Divisors of 49980: All 72 Factors

Quick Answer

49980 has 72 divisors (factors): 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 17, 20, 21, 28, 30, 34, 35, 42, 49, 51, 60, 68, 70, 84, 85, 98, 102, 105, 119, 140, 147, 170, 196, 204, 210, 238, 245, 255, 294, 340, 357, 420, 476, 490, 510, 588, 595, 714, 735, 833, 980, 1020, 1190, 1428, 1470, 1666, 1785, 2380, 2499, 2940, 3332, 3570, 4165, 4998, 7140, 8330, 9996, 12495, 16660, 24990, 49980.

Sum: 172368.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

  Ex.: 12, 36, 100, 1024, 1728, etc.
72 divisors
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 17, 20, 21, 28, 30, 34, 35, 42, 49, 51, 60, 68, 70, 84, 85, 98, 102, 105, 119, 140, 147, 170, 196, 204, 210, 238, 245, 255, 294, 340, 357, 420, 476, 490, 510, 588, 595, 714, 735, 833, 980, 1020, 1190, 1428, 1470, 1666, 1785, 2380, 2499, 2940, 3332, 3570, 4165, 4998, 7140, 8330, 9996, 12495, 16660, 24990, 49980

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 49980

The number 49980 has 72 divisors:

1,  2,  3,  4,  5,  6,  7,  10,  12,  14,  15,  17,  20,  21,  28,  30,  34,  35,  42,  49,  51,  60,  68,  70,  84,  85,  98,  102,  105,  119,  140,  147,  170,  196,  204,  210,  238,  245,  255,  294,  340,  357,  420,  476,  490,  510,  588,  595,  714,  735,  833,  980,  1020,  1190,  1428,  1470,  1666,  1785,  2380,  2499,  2940,  3332,  3570,  4165,  4998,  7140,  8330,  9996,  12495,  16660,  24990,  49980

Divisor Pairs of 49980

Each pair multiplies to 49980:

Factor 1×Factor 2=Product
1×49980=49980
2×24990=49980
3×16660=49980
4×12495=49980
5×9996=49980
6×8330=49980
7×7140=49980
10×4998=49980
12×4165=49980
14×3570=49980
15×3332=49980
17×2940=49980
20×2499=49980
21×2380=49980
28×1785=49980
30×1666=49980
34×1470=49980
35×1428=49980
42×1190=49980
49×1020=49980
51×980=49980
60×833=49980
68×735=49980
70×714=49980
84×595=49980
85×588=49980
98×510=49980
102×490=49980
105×476=49980
119×420=49980
140×357=49980
147×340=49980
170×294=49980
196×255=49980
204×245=49980
210×238=49980

Number of Divisors

The number 49980 has 72 divisors, written as τ(49980) = 72 in number theory.

Sum of Divisors

σ(49980) = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 10 + 12 + 14 + 15 + 17 + 20 + 21 + 28 + 30 + 34 + 35 + 42 + 49 + 51 + 60 + 68 + 70 + 84 + 85 + 98 + 102 + 105 + 119 + 140 + 147 + 170 + 196 + 204 + 210 + 238 + 245 + 255 + 294 + 340 + 357 + 420 + 476 + 490 + 510 + 588 + 595 + 714 + 735 + 833 + 980 + 1020 + 1190 + 1428 + 1470 + 1666 + 1785 + 2380 + 2499 + 2940 + 3332 + 3570 + 4165 + 4998 + 7140 + 8330 + 9996 + 12495 + 16660 + 24990 + 49980 = 172368

Prime Factorization of 49980

See the full prime factorization calculator →

Properties of 49980

  • 49980 is composite.
  • 49980 is not a perfect square.
  • Number of divisors: 72.
  • Sum of divisors: 172368.

Common Divisors with Another Number?

Looking for the divisors that 49980 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 49980

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √49980 ≈ 223.56. If i divides 49980, then both i and 49980/i are divisors.

  1. 1 divides 49980 (49980 ÷ 1 = 49980) → pair (1, 49980)
  2. 2 divides 49980 (49980 ÷ 2 = 24990) → pair (2, 24990)
  3. 3 divides 49980 (49980 ÷ 3 = 16660) → pair (3, 16660)
  4. 4 divides 49980 (49980 ÷ 4 = 12495) → pair (4, 12495)
  5. 5 divides 49980 (49980 ÷ 5 = 9996) → pair (5, 9996)
  6. 6 divides 49980 (49980 ÷ 6 = 8330) → pair (6, 8330)
  7. 7 divides 49980 (49980 ÷ 7 = 7140) → pair (7, 7140)
  8. 10 divides 49980 (49980 ÷ 10 = 4998) → pair (10, 4998)
  9. 12 divides 49980 (49980 ÷ 12 = 4165) → pair (12, 4165)
  10. 14 divides 49980 (49980 ÷ 14 = 3570) → pair (14, 3570)
  11. 15 divides 49980 (49980 ÷ 15 = 3332) → pair (15, 3332)
  12. 17 divides 49980 (49980 ÷ 17 = 2940) → pair (17, 2940)
  13. 20 divides 49980 (49980 ÷ 20 = 2499) → pair (20, 2499)
  14. 21 divides 49980 (49980 ÷ 21 = 2380) → pair (21, 2380)
  15. 28 divides 49980 (49980 ÷ 28 = 1785) → pair (28, 1785)
  16. 30 divides 49980 (49980 ÷ 30 = 1666) → pair (30, 1666)
  17. 34 divides 49980 (49980 ÷ 34 = 1470) → pair (34, 1470)
  18. 35 divides 49980 (49980 ÷ 35 = 1428) → pair (35, 1428)
  19. 42 divides 49980 (49980 ÷ 42 = 1190) → pair (42, 1190)
  20. 49 divides 49980 (49980 ÷ 49 = 1020) → pair (49, 1020)
  21. 51 divides 49980 (49980 ÷ 51 = 980) → pair (51, 980)
  22. 60 divides 49980 (49980 ÷ 60 = 833) → pair (60, 833)
  23. 68 divides 49980 (49980 ÷ 68 = 735) → pair (68, 735)
  24. 70 divides 49980 (49980 ÷ 70 = 714) → pair (70, 714)
  25. 84 divides 49980 (49980 ÷ 84 = 595) → pair (84, 595)
  26. 85 divides 49980 (49980 ÷ 85 = 588) → pair (85, 588)
  27. 98 divides 49980 (49980 ÷ 98 = 510) → pair (98, 510)
  28. 102 divides 49980 (49980 ÷ 102 = 490) → pair (102, 490)
  29. 105 divides 49980 (49980 ÷ 105 = 476) → pair (105, 476)
  30. 119 divides 49980 (49980 ÷ 119 = 420) → pair (119, 420)
  31. 140 divides 49980 (49980 ÷ 140 = 357) → pair (140, 357)
  32. 147 divides 49980 (49980 ÷ 147 = 340) → pair (147, 340)
  33. 170 divides 49980 (49980 ÷ 170 = 294) → pair (170, 294)
  34. 196 divides 49980 (49980 ÷ 196 = 255) → pair (196, 255)
  35. 204 divides 49980 (49980 ÷ 204 = 245) → pair (204, 245)
  36. 210 divides 49980 (49980 ÷ 210 = 238) → pair (210, 238)
  37. Collect all unique values: {1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 17, 20, 21, 28, 30, 34, 35, 42, 49, 51, 60, 68, 70, 84, 85, 98, 102, 105, 119, 140, 147, 170, 196, 204, 210, 238, 245, 255, 294, 340, 357, 420, 476, 490, 510, 588, 595, 714, 735, 833, 980, 1020, 1190, 1428, 1470, 1666, 1785, 2380, 2499, 2940, 3332, 3570, 4165, 4998, 7140, 8330, 9996, 12495, 16660, 24990, 49980} — total 72 divisors.
  38. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 10 + 12 + 14 + 15 + 17 + 20 + 21 + 28 + 30 + 34 + 35 + 42 + 49 + 51 + 60 + 68 + 70 + 84 + 85 + 98 + 102 + 105 + 119 + 140 + 147 + 170 + 196 + 204 + 210 + 238 + 245 + 255 + 294 + 340 + 357 + 420 + 476 + 490 + 510 + 588 + 595 + 714 + 735 + 833 + 980 + 1020 + 1190 + 1428 + 1470 + 1666 + 1785 + 2380 + 2499 + 2940 + 3332 + 3570 + 4165 + 4998 + 7140 + 8330 + 9996 + 12495 + 16660 + 24990 + 49980 = 172368.

Nearby Examples

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

Related Operations for 49980

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:

1009 div1,0308 div1,2074 div1,2698 div1,4532 div1,75216 div1,86212 div1,9664 div26012 div74812 div1,1858 div1,30216 div

Related Calculators