Divisors of 4320: All 48 Factors

Quick Answer

4320 has 48 divisors (factors): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 216, 240, 270, 288, 360, 432, 480, 540, 720, 864, 1080, 1440, 2160, 4320.

Sum: 15120.

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, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 216, 240, 270, 288, 360, 432, 480, 540, 720, 864, 1080, 1440, 2160, 4320

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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 4320

The number 4320 has 48 divisors:

1,  2,  3,  4,  5,  6,  8,  9,  10,  12,  15,  16,  18,  20,  24,  27,  30,  32,  36,  40,  45,  48,  54,  60,  72,  80,  90,  96,  108,  120,  135,  144,  160,  180,  216,  240,  270,  288,  360,  432,  480,  540,  720,  864,  1080,  1440,  2160,  4320

Divisor Pairs of 4320

Each pair multiplies to 4320:

Factor 1×Factor 2=Product
1×4320=4320
2×2160=4320
3×1440=4320
4×1080=4320
5×864=4320
6×720=4320
8×540=4320
9×480=4320
10×432=4320
12×360=4320
15×288=4320
16×270=4320
18×240=4320
20×216=4320
24×180=4320
27×160=4320
30×144=4320
32×135=4320
36×120=4320
40×108=4320
45×96=4320
48×90=4320
54×80=4320
60×72=4320

Number of Divisors

The number 4320 has 48 divisors, written as τ(4320) = 48 in number theory.

Sum of Divisors

σ(4320) = 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 18 + 20 + 24 + 27 + 30 + 32 + 36 + 40 + 45 + 48 + 54 + 60 + 72 + 80 + 90 + 96 + 108 + 120 + 135 + 144 + 160 + 180 + 216 + 240 + 270 + 288 + 360 + 432 + 480 + 540 + 720 + 864 + 1080 + 1440 + 2160 + 4320 = 15120

Prime Factorization of 4320

See the full prime factorization calculator →

Properties of 4320

  • 4320 is composite.
  • 4320 is not a perfect square.
  • Number of divisors: 48.
  • Sum of divisors: 15120.

Common Divisors with Another Number?

Looking for the divisors that 4320 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 4320

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √4320 ≈ 65.73. If i divides 4320, then both i and 4320/i are divisors.

  1. 1 divides 4320 (4320 ÷ 1 = 4320) → pair (1, 4320)
  2. 2 divides 4320 (4320 ÷ 2 = 2160) → pair (2, 2160)
  3. 3 divides 4320 (4320 ÷ 3 = 1440) → pair (3, 1440)
  4. 4 divides 4320 (4320 ÷ 4 = 1080) → pair (4, 1080)
  5. 5 divides 4320 (4320 ÷ 5 = 864) → pair (5, 864)
  6. 6 divides 4320 (4320 ÷ 6 = 720) → pair (6, 720)
  7. 8 divides 4320 (4320 ÷ 8 = 540) → pair (8, 540)
  8. 9 divides 4320 (4320 ÷ 9 = 480) → pair (9, 480)
  9. 10 divides 4320 (4320 ÷ 10 = 432) → pair (10, 432)
  10. 12 divides 4320 (4320 ÷ 12 = 360) → pair (12, 360)
  11. 15 divides 4320 (4320 ÷ 15 = 288) → pair (15, 288)
  12. 16 divides 4320 (4320 ÷ 16 = 270) → pair (16, 270)
  13. 18 divides 4320 (4320 ÷ 18 = 240) → pair (18, 240)
  14. 20 divides 4320 (4320 ÷ 20 = 216) → pair (20, 216)
  15. 24 divides 4320 (4320 ÷ 24 = 180) → pair (24, 180)
  16. 27 divides 4320 (4320 ÷ 27 = 160) → pair (27, 160)
  17. 30 divides 4320 (4320 ÷ 30 = 144) → pair (30, 144)
  18. 32 divides 4320 (4320 ÷ 32 = 135) → pair (32, 135)
  19. 36 divides 4320 (4320 ÷ 36 = 120) → pair (36, 120)
  20. 40 divides 4320 (4320 ÷ 40 = 108) → pair (40, 108)
  21. 45 divides 4320 (4320 ÷ 45 = 96) → pair (45, 96)
  22. 48 divides 4320 (4320 ÷ 48 = 90) → pair (48, 90)
  23. 54 divides 4320 (4320 ÷ 54 = 80) → pair (54, 80)
  24. 60 divides 4320 (4320 ÷ 60 = 72) → pair (60, 72)
  25. Collect all unique values: {1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 216, 240, 270, 288, 360, 432, 480, 540, 720, 864, 1080, 1440, 2160, 4320} — total 48 divisors.
  26. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 18 + 20 + 24 + 27 + 30 + 32 + 36 + 40 + 45 + 48 + 54 + 60 + 72 + 80 + 90 + 96 + 108 + 120 + 135 + 144 + 160 + 180 + 216 + 240 + 270 + 288 + 360 + 432 + 480 + 540 + 720 + 864 + 1080 + 1440 + 2160 + 4320 = 15120.

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Related Operations for 4320

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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