Divisors of 71040: All 64 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 71040

The number 71040 has 64 divisors:

1,  2,  3,  4,  5,  6,  8,  10,  12,  15,  16,  20,  24,  30,  32,  37,  40,  48,  60,  64,  74,  80,  96,  111,  120,  128,  148,  160,  185,  192,  222,  240,  296,  320,  370,  384,  444,  480,  555,  592,  640,  740,  888,  960,  1110,  1184,  1480,  1776,  1920,  2220,  2368,  2960,  3552,  4440,  4736,  5920,  7104,  8880,  11840,  14208,  17760,  23680,  35520,  71040

Divisor Pairs of 71040

Each pair multiplies to 71040:

Number of Divisors

The number 71040 has 64 divisors, written as τ(71040) = 64 in number theory.

Sum of Divisors

σ(71040) = 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 16 + 20 + 24 + 30 + 32 + 37 + 40 + 48 + 60 + 64 + 74 + 80 + 96 + 111 + 120 + 128 + 148 + 160 + 185 + 192 + 222 + 240 + 296 + 320 + 370 + 384 + 444 + 480 + 555 + 592 + 640 + 740 + 888 + 960 + 1110 + 1184 + 1480 + 1776 + 1920 + 2220 + 2368 + 2960 + 3552 + 4440 + 4736 + 5920 + 7104 + 8880 + 11840 + 14208 + 17760 + 23680 + 35520 + 71040 = 232560

Prime Factorization of 71040

See the full prime factorization calculator →

Properties of 71040

• 71040 is composite.
• 71040 is not a perfect square.
• Number of divisors: 64.
• Sum of divisors: 232560.

Common Divisors with Another Number?

Looking for the divisors that 71040 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 71040

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √71040 ≈ 266.53. If i divides 71040, then both i and 71040/i are divisors.

1. 1 divides 71040 (71040 ÷ 1 = 71040) → pair (1, 71040)
2. 2 divides 71040 (71040 ÷ 2 = 35520) → pair (2, 35520)
3. 3 divides 71040 (71040 ÷ 3 = 23680) → pair (3, 23680)
4. 4 divides 71040 (71040 ÷ 4 = 17760) → pair (4, 17760)
5. 5 divides 71040 (71040 ÷ 5 = 14208) → pair (5, 14208)
6. 6 divides 71040 (71040 ÷ 6 = 11840) → pair (6, 11840)
7. 8 divides 71040 (71040 ÷ 8 = 8880) → pair (8, 8880)
8. 10 divides 71040 (71040 ÷ 10 = 7104) → pair (10, 7104)
9. 12 divides 71040 (71040 ÷ 12 = 5920) → pair (12, 5920)
10. 15 divides 71040 (71040 ÷ 15 = 4736) → pair (15, 4736)
11. 16 divides 71040 (71040 ÷ 16 = 4440) → pair (16, 4440)
12. 20 divides 71040 (71040 ÷ 20 = 3552) → pair (20, 3552)
13. 24 divides 71040 (71040 ÷ 24 = 2960) → pair (24, 2960)
14. 30 divides 71040 (71040 ÷ 30 = 2368) → pair (30, 2368)
15. 32 divides 71040 (71040 ÷ 32 = 2220) → pair (32, 2220)
16. 37 divides 71040 (71040 ÷ 37 = 1920) → pair (37, 1920)
17. 40 divides 71040 (71040 ÷ 40 = 1776) → pair (40, 1776)
18. 48 divides 71040 (71040 ÷ 48 = 1480) → pair (48, 1480)
19. 60 divides 71040 (71040 ÷ 60 = 1184) → pair (60, 1184)
20. 64 divides 71040 (71040 ÷ 64 = 1110) → pair (64, 1110)
21. 74 divides 71040 (71040 ÷ 74 = 960) → pair (74, 960)
22. 80 divides 71040 (71040 ÷ 80 = 888) → pair (80, 888)
23. 96 divides 71040 (71040 ÷ 96 = 740) → pair (96, 740)
24. 111 divides 71040 (71040 ÷ 111 = 640) → pair (111, 640)
25. 120 divides 71040 (71040 ÷ 120 = 592) → pair (120, 592)
26. 128 divides 71040 (71040 ÷ 128 = 555) → pair (128, 555)
27. 148 divides 71040 (71040 ÷ 148 = 480) → pair (148, 480)
28. 160 divides 71040 (71040 ÷ 160 = 444) → pair (160, 444)
29. 185 divides 71040 (71040 ÷ 185 = 384) → pair (185, 384)
30. 192 divides 71040 (71040 ÷ 192 = 370) → pair (192, 370)
31. 222 divides 71040 (71040 ÷ 222 = 320) → pair (222, 320)
32. 240 divides 71040 (71040 ÷ 240 = 296) → pair (240, 296)
33. Collect all unique values: {1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 37, 40, 48, 60, 64, 74, 80, 96, 111, 120, 128, 148, 160, 185, 192, 222, 240, 296, 320, 370, 384, 444, 480, 555, 592, 640, 740, 888, 960, 1110, 1184, 1480, 1776, 1920, 2220, 2368, 2960, 3552, 4440, 4736, 5920, 7104, 8880, 11840, 14208, 17760, 23680, 35520, 71040} — total 64 divisors.
34. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 16 + 20 + 24 + 30 + 32 + 37 + 40 + 48 + 60 + 64 + 74 + 80 + 96 + 111 + 120 + 128 + 148 + 160 + 185 + 192 + 222 + 240 + 296 + 320 + 370 + 384 + 444 + 480 + 555 + 592 + 640 + 740 + 888 + 960 + 1110 + 1184 + 1480 + 1776 + 1920 + 2220 + 2368 + 2960 + 3552 + 4440 + 4736 + 5920 + 7104 + 8880 + 11840 + 14208 + 17760 + 23680 + 35520 + 71040 = 232560.

Nearby Examples

Related Operations for 71040

• Multiples of a Number — "outward" complement of divisors
• 71040 Prime Factorization — decompose into prime building blocks
• Find GCF of 71040 and another number
• Find LCM of 71040 and another number
• Is 71040 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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