Divisors of 47040: All 84 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 47040

The number 47040 has 84 divisors:

1,  2,  3,  4,  5,  6,  7,  8,  10,  12,  14,  15,  16,  20,  21,  24,  28,  30,  32,  35,  40,  42,  48,  49,  56,  60,  64,  70,  80,  84,  96,  98,  105,  112,  120,  140,  147,  160,  168,  192,  196,  210,  224,  240,  245,  280,  294,  320,  336,  392,  420,  448,  480,  490,  560,  588,  672,  735,  784,  840,  960,  980,  1120,  1176,  1344,  1470,  1568,  1680,  1960,  2240,  2352,  2940,  3136,  3360,  3920,  4704,  5880,  6720,  7840,  9408,  11760,  15680,  23520,  47040

Divisor Pairs of 47040

Each pair multiplies to 47040:

Number of Divisors

The number 47040 has 84 divisors, written as τ(47040) = 84 in number theory.

Sum of Divisors

σ(47040) = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 10 + 12 + 14 + 15 + 16 + 20 + 21 + 24 + 28 + 30 + 32 + 35 + 40 + 42 + 48 + 49 + 56 + 60 + 64 + 70 + 80 + 84 + 96 + 98 + 105 + 112 + 120 + 140 + 147 + 160 + 168 + 192 + 196 + 210 + 224 + 240 + 245 + 280 + 294 + 320 + 336 + 392 + 420 + 448 + 480 + 490 + 560 + 588 + 672 + 735 + 784 + 840 + 960 + 980 + 1120 + 1176 + 1344 + 1470 + 1568 + 1680 + 1960 + 2240 + 2352 + 2940 + 3136 + 3360 + 3920 + 4704 + 5880 + 6720 + 7840 + 9408 + 11760 + 15680 + 23520 + 47040 = 173736

Prime Factorization of 47040

See the full prime factorization calculator →

Properties of 47040

• 47040 is composite.
• 47040 is not a perfect square.
• Number of divisors: 84.
• Sum of divisors: 173736.

Common Divisors with Another Number?

Looking for the divisors that 47040 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 47040

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √47040 ≈ 216.89. If i divides 47040, then both i and 47040/i are divisors.

1. 1 divides 47040 (47040 ÷ 1 = 47040) → pair (1, 47040)
2. 2 divides 47040 (47040 ÷ 2 = 23520) → pair (2, 23520)
3. 3 divides 47040 (47040 ÷ 3 = 15680) → pair (3, 15680)
4. 4 divides 47040 (47040 ÷ 4 = 11760) → pair (4, 11760)
5. 5 divides 47040 (47040 ÷ 5 = 9408) → pair (5, 9408)
6. 6 divides 47040 (47040 ÷ 6 = 7840) → pair (6, 7840)
7. 7 divides 47040 (47040 ÷ 7 = 6720) → pair (7, 6720)
8. 8 divides 47040 (47040 ÷ 8 = 5880) → pair (8, 5880)
9. 10 divides 47040 (47040 ÷ 10 = 4704) → pair (10, 4704)
10. 12 divides 47040 (47040 ÷ 12 = 3920) → pair (12, 3920)
11. 14 divides 47040 (47040 ÷ 14 = 3360) → pair (14, 3360)
12. 15 divides 47040 (47040 ÷ 15 = 3136) → pair (15, 3136)
13. 16 divides 47040 (47040 ÷ 16 = 2940) → pair (16, 2940)
14. 20 divides 47040 (47040 ÷ 20 = 2352) → pair (20, 2352)
15. 21 divides 47040 (47040 ÷ 21 = 2240) → pair (21, 2240)
16. 24 divides 47040 (47040 ÷ 24 = 1960) → pair (24, 1960)
17. 28 divides 47040 (47040 ÷ 28 = 1680) → pair (28, 1680)
18. 30 divides 47040 (47040 ÷ 30 = 1568) → pair (30, 1568)
19. 32 divides 47040 (47040 ÷ 32 = 1470) → pair (32, 1470)
20. 35 divides 47040 (47040 ÷ 35 = 1344) → pair (35, 1344)
21. 40 divides 47040 (47040 ÷ 40 = 1176) → pair (40, 1176)
22. 42 divides 47040 (47040 ÷ 42 = 1120) → pair (42, 1120)
23. 48 divides 47040 (47040 ÷ 48 = 980) → pair (48, 980)
24. 49 divides 47040 (47040 ÷ 49 = 960) → pair (49, 960)
25. 56 divides 47040 (47040 ÷ 56 = 840) → pair (56, 840)
26. 60 divides 47040 (47040 ÷ 60 = 784) → pair (60, 784)
27. 64 divides 47040 (47040 ÷ 64 = 735) → pair (64, 735)
28. 70 divides 47040 (47040 ÷ 70 = 672) → pair (70, 672)
29. 80 divides 47040 (47040 ÷ 80 = 588) → pair (80, 588)
30. 84 divides 47040 (47040 ÷ 84 = 560) → pair (84, 560)
31. 96 divides 47040 (47040 ÷ 96 = 490) → pair (96, 490)
32. 98 divides 47040 (47040 ÷ 98 = 480) → pair (98, 480)
33. 105 divides 47040 (47040 ÷ 105 = 448) → pair (105, 448)
34. 112 divides 47040 (47040 ÷ 112 = 420) → pair (112, 420)
35. 120 divides 47040 (47040 ÷ 120 = 392) → pair (120, 392)
36. 140 divides 47040 (47040 ÷ 140 = 336) → pair (140, 336)
37. 147 divides 47040 (47040 ÷ 147 = 320) → pair (147, 320)
38. 160 divides 47040 (47040 ÷ 160 = 294) → pair (160, 294)
39. 168 divides 47040 (47040 ÷ 168 = 280) → pair (168, 280)
40. 192 divides 47040 (47040 ÷ 192 = 245) → pair (192, 245)
41. 196 divides 47040 (47040 ÷ 196 = 240) → pair (196, 240)
42. 210 divides 47040 (47040 ÷ 210 = 224) → pair (210, 224)
43. Collect all unique values: {1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 49, 56, 60, 64, 70, 80, 84, 96, 98, 105, 112, 120, 140, 147, 160, 168, 192, 196, 210, 224, 240, 245, 280, 294, 320, 336, 392, 420, 448, 480, 490, 560, 588, 672, 735, 784, 840, 960, 980, 1120, 1176, 1344, 1470, 1568, 1680, 1960, 2240, 2352, 2940, 3136, 3360, 3920, 4704, 5880, 6720, 7840, 9408, 11760, 15680, 23520, 47040} — total 84 divisors.
44. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 10 + 12 + 14 + 15 + 16 + 20 + 21 + 24 + 28 + 30 + 32 + 35 + 40 + 42 + 48 + 49 + 56 + 60 + 64 + 70 + 80 + 84 + 96 + 98 + 105 + 112 + 120 + 140 + 147 + 160 + 168 + 192 + 196 + 210 + 224 + 240 + 245 + 280 + 294 + 320 + 336 + 392 + 420 + 448 + 480 + 490 + 560 + 588 + 672 + 735 + 784 + 840 + 960 + 980 + 1120 + 1176 + 1344 + 1470 + 1568 + 1680 + 1960 + 2240 + 2352 + 2940 + 3136 + 3360 + 3920 + 4704 + 5880 + 6720 + 7840 + 9408 + 11760 + 15680 + 23520 + 47040 = 173736.

Nearby Examples

Related Operations for 47040

• Multiples of a Number — "outward" complement of divisors
• 47040 Prime Factorization — decompose into prime building blocks
• Find GCF of 47040 and another number
• Find LCM of 47040 and another number
• Is 47040 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

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