Divisors of 21840: All 80 Factors

Quick Answer

21840 has 80 divisors (factors): 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 13, 14, 15, 16, 20, 21, 24, 26, 28, 30, 35, 39, 40, 42, 48, 52, 56, 60, 65, 70, 78, 80, 84, 91, 104, 105, 112, 120, 130, 140, 156, 168, 182, 195, 208, 210, 240, 260, 273, 280, 312, 336, 364, 390, 420, 455, 520, 546, 560, 624, 728, 780, 840, 910, 1040, 1092, 1365, 1456, 1560, 1680, 1820, 2184, 2730, 3120, 3640, 4368, 5460, 7280, 10920, 21840.

Sum: 83328.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

  Ex.: 12, 36, 100, 1024, 1728, etc.
80 divisors
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 13, 14, 15, 16, 20, 21, 24, 26, 28, 30, 35, 39, 40, 42, 48, 52, 56, 60, 65, 70, 78, 80, 84, 91, 104, 105, 112, 120, 130, 140, 156, 168, 182, 195, 208, 210, 240, 260, 273, 280, 312, 336, 364, 390, 420, 455, 520, 546, 560, 624, 728, 780, 840, 910, 1040, 1092, 1365, 1456, 1560, 1680, 1820, 2184, 2730, 3120, 3640, 4368, 5460, 7280, 10920, 21840

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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 21840

The number 21840 has 80 divisors:

1,  2,  3,  4,  5,  6,  7,  8,  10,  12,  13,  14,  15,  16,  20,  21,  24,  26,  28,  30,  35,  39,  40,  42,  48,  52,  56,  60,  65,  70,  78,  80,  84,  91,  104,  105,  112,  120,  130,  140,  156,  168,  182,  195,  208,  210,  240,  260,  273,  280,  312,  336,  364,  390,  420,  455,  520,  546,  560,  624,  728,  780,  840,  910,  1040,  1092,  1365,  1456,  1560,  1680,  1820,  2184,  2730,  3120,  3640,  4368,  5460,  7280,  10920,  21840

Divisor Pairs of 21840

Each pair multiplies to 21840:

Factor 1×Factor 2=Product
1×21840=21840
2×10920=21840
3×7280=21840
4×5460=21840
5×4368=21840
6×3640=21840
7×3120=21840
8×2730=21840
10×2184=21840
12×1820=21840
13×1680=21840
14×1560=21840
15×1456=21840
16×1365=21840
20×1092=21840
21×1040=21840
24×910=21840
26×840=21840
28×780=21840
30×728=21840
35×624=21840
39×560=21840
40×546=21840
42×520=21840
48×455=21840
52×420=21840
56×390=21840
60×364=21840
65×336=21840
70×312=21840
78×280=21840
80×273=21840
84×260=21840
91×240=21840
104×210=21840
105×208=21840
112×195=21840
120×182=21840
130×168=21840
140×156=21840

Number of Divisors

The number 21840 has 80 divisors, written as τ(21840) = 80 in number theory.

Sum of Divisors

σ(21840) = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 10 + 12 + 13 + 14 + 15 + 16 + 20 + 21 + 24 + 26 + 28 + 30 + 35 + 39 + 40 + 42 + 48 + 52 + 56 + 60 + 65 + 70 + 78 + 80 + 84 + 91 + 104 + 105 + 112 + 120 + 130 + 140 + 156 + 168 + 182 + 195 + 208 + 210 + 240 + 260 + 273 + 280 + 312 + 336 + 364 + 390 + 420 + 455 + 520 + 546 + 560 + 624 + 728 + 780 + 840 + 910 + 1040 + 1092 + 1365 + 1456 + 1560 + 1680 + 1820 + 2184 + 2730 + 3120 + 3640 + 4368 + 5460 + 7280 + 10920 + 21840 = 83328

Prime Factorization of 21840

See the full prime factorization calculator →

Properties of 21840

  • 21840 is composite.
  • 21840 is not a perfect square.
  • Number of divisors: 80.
  • Sum of divisors: 83328.

Common Divisors with Another Number?

Looking for the divisors that 21840 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 21840

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √21840 ≈ 147.78. If i divides 21840, then both i and 21840/i are divisors.

  1. 1 divides 21840 (21840 ÷ 1 = 21840) → pair (1, 21840)
  2. 2 divides 21840 (21840 ÷ 2 = 10920) → pair (2, 10920)
  3. 3 divides 21840 (21840 ÷ 3 = 7280) → pair (3, 7280)
  4. 4 divides 21840 (21840 ÷ 4 = 5460) → pair (4, 5460)
  5. 5 divides 21840 (21840 ÷ 5 = 4368) → pair (5, 4368)
  6. 6 divides 21840 (21840 ÷ 6 = 3640) → pair (6, 3640)
  7. 7 divides 21840 (21840 ÷ 7 = 3120) → pair (7, 3120)
  8. 8 divides 21840 (21840 ÷ 8 = 2730) → pair (8, 2730)
  9. 10 divides 21840 (21840 ÷ 10 = 2184) → pair (10, 2184)
  10. 12 divides 21840 (21840 ÷ 12 = 1820) → pair (12, 1820)
  11. 13 divides 21840 (21840 ÷ 13 = 1680) → pair (13, 1680)
  12. 14 divides 21840 (21840 ÷ 14 = 1560) → pair (14, 1560)
  13. 15 divides 21840 (21840 ÷ 15 = 1456) → pair (15, 1456)
  14. 16 divides 21840 (21840 ÷ 16 = 1365) → pair (16, 1365)
  15. 20 divides 21840 (21840 ÷ 20 = 1092) → pair (20, 1092)
  16. 21 divides 21840 (21840 ÷ 21 = 1040) → pair (21, 1040)
  17. 24 divides 21840 (21840 ÷ 24 = 910) → pair (24, 910)
  18. 26 divides 21840 (21840 ÷ 26 = 840) → pair (26, 840)
  19. 28 divides 21840 (21840 ÷ 28 = 780) → pair (28, 780)
  20. 30 divides 21840 (21840 ÷ 30 = 728) → pair (30, 728)
  21. 35 divides 21840 (21840 ÷ 35 = 624) → pair (35, 624)
  22. 39 divides 21840 (21840 ÷ 39 = 560) → pair (39, 560)
  23. 40 divides 21840 (21840 ÷ 40 = 546) → pair (40, 546)
  24. 42 divides 21840 (21840 ÷ 42 = 520) → pair (42, 520)
  25. 48 divides 21840 (21840 ÷ 48 = 455) → pair (48, 455)
  26. 52 divides 21840 (21840 ÷ 52 = 420) → pair (52, 420)
  27. 56 divides 21840 (21840 ÷ 56 = 390) → pair (56, 390)
  28. 60 divides 21840 (21840 ÷ 60 = 364) → pair (60, 364)
  29. 65 divides 21840 (21840 ÷ 65 = 336) → pair (65, 336)
  30. 70 divides 21840 (21840 ÷ 70 = 312) → pair (70, 312)
  31. 78 divides 21840 (21840 ÷ 78 = 280) → pair (78, 280)
  32. 80 divides 21840 (21840 ÷ 80 = 273) → pair (80, 273)
  33. 84 divides 21840 (21840 ÷ 84 = 260) → pair (84, 260)
  34. 91 divides 21840 (21840 ÷ 91 = 240) → pair (91, 240)
  35. 104 divides 21840 (21840 ÷ 104 = 210) → pair (104, 210)
  36. 105 divides 21840 (21840 ÷ 105 = 208) → pair (105, 208)
  37. 112 divides 21840 (21840 ÷ 112 = 195) → pair (112, 195)
  38. 120 divides 21840 (21840 ÷ 120 = 182) → pair (120, 182)
  39. 130 divides 21840 (21840 ÷ 130 = 168) → pair (130, 168)
  40. 140 divides 21840 (21840 ÷ 140 = 156) → pair (140, 156)
  41. Collect all unique values: {1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 13, 14, 15, 16, 20, 21, 24, 26, 28, 30, 35, 39, 40, 42, 48, 52, 56, 60, 65, 70, 78, 80, 84, 91, 104, 105, 112, 120, 130, 140, 156, 168, 182, 195, 208, 210, 240, 260, 273, 280, 312, 336, 364, 390, 420, 455, 520, 546, 560, 624, 728, 780, 840, 910, 1040, 1092, 1365, 1456, 1560, 1680, 1820, 2184, 2730, 3120, 3640, 4368, 5460, 7280, 10920, 21840} — total 80 divisors.
  42. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 10 + 12 + 13 + 14 + 15 + 16 + 20 + 21 + 24 + 26 + 28 + 30 + 35 + 39 + 40 + 42 + 48 + 52 + 56 + 60 + 65 + 70 + 78 + 80 + 84 + 91 + 104 + 105 + 112 + 120 + 130 + 140 + 156 + 168 + 182 + 195 + 208 + 210 + 240 + 260 + 273 + 280 + 312 + 336 + 364 + 390 + 420 + 455 + 520 + 546 + 560 + 624 + 728 + 780 + 840 + 910 + 1040 + 1092 + 1365 + 1456 + 1560 + 1680 + 1820 + 2184 + 2730 + 3120 + 3640 + 4368 + 5460 + 7280 + 10920 + 21840 = 83328.

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Related Operations for 21840

See also our tables of divisors:

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

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