Divisors of 43320: All 48 Factors

Quick Answer

43320 has 48 divisors (factors): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 24, 30, 38, 40, 57, 60, 76, 95, 114, 120, 152, 190, 228, 285, 361, 380, 456, 570, 722, 760, 1083, 1140, 1444, 1805, 2166, 2280, 2888, 3610, 4332, 5415, 7220, 8664, 10830, 14440, 21660, 43320.

Sum: 137160.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

  Ex.: 12, 36, 100, 1024, 1728, etc.
48 divisors
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 24, 30, 38, 40, 57, 60, 76, 95, 114, 120, 152, 190, 228, 285, 361, 380, 456, 570, 722, 760, 1083, 1140, 1444, 1805, 2166, 2280, 2888, 3610, 4332, 5415, 7220, 8664, 10830, 14440, 21660, 43320

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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 43320

The number 43320 has 48 divisors:

1,  2,  3,  4,  5,  6,  8,  10,  12,  15,  19,  20,  24,  30,  38,  40,  57,  60,  76,  95,  114,  120,  152,  190,  228,  285,  361,  380,  456,  570,  722,  760,  1083,  1140,  1444,  1805,  2166,  2280,  2888,  3610,  4332,  5415,  7220,  8664,  10830,  14440,  21660,  43320

Divisor Pairs of 43320

Each pair multiplies to 43320:

Factor 1×Factor 2=Product
1×43320=43320
2×21660=43320
3×14440=43320
4×10830=43320
5×8664=43320
6×7220=43320
8×5415=43320
10×4332=43320
12×3610=43320
15×2888=43320
19×2280=43320
20×2166=43320
24×1805=43320
30×1444=43320
38×1140=43320
40×1083=43320
57×760=43320
60×722=43320
76×570=43320
95×456=43320
114×380=43320
120×361=43320
152×285=43320
190×228=43320

Number of Divisors

The number 43320 has 48 divisors, written as τ(43320) = 48 in number theory.

Sum of Divisors

σ(43320) = 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 19 + 20 + 24 + 30 + 38 + 40 + 57 + 60 + 76 + 95 + 114 + 120 + 152 + 190 + 228 + 285 + 361 + 380 + 456 + 570 + 722 + 760 + 1083 + 1140 + 1444 + 1805 + 2166 + 2280 + 2888 + 3610 + 4332 + 5415 + 7220 + 8664 + 10830 + 14440 + 21660 + 43320 = 137160

Prime Factorization of 43320

See the full prime factorization calculator →

Properties of 43320

  • 43320 is composite.
  • 43320 is not a perfect square.
  • Number of divisors: 48.
  • Sum of divisors: 137160.

Common Divisors with Another Number?

Looking for the divisors that 43320 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 43320

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √43320 ≈ 208.13. If i divides 43320, then both i and 43320/i are divisors.

  1. 1 divides 43320 (43320 ÷ 1 = 43320) → pair (1, 43320)
  2. 2 divides 43320 (43320 ÷ 2 = 21660) → pair (2, 21660)
  3. 3 divides 43320 (43320 ÷ 3 = 14440) → pair (3, 14440)
  4. 4 divides 43320 (43320 ÷ 4 = 10830) → pair (4, 10830)
  5. 5 divides 43320 (43320 ÷ 5 = 8664) → pair (5, 8664)
  6. 6 divides 43320 (43320 ÷ 6 = 7220) → pair (6, 7220)
  7. 8 divides 43320 (43320 ÷ 8 = 5415) → pair (8, 5415)
  8. 10 divides 43320 (43320 ÷ 10 = 4332) → pair (10, 4332)
  9. 12 divides 43320 (43320 ÷ 12 = 3610) → pair (12, 3610)
  10. 15 divides 43320 (43320 ÷ 15 = 2888) → pair (15, 2888)
  11. 19 divides 43320 (43320 ÷ 19 = 2280) → pair (19, 2280)
  12. 20 divides 43320 (43320 ÷ 20 = 2166) → pair (20, 2166)
  13. 24 divides 43320 (43320 ÷ 24 = 1805) → pair (24, 1805)
  14. 30 divides 43320 (43320 ÷ 30 = 1444) → pair (30, 1444)
  15. 38 divides 43320 (43320 ÷ 38 = 1140) → pair (38, 1140)
  16. 40 divides 43320 (43320 ÷ 40 = 1083) → pair (40, 1083)
  17. 57 divides 43320 (43320 ÷ 57 = 760) → pair (57, 760)
  18. 60 divides 43320 (43320 ÷ 60 = 722) → pair (60, 722)
  19. 76 divides 43320 (43320 ÷ 76 = 570) → pair (76, 570)
  20. 95 divides 43320 (43320 ÷ 95 = 456) → pair (95, 456)
  21. 114 divides 43320 (43320 ÷ 114 = 380) → pair (114, 380)
  22. 120 divides 43320 (43320 ÷ 120 = 361) → pair (120, 361)
  23. 152 divides 43320 (43320 ÷ 152 = 285) → pair (152, 285)
  24. 190 divides 43320 (43320 ÷ 190 = 228) → pair (190, 228)
  25. Collect all unique values: {1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 24, 30, 38, 40, 57, 60, 76, 95, 114, 120, 152, 190, 228, 285, 361, 380, 456, 570, 722, 760, 1083, 1140, 1444, 1805, 2166, 2280, 2888, 3610, 4332, 5415, 7220, 8664, 10830, 14440, 21660, 43320} — total 48 divisors.
  26. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 19 + 20 + 24 + 30 + 38 + 40 + 57 + 60 + 76 + 95 + 114 + 120 + 152 + 190 + 228 + 285 + 361 + 380 + 456 + 570 + 722 + 760 + 1083 + 1140 + 1444 + 1805 + 2166 + 2280 + 2888 + 3610 + 4332 + 5415 + 7220 + 8664 + 10830 + 14440 + 21660 + 43320 = 137160.

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Related Operations for 43320

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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