Divisors of 49680: All 80 Factors

Quick Answer

49680 has 80 divisors (factors): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 23, 24, 27, 30, 36, 40, 45, 46, 48, 54, 60, 69, 72, 80, 90, 92, 108, 115, 120, 135, 138, 144, 180, 184, 207, 216, 230, 240, 270, 276, 345, 360, 368, 414, 432, 460, 540, 552, 621, 690, 720, 828, 920, 1035, 1080, 1104, 1242, 1380, 1656, 1840, 2070, 2160, 2484, 2760, 3105, 3312, 4140, 4968, 5520, 6210, 8280, 9936, 12420, 16560, 24840, 49680.

Sum: 178560.

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, 20, 23, 24, 27, 30, 36, 40, 45, 46, 48, 54, 60, 69, 72, 80, 90, 92, 108, 115, 120, 135, 138, 144, 180, 184, 207, 216, 230, 240, 270, 276, 345, 360, 368, 414, 432, 460, 540, 552, 621, 690, 720, 828, 920, 1035, 1080, 1104, 1242, 1380, 1656, 1840, 2070, 2160, 2484, 2760, 3105, 3312, 4140, 4968, 5520, 6210, 8280, 9936, 12420, 16560, 24840, 49680

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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 49680

The number 49680 has 80 divisors:

1,  2,  3,  4,  5,  6,  8,  9,  10,  12,  15,  16,  18,  20,  23,  24,  27,  30,  36,  40,  45,  46,  48,  54,  60,  69,  72,  80,  90,  92,  108,  115,  120,  135,  138,  144,  180,  184,  207,  216,  230,  240,  270,  276,  345,  360,  368,  414,  432,  460,  540,  552,  621,  690,  720,  828,  920,  1035,  1080,  1104,  1242,  1380,  1656,  1840,  2070,  2160,  2484,  2760,  3105,  3312,  4140,  4968,  5520,  6210,  8280,  9936,  12420,  16560,  24840,  49680

Divisor Pairs of 49680

Each pair multiplies to 49680:

Factor 1×Factor 2=Product
1×49680=49680
2×24840=49680
3×16560=49680
4×12420=49680
5×9936=49680
6×8280=49680
8×6210=49680
9×5520=49680
10×4968=49680
12×4140=49680
15×3312=49680
16×3105=49680
18×2760=49680
20×2484=49680
23×2160=49680
24×2070=49680
27×1840=49680
30×1656=49680
36×1380=49680
40×1242=49680
45×1104=49680
46×1080=49680
48×1035=49680
54×920=49680
60×828=49680
69×720=49680
72×690=49680
80×621=49680
90×552=49680
92×540=49680
108×460=49680
115×432=49680
120×414=49680
135×368=49680
138×360=49680
144×345=49680
180×276=49680
184×270=49680
207×240=49680
216×230=49680

Number of Divisors

The number 49680 has 80 divisors, written as τ(49680) = 80 in number theory.

Sum of Divisors

σ(49680) = 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 18 + 20 + 23 + 24 + 27 + 30 + 36 + 40 + 45 + 46 + 48 + 54 + 60 + 69 + 72 + 80 + 90 + 92 + 108 + 115 + 120 + 135 + 138 + 144 + 180 + 184 + 207 + 216 + 230 + 240 + 270 + 276 + 345 + 360 + 368 + 414 + 432 + 460 + 540 + 552 + 621 + 690 + 720 + 828 + 920 + 1035 + 1080 + 1104 + 1242 + 1380 + 1656 + 1840 + 2070 + 2160 + 2484 + 2760 + 3105 + 3312 + 4140 + 4968 + 5520 + 6210 + 8280 + 9936 + 12420 + 16560 + 24840 + 49680 = 178560

Prime Factorization of 49680

See the full prime factorization calculator →

Properties of 49680

  • 49680 is composite.
  • 49680 is not a perfect square.
  • Number of divisors: 80.
  • Sum of divisors: 178560.

Common Divisors with Another Number?

Looking for the divisors that 49680 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 49680

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √49680 ≈ 222.89. If i divides 49680, then both i and 49680/i are divisors.

  1. 1 divides 49680 (49680 ÷ 1 = 49680) → pair (1, 49680)
  2. 2 divides 49680 (49680 ÷ 2 = 24840) → pair (2, 24840)
  3. 3 divides 49680 (49680 ÷ 3 = 16560) → pair (3, 16560)
  4. 4 divides 49680 (49680 ÷ 4 = 12420) → pair (4, 12420)
  5. 5 divides 49680 (49680 ÷ 5 = 9936) → pair (5, 9936)
  6. 6 divides 49680 (49680 ÷ 6 = 8280) → pair (6, 8280)
  7. 8 divides 49680 (49680 ÷ 8 = 6210) → pair (8, 6210)
  8. 9 divides 49680 (49680 ÷ 9 = 5520) → pair (9, 5520)
  9. 10 divides 49680 (49680 ÷ 10 = 4968) → pair (10, 4968)
  10. 12 divides 49680 (49680 ÷ 12 = 4140) → pair (12, 4140)
  11. 15 divides 49680 (49680 ÷ 15 = 3312) → pair (15, 3312)
  12. 16 divides 49680 (49680 ÷ 16 = 3105) → pair (16, 3105)
  13. 18 divides 49680 (49680 ÷ 18 = 2760) → pair (18, 2760)
  14. 20 divides 49680 (49680 ÷ 20 = 2484) → pair (20, 2484)
  15. 23 divides 49680 (49680 ÷ 23 = 2160) → pair (23, 2160)
  16. 24 divides 49680 (49680 ÷ 24 = 2070) → pair (24, 2070)
  17. 27 divides 49680 (49680 ÷ 27 = 1840) → pair (27, 1840)
  18. 30 divides 49680 (49680 ÷ 30 = 1656) → pair (30, 1656)
  19. 36 divides 49680 (49680 ÷ 36 = 1380) → pair (36, 1380)
  20. 40 divides 49680 (49680 ÷ 40 = 1242) → pair (40, 1242)
  21. 45 divides 49680 (49680 ÷ 45 = 1104) → pair (45, 1104)
  22. 46 divides 49680 (49680 ÷ 46 = 1080) → pair (46, 1080)
  23. 48 divides 49680 (49680 ÷ 48 = 1035) → pair (48, 1035)
  24. 54 divides 49680 (49680 ÷ 54 = 920) → pair (54, 920)
  25. 60 divides 49680 (49680 ÷ 60 = 828) → pair (60, 828)
  26. 69 divides 49680 (49680 ÷ 69 = 720) → pair (69, 720)
  27. 72 divides 49680 (49680 ÷ 72 = 690) → pair (72, 690)
  28. 80 divides 49680 (49680 ÷ 80 = 621) → pair (80, 621)
  29. 90 divides 49680 (49680 ÷ 90 = 552) → pair (90, 552)
  30. 92 divides 49680 (49680 ÷ 92 = 540) → pair (92, 540)
  31. 108 divides 49680 (49680 ÷ 108 = 460) → pair (108, 460)
  32. 115 divides 49680 (49680 ÷ 115 = 432) → pair (115, 432)
  33. 120 divides 49680 (49680 ÷ 120 = 414) → pair (120, 414)
  34. 135 divides 49680 (49680 ÷ 135 = 368) → pair (135, 368)
  35. 138 divides 49680 (49680 ÷ 138 = 360) → pair (138, 360)
  36. 144 divides 49680 (49680 ÷ 144 = 345) → pair (144, 345)
  37. 180 divides 49680 (49680 ÷ 180 = 276) → pair (180, 276)
  38. 184 divides 49680 (49680 ÷ 184 = 270) → pair (184, 270)
  39. 207 divides 49680 (49680 ÷ 207 = 240) → pair (207, 240)
  40. 216 divides 49680 (49680 ÷ 216 = 230) → pair (216, 230)
  41. Collect all unique values: {1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 23, 24, 27, 30, 36, 40, 45, 46, 48, 54, 60, 69, 72, 80, 90, 92, 108, 115, 120, 135, 138, 144, 180, 184, 207, 216, 230, 240, 270, 276, 345, 360, 368, 414, 432, 460, 540, 552, 621, 690, 720, 828, 920, 1035, 1080, 1104, 1242, 1380, 1656, 1840, 2070, 2160, 2484, 2760, 3105, 3312, 4140, 4968, 5520, 6210, 8280, 9936, 12420, 16560, 24840, 49680} — total 80 divisors.
  42. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 18 + 20 + 23 + 24 + 27 + 30 + 36 + 40 + 45 + 46 + 48 + 54 + 60 + 69 + 72 + 80 + 90 + 92 + 108 + 115 + 120 + 135 + 138 + 144 + 180 + 184 + 207 + 216 + 230 + 240 + 270 + 276 + 345 + 360 + 368 + 414 + 432 + 460 + 540 + 552 + 621 + 690 + 720 + 828 + 920 + 1035 + 1080 + 1104 + 1242 + 1380 + 1656 + 1840 + 2070 + 2160 + 2484 + 2760 + 3105 + 3312 + 4140 + 4968 + 5520 + 6210 + 8280 + 9936 + 12420 + 16560 + 24840 + 49680 = 178560.

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Related Operations for 49680

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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