1, 49140)
2. 2 divides 49140 (49140 ÷ 2 = 24570) → pair (2, 24570)
3. 3 divides 49140 (49140 ÷ 3 = 16380) → pair (3, 16380)
4. 4 divides 49140 (49140 ÷ 4 = 12285) → pair (4, 12285)
5. 5 divides 49140 (49140 ÷ 5 = 9828) → pair (5, 9828)
6. 6 divides 49140 (49140 ÷ 6 = 8190) → pair (6, 8190)
7. 7 divides 49140 (49140 ÷ 7 = 7020) → pair (7, 7020)
8. 9 divides 49140 (49140 ÷ 9 = 5460) → pair (9, 5460)
9. 10 divides 49140 (49140 ÷ 10 = 4914) → pair (10, 4914)
10. 12 divides 49140 (49140 ÷ 12 = 4095) → pair (12, 4095)
11. 13 divides 49140 (49140 ÷ 13 = 3780) → pair (13, 3780)
12. 14 divides 49140 (49140 ÷ 14 = 3510) → pair (14, 3510)
13. 15 divides 49140 (49140 ÷ 15 = 3276) → pair (15, 3276)
14. 18 divides 49140 (49140 ÷ 18 = 2730) → pair (18, 2730)
15. 20 divides 49140 (49140 ÷ 20 = 2457) → pair (20, 2457)
16. 21 divides 49140 (49140 ÷ 21 = 2340) → pair (21, 2340)
17. 26 divides 49140 (49140 ÷ 26 = 1890) → pair (26, 1890)
18. 27 divides 49140 (49140 ÷ 27 = 1820) → pair (27, 1820)
19. 28 divides 49140 (49140 ÷ 28 = 1755) → pair (28, 1755)
20. 30 divides 49140 (49140 ÷ 30 = 1638) → pair (30, 1638)
21. 35 divides 49140 (49140 ÷ 35 = 1404) → pair (35, 1404)
22. 36 divides 49140 (49140 ÷ 36 = 1365) → pair (36, 1365)
23. 39 divides 49140 (49140 ÷ 39 = 1260) → pair (39, 1260)
24. 42 divides 49140 (49140 ÷ 42 = 1170) → pair (42, 1170)
25. 45 divides 49140 (49140 ÷ 45 = 1092) → pair (45, 1092)
26. 52 divides 49140 (49140 ÷ 52 = 945) → pair (52, 945)
27. 54 divides 49140 (49140 ÷ 54 = 910) → pair (54, 910)
28. 60 divides 49140 (49140 ÷ 60 = 819) → pair (60, 819)
29. 63 divides 49140 (49140 ÷ 63 = 780) → pair (63, 780)
30. 65 divides 49140 (49140 ÷ 65 = 756) → pair (65, 756)
31. 70 divides 49140 (49140 ÷ 70 = 702) → pair (70, 702)
32. 78 divides 49140 (49140 ÷ 78 = 630) → pair (78, 630)
33. 84 divides 49140 (49140 ÷ 84 = 585) → pair (84, 585)
34. 90 divides 49140 (49140 ÷ 90 = 546) → pair (90, 546)
35. 91 divides 49140 (49140 ÷ 91 = 540) → pair (91, 540)
36. 105 divides 49140 (49140 ÷ 105 = 468) → pair (105, 468)
37. 108 divides 49140 (49140 ÷ 108 = 455) → pair (108, 455)
38. 117 divides 49140 (49140 ÷ 117 = 420) → pair (117, 420)
39. 126 divides 49140 (49140 ÷ 126 = 390) → pair (126, 390)
40. 130 divides 49140 (49140 ÷ 130 = 378) → pair (130, 378)
41. 135 divides 49140 (49140 ÷ 135 = 364) → pair (135, 364)
42. 140 divides 49140 (49140 ÷ 140 = 351) → pair (140, 351)
43. 156 divides 49140 (49140 ÷ 156 = 315) → pair (156, 315)
44. 180 divides 49140 (49140 ÷ 180 = 273) → pair (180, 273)
45. 182 divides 49140 (49140 ÷ 182 = 270) → pair (182, 270)
46. 189 divides 49140 (49140 ÷ 189 = 260) → pair (189, 260)
47. 195 divides 49140 (49140 ÷ 195 = 252) → pair (195, 252)
48. 210 divides 49140 (49140 ÷ 210 = 234) → pair (210, 234)
49. Collect all unique values: {1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 13, 14, 15, 18, 20, 21, 26, 27, 28, 30, 35, 36, 39, 42, 45, 52, 54, 60, 63, 65, 70, 78, 84, 90, 91, 105, 108, 117, 126, 130, 135, 140, 156, 180, 182, 189, 195, 210, 234, 252, 260, 270, 273, 315, 351, 364, 378, 390, 420, 455, 468, 540, 546, 585, 630, 702, 756, 780, 819, 910, 945, 1092, 1170, 1260, 1365, 1404, 1638, 1755, 1820, 1890, 2340, 2457, 2730, 3276, 3510, 3780, 4095, 4914, 5460, 7020, 8190, 9828, 12285, 16380, 24570, 49140} — total 96 divisors.
50. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 9 + 10 + 12 + 13 + 14 + 15 + 18 + 20 + 21 + 26 + 27 + 28 + 30 + 35 + 36 + 39 + 42 + 45 + 52 + 54 + 60 + 63 + 65 + 70 + 78 + 84 + 90 + 91 + 105 + 108 + 117 + 126 + 130 + 135 + 140 + 156 + 180 + 182 + 189 + 195 + 210 + 234 + 252 + 260 + 270 + 273 + 315 + 351 + 364 + 378 + 390 + 420 + 455 + 468 + 540 + 546 + 585 + 630 + 702 + 756 + 780 + 819 + 910 + 945 + 1092 + 1170 + 1260 + 1365 + 1404 + 1638 + 1755 + 1820 + 1890 + 2340 + 2457 + 2730 + 3276 + 3510 + 3780 + 4095 + 4914 + 5460 + 7020 + 8190 + 9828 + 12285 + 16380 + 24570 + 49140 = 188160.

Nearby Examples

Related Operations for 49140

• Multiples of a Number — "outward" complement of divisors
• 49140 Prime Factorization — decompose into prime building blocks
• Find GCF of 49140 and another number
• Find LCM of 49140 and another number
• Is 49140 a perfect square? (odd divisor count ⇔ yes)

See also our tables of divisors:

• Table of all divisors from 1 to 100
• Table of all divisors from 1 to 500
• Table of all divisors from 1 to 1,000
• Table of all divisors from 1 to 10,000

What Is a Divisor?

A divisor (also called a factor) of a positive integer n is any positive integer d such that n ÷ d has no remainder. In other words, d divides n evenly.

Every positive integer n has at least two divisors: 1 and n itself (with 1 being the trivial case of having only itself). Numbers with exactly 2 divisors are prime; numbers with 3 or more divisors are composite.

Why use this calculator? Beyond just listing divisors, this tool computes the sum σ(n), the count τ(n), prime factorization, divisor pairs (useful for visual learners and factoring problems), and detects whether n is a prime, a perfect square, or a perfect number.

References

• [1] Divisor (Wikipedia)
• [2] Divisor function (Wikipedia)
• [3] Divisor (Wolfram MathWorld)

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