Divisors of 41040: All 80 Factors

Quick Answer

41040 has 80 divisors (factors): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 19, 20, 24, 27, 30, 36, 38, 40, 45, 48, 54, 57, 60, 72, 76, 80, 90, 95, 108, 114, 120, 135, 144, 152, 171, 180, 190, 216, 228, 240, 270, 285, 304, 342, 360, 380, 432, 456, 513, 540, 570, 684, 720, 760, 855, 912, 1026, 1080, 1140, 1368, 1520, 1710, 2052, 2160, 2280, 2565, 2736, 3420, 4104, 4560, 5130, 6840, 8208, 10260, 13680, 20520, 41040.

Sum: 148800.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

  Ex.: 12, 36, 100, 1024, 1728, etc.
80 divisors
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 19, 20, 24, 27, 30, 36, 38, 40, 45, 48, 54, 57, 60, 72, 76, 80, 90, 95, 108, 114, 120, 135, 144, 152, 171, 180, 190, 216, 228, 240, 270, 285, 304, 342, 360, 380, 432, 456, 513, 540, 570, 684, 720, 760, 855, 912, 1026, 1080, 1140, 1368, 1520, 1710, 2052, 2160, 2280, 2565, 2736, 3420, 4104, 4560, 5130, 6840, 8208, 10260, 13680, 20520, 41040

Found an error? Contact us.

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 41040

The number 41040 has 80 divisors:

1,  2,  3,  4,  5,  6,  8,  9,  10,  12,  15,  16,  18,  19,  20,  24,  27,  30,  36,  38,  40,  45,  48,  54,  57,  60,  72,  76,  80,  90,  95,  108,  114,  120,  135,  144,  152,  171,  180,  190,  216,  228,  240,  270,  285,  304,  342,  360,  380,  432,  456,  513,  540,  570,  684,  720,  760,  855,  912,  1026,  1080,  1140,  1368,  1520,  1710,  2052,  2160,  2280,  2565,  2736,  3420,  4104,  4560,  5130,  6840,  8208,  10260,  13680,  20520,  41040

Divisor Pairs of 41040

Each pair multiplies to 41040:

Factor 1×Factor 2=Product
1×41040=41040
2×20520=41040
3×13680=41040
4×10260=41040
5×8208=41040
6×6840=41040
8×5130=41040
9×4560=41040
10×4104=41040
12×3420=41040
15×2736=41040
16×2565=41040
18×2280=41040
19×2160=41040
20×2052=41040
24×1710=41040
27×1520=41040
30×1368=41040
36×1140=41040
38×1080=41040
40×1026=41040
45×912=41040
48×855=41040
54×760=41040
57×720=41040
60×684=41040
72×570=41040
76×540=41040
80×513=41040
90×456=41040
95×432=41040
108×380=41040
114×360=41040
120×342=41040
135×304=41040
144×285=41040
152×270=41040
171×240=41040
180×228=41040
190×216=41040

Number of Divisors

The number 41040 has 80 divisors, written as τ(41040) = 80 in number theory.

Sum of Divisors

σ(41040) = 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 18 + 19 + 20 + 24 + 27 + 30 + 36 + 38 + 40 + 45 + 48 + 54 + 57 + 60 + 72 + 76 + 80 + 90 + 95 + 108 + 114 + 120 + 135 + 144 + 152 + 171 + 180 + 190 + 216 + 228 + 240 + 270 + 285 + 304 + 342 + 360 + 380 + 432 + 456 + 513 + 540 + 570 + 684 + 720 + 760 + 855 + 912 + 1026 + 1080 + 1140 + 1368 + 1520 + 1710 + 2052 + 2160 + 2280 + 2565 + 2736 + 3420 + 4104 + 4560 + 5130 + 6840 + 8208 + 10260 + 13680 + 20520 + 41040 = 148800

Prime Factorization of 41040

See the full prime factorization calculator →

Properties of 41040

  • 41040 is composite.
  • 41040 is not a perfect square.
  • Number of divisors: 80.
  • Sum of divisors: 148800.

Common Divisors with Another Number?

Looking for the divisors that 41040 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 41040

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √41040 ≈ 202.58. If i divides 41040, then both i and 41040/i are divisors.

  1. 1 divides 41040 (41040 ÷ 1 = 41040) → pair (1, 41040)
  2. 2 divides 41040 (41040 ÷ 2 = 20520) → pair (2, 20520)
  3. 3 divides 41040 (41040 ÷ 3 = 13680) → pair (3, 13680)
  4. 4 divides 41040 (41040 ÷ 4 = 10260) → pair (4, 10260)
  5. 5 divides 41040 (41040 ÷ 5 = 8208) → pair (5, 8208)
  6. 6 divides 41040 (41040 ÷ 6 = 6840) → pair (6, 6840)
  7. 8 divides 41040 (41040 ÷ 8 = 5130) → pair (8, 5130)
  8. 9 divides 41040 (41040 ÷ 9 = 4560) → pair (9, 4560)
  9. 10 divides 41040 (41040 ÷ 10 = 4104) → pair (10, 4104)
  10. 12 divides 41040 (41040 ÷ 12 = 3420) → pair (12, 3420)
  11. 15 divides 41040 (41040 ÷ 15 = 2736) → pair (15, 2736)
  12. 16 divides 41040 (41040 ÷ 16 = 2565) → pair (16, 2565)
  13. 18 divides 41040 (41040 ÷ 18 = 2280) → pair (18, 2280)
  14. 19 divides 41040 (41040 ÷ 19 = 2160) → pair (19, 2160)
  15. 20 divides 41040 (41040 ÷ 20 = 2052) → pair (20, 2052)
  16. 24 divides 41040 (41040 ÷ 24 = 1710) → pair (24, 1710)
  17. 27 divides 41040 (41040 ÷ 27 = 1520) → pair (27, 1520)
  18. 30 divides 41040 (41040 ÷ 30 = 1368) → pair (30, 1368)
  19. 36 divides 41040 (41040 ÷ 36 = 1140) → pair (36, 1140)
  20. 38 divides 41040 (41040 ÷ 38 = 1080) → pair (38, 1080)
  21. 40 divides 41040 (41040 ÷ 40 = 1026) → pair (40, 1026)
  22. 45 divides 41040 (41040 ÷ 45 = 912) → pair (45, 912)
  23. 48 divides 41040 (41040 ÷ 48 = 855) → pair (48, 855)
  24. 54 divides 41040 (41040 ÷ 54 = 760) → pair (54, 760)
  25. 57 divides 41040 (41040 ÷ 57 = 720) → pair (57, 720)
  26. 60 divides 41040 (41040 ÷ 60 = 684) → pair (60, 684)
  27. 72 divides 41040 (41040 ÷ 72 = 570) → pair (72, 570)
  28. 76 divides 41040 (41040 ÷ 76 = 540) → pair (76, 540)
  29. 80 divides 41040 (41040 ÷ 80 = 513) → pair (80, 513)
  30. 90 divides 41040 (41040 ÷ 90 = 456) → pair (90, 456)
  31. 95 divides 41040 (41040 ÷ 95 = 432) → pair (95, 432)
  32. 108 divides 41040 (41040 ÷ 108 = 380) → pair (108, 380)
  33. 114 divides 41040 (41040 ÷ 114 = 360) → pair (114, 360)
  34. 120 divides 41040 (41040 ÷ 120 = 342) → pair (120, 342)
  35. 135 divides 41040 (41040 ÷ 135 = 304) → pair (135, 304)
  36. 144 divides 41040 (41040 ÷ 144 = 285) → pair (144, 285)
  37. 152 divides 41040 (41040 ÷ 152 = 270) → pair (152, 270)
  38. 171 divides 41040 (41040 ÷ 171 = 240) → pair (171, 240)
  39. 180 divides 41040 (41040 ÷ 180 = 228) → pair (180, 228)
  40. 190 divides 41040 (41040 ÷ 190 = 216) → pair (190, 216)
  41. Collect all unique values: {1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 19, 20, 24, 27, 30, 36, 38, 40, 45, 48, 54, 57, 60, 72, 76, 80, 90, 95, 108, 114, 120, 135, 144, 152, 171, 180, 190, 216, 228, 240, 270, 285, 304, 342, 360, 380, 432, 456, 513, 540, 570, 684, 720, 760, 855, 912, 1026, 1080, 1140, 1368, 1520, 1710, 2052, 2160, 2280, 2565, 2736, 3420, 4104, 4560, 5130, 6840, 8208, 10260, 13680, 20520, 41040} — total 80 divisors.
  42. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 18 + 19 + 20 + 24 + 27 + 30 + 36 + 38 + 40 + 45 + 48 + 54 + 57 + 60 + 72 + 76 + 80 + 90 + 95 + 108 + 114 + 120 + 135 + 144 + 152 + 171 + 180 + 190 + 216 + 228 + 240 + 270 + 285 + 304 + 342 + 360 + 380 + 432 + 456 + 513 + 540 + 570 + 684 + 720 + 760 + 855 + 912 + 1026 + 1080 + 1140 + 1368 + 1520 + 1710 + 2052 + 2160 + 2280 + 2565 + 2736 + 3420 + 4104 + 4560 + 5130 + 6840 + 8208 + 10260 + 13680 + 20520 + 41040 = 148800.

Nearby Examples

ndivisors countsum σ(n)
360241170
24020744
18018546
14415403
12016360
1009217
9012234
8412224

Related Operations for 41040

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

Divisors Calculation Examples

Find all divisors of these numbers:

1,9708 div2,0236 div1009 div1,0308 div1,2074 div1,2698 div1,4532 div1,75216 div1,86212 div1,9664 div26012 div74812 div

Related Calculators