Divisors of 47520: All 96 Factors

Divisors (Factors) Calculator

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 47520

The number 47520 has 96 divisors:

1,  2,  3,  4,  5,  6,  8,  9,  10,  11,  12,  15,  16,  18,  20,  22,  24,  27,  30,  32,  33,  36,  40,  44,  45,  48,  54,  55,  60,  66,  72,  80,  88,  90,  96,  99,  108,  110,  120,  132,  135,  144,  160,  165,  176,  180,  198,  216,  220,  240,  264,  270,  288,  297,  330,  352,  360,  396,  432,  440,  480,  495,  528,  540,  594,  660,  720,  792,  864,  880,  990,  1056,  1080,  1188,  1320,  1440,  1485,  1584,  1760,  1980,  2160,  2376,  2640,  2970,  3168,  3960,  4320,  4752,  5280,  5940,  7920,  9504,  11880,  15840,  23760,  47520

Divisor Pairs of 47520

Each pair multiplies to 47520:

Number of Divisors

The number 47520 has 96 divisors, written as τ(47520) = 96 in number theory.

Sum of Divisors

σ(47520) = 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 11 + 12 + 15 + 16 + 18 + 20 + 22 + 24 + 27 + 30 + 32 + 33 + 36 + 40 + 44 + 45 + 48 + 54 + 55 + 60 + 66 + 72 + 80 + 88 + 90 + 96 + 99 + 108 + 110 + 120 + 132 + 135 + 144 + 160 + 165 + 176 + 180 + 198 + 216 + 220 + 240 + 264 + 270 + 288 + 297 + 330 + 352 + 360 + 396 + 432 + 440 + 480 + 495 + 528 + 540 + 594 + 660 + 720 + 792 + 864 + 880 + 990 + 1056 + 1080 + 1188 + 1320 + 1440 + 1485 + 1584 + 1760 + 1980 + 2160 + 2376 + 2640 + 2970 + 3168 + 3960 + 4320 + 4752 + 5280 + 5940 + 7920 + 9504 + 11880 + 15840 + 23760 + 47520 = 181440

Prime Factorization of 47520

See the full prime factorization calculator →

Properties of 47520

• 47520 is composite.
• 47520 is not a perfect square.
• Number of divisors: 96.
• Sum of divisors: 181440.

Common Divisors with Another Number?

Looking for the divisors that 47520 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 47520

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √47520 ≈ 217.99. If i divides 47520, then both i and 47520/i are divisors.

1. 1 divides 47520 (47520 ÷ 1 = 47520) → pair (1, 47520)
2. 2 divides 47520 (47520 ÷ 2 = 23760) → pair (2, 23760)
3. 3 divides 47520 (47520 ÷ 3 = 15840) → pair (3, 15840)
4. 4 divides 47520 (47520 ÷ 4 = 11880) → pair (4, 11880)
5. 5 divides 47520 (47520 ÷ 5 = 9504) → pair (5, 9504)
6. 6 divides 47520 (47520 ÷ 6 = 7920) → pair (6, 7920)
7. 8 divides 47520 (47520 ÷ 8 = 5940) → pair (8, 5940)
8. 9 divides 47520 (47520 ÷ 9 = 5280) → pair (9, 5280)
9. 10 divides 47520 (47520 ÷ 10 = 4752) → pair (10, 4752)
10. 11 divides 47520 (47520 ÷ 11 = 4320) → pair (11, 4320)
11. 12 divides 47520 (47520 ÷ 12 = 3960) → pair (12, 3960)
12. 15 divides 47520 (47520 ÷ 15 = 3168) → pair (15, 3168)
13. 16 divides 47520 (47520 ÷ 16 = 2970) → pair (16, 2970)
14. 18 divides 47520 (47520 ÷ 18 = 2640) → pair (18, 2640)
15. 20 divides 47520 (47520 ÷ 20 = 2376) → pair (20, 2376)
16. 22 divides 47520 (47520 ÷ 22 = 2160) → pair (22, 2160)
17. 24 divides 47520 (47520 ÷ 24 = 1980) → pair (24, 1980)
18. 27 divides 47520 (47520 ÷ 27 = 1760) → pair (27, 1760)
19. 30 divides 47520 (47520 ÷ 30 = 1584) → pair (30, 1584)
20. 32 divides 47520 (47520 ÷ 32 = 1485) → pair (32, 1485)
21. 33 divides 47520 (47520 ÷ 33 = 1440) → pair (33, 1440)
22. 36 divides 47520 (47520 ÷ 36 = 1320) → pair (36, 1320)
23. 40 divides 47520 (47520 ÷ 40 = 1188) → pair (40, 1188)
24. 44 divides 47520 (47520 ÷ 44 = 1080) → pair (44, 1080)
25. 45 divides 47520 (47520 ÷ 45 = 1056) → pair (45, 1056)
26. 48 divides 47520 (47520 ÷ 48 = 990) → pair (48, 990)
27. 54 divides 47520 (47520 ÷ 54 = 880) → pair (54, 880)
28. 55 divides 47520 (47520 ÷ 55 = 864) → pair (55, 864)
29. 60 divides 47520 (47520 ÷ 60 = 792) → pair (60, 792)
30. 66 divides 47520 (47520 ÷ 66 = 720) → pair (66, 720)
31. 72 divides 47520 (47520 ÷ 72 = 660) → pair (72, 660)
32. 80 divides 47520 (47520 ÷ 80 = 594) → pair (80, 594)
33. 88 divides 47520 (47520 ÷ 88 = 540) → pair (88, 540)
34. 90 divides 47520 (47520 ÷ 90 = 528) → pair (90, 528)
35. 96 divides 47520 (47520 ÷ 96 = 495) → pair (96, 495)
36. 99 divides 47520 (47520 ÷ 99 = 480) → pair (99, 480)
37. 108 divides 47520 (47520 ÷ 108 = 440) → pair (108, 440)
38. 110 divides 47520 (47520 ÷ 110 = 432) → pair (110, 432)
39. 120 divides 47520 (47520 ÷ 120 = 396) → pair (120, 396)
40. 132 divides 47520 (47520 ÷ 132 = 360) → pair (132, 360)
41. 135 divides 47520 (47520 ÷ 135 = 352) → pair (135, 352)
42. 144 divides 47520 (47520 ÷ 144 = 330) → pair (144, 330)
43. 160 divides 47520 (47520 ÷ 160 = 297) → pair (160, 297)
44. 165 divides 47520 (47520 ÷ 165 = 288) → pair (165, 288)
45. 176 divides 47520 (47520 ÷ 176 = 270) → pair (176, 270)
46. 180 divides 47520 (47520 ÷ 180 = 264) → pair (180, 264)
47. 198 divides 47520 (47520 ÷ 198 = 240) → pair (198, 240)
48. 216 divides 47520 (47520 ÷ 216 = 220) → pair (216, 220)
49. Collect all unique values: {1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 27, 30, 32, 33, 36, 40, 44, 45, 48, 54, 55, 60, 66, 72, 80, 88, 90, 96, 99, 108, 110, 120, 132, 135, 144, 160, 165, 176, 180, 198, 216, 220, 240, 264, 270, 288, 297, 330, 352, 360, 396, 432, 440, 480, 495, 528, 540, 594, 660, 720, 792, 864, 880, 990, 1056, 1080, 1188, 1320, 1440, 1485, 1584, 1760, 1980, 2160, 2376, 2640, 2970, 3168, 3960, 4320, 4752, 5280, 5940, 7920, 9504, 11880, 15840, 23760, 47520} — total 96 divisors.
50. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 11 + 12 + 15 + 16 + 18 + 20 + 22 + 24 + 27 + 30 + 32 + 33 + 36 + 40 + 44 + 45 + 48 + 54 + 55 + 60 + 66 + 72 + 80 + 88 + 90 + 96 + 99 + 108 + 110 + 120 + 132 + 135 + 144 + 160 + 165 + 176 + 180 + 198 + 216 + 220 + 240 + 264 + 270 + 288 + 297 + 330 + 352 + 360 + 396 + 432 + 440 + 480 + 495 + 528 + 540 + 594 + 660 + 720 + 792 + 864 + 880 + 990 + 1056 + 1080 + 1188 + 1320 + 1440 + 1485 + 1584 + 1760 + 1980 + 2160 + 2376 + 2640 + 2970 + 3168 + 3960 + 4320 + 4752 + 5280 + 5940 + 7920 + 9504 + 11880 + 15840 + 23760 + 47520 = 181440.

Nearby Examples

Related Operations for 47520

• Multiples of a Number — "outward" complement of divisors
• 47520 Prime Factorization — decompose into prime building blocks
• Find GCF of 47520 and another number
• Find LCM of 47520 and another number
• Is 47520 a perfect square? (odd divisor count ⇔ yes)

See also our tables of divisors:

• Table of all divisors from 1 to 100
• Table of all divisors from 1 to 500
• Table of all divisors from 1 to 1,000
• Table of all divisors from 1 to 10,000

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

• [1] Divisor (Wikipedia)
• [2] Divisor function (Wikipedia)
• [3] Divisor (Wolfram MathWorld)

Divisors Calculation Examples

Find all divisors of these numbers: