Divisors of 28980: All 72 Factors

Quick Answer

28980 has 72 divisors (factors): 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 23, 28, 30, 35, 36, 42, 45, 46, 60, 63, 69, 70, 84, 90, 92, 105, 115, 126, 138, 140, 161, 180, 207, 210, 230, 252, 276, 315, 322, 345, 414, 420, 460, 483, 630, 644, 690, 805, 828, 966, 1035, 1260, 1380, 1449, 1610, 1932, 2070, 2415, 2898, 3220, 4140, 4830, 5796, 7245, 9660, 14490, 28980.

Sum: 104832.

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, 9, 10, 12, 14, 15, 18, 20, 21, 23, 28, 30, 35, 36, 42, 45, 46, 60, 63, 69, 70, 84, 90, 92, 105, 115, 126, 138, 140, 161, 180, 207, 210, 230, 252, 276, 315, 322, 345, 414, 420, 460, 483, 630, 644, 690, 805, 828, 966, 1035, 1260, 1380, 1449, 1610, 1932, 2070, 2415, 2898, 3220, 4140, 4830, 5796, 7245, 9660, 14490, 28980

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 28980

The number 28980 has 72 divisors:

1,  2,  3,  4,  5,  6,  7,  9,  10,  12,  14,  15,  18,  20,  21,  23,  28,  30,  35,  36,  42,  45,  46,  60,  63,  69,  70,  84,  90,  92,  105,  115,  126,  138,  140,  161,  180,  207,  210,  230,  252,  276,  315,  322,  345,  414,  420,  460,  483,  630,  644,  690,  805,  828,  966,  1035,  1260,  1380,  1449,  1610,  1932,  2070,  2415,  2898,  3220,  4140,  4830,  5796,  7245,  9660,  14490,  28980

Divisor Pairs of 28980

Each pair multiplies to 28980:

Factor 1×Factor 2=Product
1×28980=28980
2×14490=28980
3×9660=28980
4×7245=28980
5×5796=28980
6×4830=28980
7×4140=28980
9×3220=28980
10×2898=28980
12×2415=28980
14×2070=28980
15×1932=28980
18×1610=28980
20×1449=28980
21×1380=28980
23×1260=28980
28×1035=28980
30×966=28980
35×828=28980
36×805=28980
42×690=28980
45×644=28980
46×630=28980
60×483=28980
63×460=28980
69×420=28980
70×414=28980
84×345=28980
90×322=28980
92×315=28980
105×276=28980
115×252=28980
126×230=28980
138×210=28980
140×207=28980
161×180=28980

Number of Divisors

The number 28980 has 72 divisors, written as τ(28980) = 72 in number theory.

Sum of Divisors

σ(28980) = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 9 + 10 + 12 + 14 + 15 + 18 + 20 + 21 + 23 + 28 + 30 + 35 + 36 + 42 + 45 + 46 + 60 + 63 + 69 + 70 + 84 + 90 + 92 + 105 + 115 + 126 + 138 + 140 + 161 + 180 + 207 + 210 + 230 + 252 + 276 + 315 + 322 + 345 + 414 + 420 + 460 + 483 + 630 + 644 + 690 + 805 + 828 + 966 + 1035 + 1260 + 1380 + 1449 + 1610 + 1932 + 2070 + 2415 + 2898 + 3220 + 4140 + 4830 + 5796 + 7245 + 9660 + 14490 + 28980 = 104832

Prime Factorization of 28980

See the full prime factorization calculator →

Properties of 28980

  • 28980 is composite.
  • 28980 is not a perfect square.
  • Number of divisors: 72.
  • Sum of divisors: 104832.

Common Divisors with Another Number?

Looking for the divisors that 28980 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 28980

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √28980 ≈ 170.24. If i divides 28980, then both i and 28980/i are divisors.

  1. 1 divides 28980 (28980 ÷ 1 = 28980) → pair (1, 28980)
  2. 2 divides 28980 (28980 ÷ 2 = 14490) → pair (2, 14490)
  3. 3 divides 28980 (28980 ÷ 3 = 9660) → pair (3, 9660)
  4. 4 divides 28980 (28980 ÷ 4 = 7245) → pair (4, 7245)
  5. 5 divides 28980 (28980 ÷ 5 = 5796) → pair (5, 5796)
  6. 6 divides 28980 (28980 ÷ 6 = 4830) → pair (6, 4830)
  7. 7 divides 28980 (28980 ÷ 7 = 4140) → pair (7, 4140)
  8. 9 divides 28980 (28980 ÷ 9 = 3220) → pair (9, 3220)
  9. 10 divides 28980 (28980 ÷ 10 = 2898) → pair (10, 2898)
  10. 12 divides 28980 (28980 ÷ 12 = 2415) → pair (12, 2415)
  11. 14 divides 28980 (28980 ÷ 14 = 2070) → pair (14, 2070)
  12. 15 divides 28980 (28980 ÷ 15 = 1932) → pair (15, 1932)
  13. 18 divides 28980 (28980 ÷ 18 = 1610) → pair (18, 1610)
  14. 20 divides 28980 (28980 ÷ 20 = 1449) → pair (20, 1449)
  15. 21 divides 28980 (28980 ÷ 21 = 1380) → pair (21, 1380)
  16. 23 divides 28980 (28980 ÷ 23 = 1260) → pair (23, 1260)
  17. 28 divides 28980 (28980 ÷ 28 = 1035) → pair (28, 1035)
  18. 30 divides 28980 (28980 ÷ 30 = 966) → pair (30, 966)
  19. 35 divides 28980 (28980 ÷ 35 = 828) → pair (35, 828)
  20. 36 divides 28980 (28980 ÷ 36 = 805) → pair (36, 805)
  21. 42 divides 28980 (28980 ÷ 42 = 690) → pair (42, 690)
  22. 45 divides 28980 (28980 ÷ 45 = 644) → pair (45, 644)
  23. 46 divides 28980 (28980 ÷ 46 = 630) → pair (46, 630)
  24. 60 divides 28980 (28980 ÷ 60 = 483) → pair (60, 483)
  25. 63 divides 28980 (28980 ÷ 63 = 460) → pair (63, 460)
  26. 69 divides 28980 (28980 ÷ 69 = 420) → pair (69, 420)
  27. 70 divides 28980 (28980 ÷ 70 = 414) → pair (70, 414)
  28. 84 divides 28980 (28980 ÷ 84 = 345) → pair (84, 345)
  29. 90 divides 28980 (28980 ÷ 90 = 322) → pair (90, 322)
  30. 92 divides 28980 (28980 ÷ 92 = 315) → pair (92, 315)
  31. 105 divides 28980 (28980 ÷ 105 = 276) → pair (105, 276)
  32. 115 divides 28980 (28980 ÷ 115 = 252) → pair (115, 252)
  33. 126 divides 28980 (28980 ÷ 126 = 230) → pair (126, 230)
  34. 138 divides 28980 (28980 ÷ 138 = 210) → pair (138, 210)
  35. 140 divides 28980 (28980 ÷ 140 = 207) → pair (140, 207)
  36. 161 divides 28980 (28980 ÷ 161 = 180) → pair (161, 180)
  37. Collect all unique values: {1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 23, 28, 30, 35, 36, 42, 45, 46, 60, 63, 69, 70, 84, 90, 92, 105, 115, 126, 138, 140, 161, 180, 207, 210, 230, 252, 276, 315, 322, 345, 414, 420, 460, 483, 630, 644, 690, 805, 828, 966, 1035, 1260, 1380, 1449, 1610, 1932, 2070, 2415, 2898, 3220, 4140, 4830, 5796, 7245, 9660, 14490, 28980} — total 72 divisors.
  38. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 9 + 10 + 12 + 14 + 15 + 18 + 20 + 21 + 23 + 28 + 30 + 35 + 36 + 42 + 45 + 46 + 60 + 63 + 69 + 70 + 84 + 90 + 92 + 105 + 115 + 126 + 138 + 140 + 161 + 180 + 207 + 210 + 230 + 252 + 276 + 315 + 322 + 345 + 414 + 420 + 460 + 483 + 630 + 644 + 690 + 805 + 828 + 966 + 1035 + 1260 + 1380 + 1449 + 1610 + 1932 + 2070 + 2415 + 2898 + 3220 + 4140 + 4830 + 5796 + 7245 + 9660 + 14490 + 28980 = 104832.

Nearby Examples

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

Related Operations for 28980

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