Divisors of 26040: 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 26040

The number 26040 has 64 divisors:

1,  2,  3,  4,  5,  6,  7,  8,  10,  12,  14,  15,  20,  21,  24,  28,  30,  31,  35,  40,  42,  56,  60,  62,  70,  84,  93,  105,  120,  124,  140,  155,  168,  186,  210,  217,  248,  280,  310,  372,  420,  434,  465,  620,  651,  744,  840,  868,  930,  1085,  1240,  1302,  1736,  1860,  2170,  2604,  3255,  3720,  4340,  5208,  6510,  8680,  13020,  26040

Divisor Pairs of 26040

Each pair multiplies to 26040:

Number of Divisors

The number 26040 has 64 divisors, written as τ(26040) = 64 in number theory.

Sum of Divisors

σ(26040) = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 10 + 12 + 14 + 15 + 20 + 21 + 24 + 28 + 30 + 31 + 35 + 40 + 42 + 56 + 60 + 62 + 70 + 84 + 93 + 105 + 120 + 124 + 140 + 155 + 168 + 186 + 210 + 217 + 248 + 280 + 310 + 372 + 420 + 434 + 465 + 620 + 651 + 744 + 840 + 868 + 930 + 1085 + 1240 + 1302 + 1736 + 1860 + 2170 + 2604 + 3255 + 3720 + 4340 + 5208 + 6510 + 8680 + 13020 + 26040 = 92160

Prime Factorization of 26040

See the full prime factorization calculator →

Properties of 26040

• 26040 is composite.
• 26040 is not a perfect square.
• Number of divisors: 64.
• Sum of divisors: 92160.

Common Divisors with Another Number?

Looking for the divisors that 26040 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 26040

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √26040 ≈ 161.37. If i divides 26040, then both i and 26040/i are divisors.

1. 1 divides 26040 (26040 ÷ 1 = 26040) → pair (1, 26040)
2. 2 divides 26040 (26040 ÷ 2 = 13020) → pair (2, 13020)
3. 3 divides 26040 (26040 ÷ 3 = 8680) → pair (3, 8680)
4. 4 divides 26040 (26040 ÷ 4 = 6510) → pair (4, 6510)
5. 5 divides 26040 (26040 ÷ 5 = 5208) → pair (5, 5208)
6. 6 divides 26040 (26040 ÷ 6 = 4340) → pair (6, 4340)
7. 7 divides 26040 (26040 ÷ 7 = 3720) → pair (7, 3720)
8. 8 divides 26040 (26040 ÷ 8 = 3255) → pair (8, 3255)
9. 10 divides 26040 (26040 ÷ 10 = 2604) → pair (10, 2604)
10. 12 divides 26040 (26040 ÷ 12 = 2170) → pair (12, 2170)
11. 14 divides 26040 (26040 ÷ 14 = 1860) → pair (14, 1860)
12. 15 divides 26040 (26040 ÷ 15 = 1736) → pair (15, 1736)
13. 20 divides 26040 (26040 ÷ 20 = 1302) → pair (20, 1302)
14. 21 divides 26040 (26040 ÷ 21 = 1240) → pair (21, 1240)
15. 24 divides 26040 (26040 ÷ 24 = 1085) → pair (24, 1085)
16. 28 divides 26040 (26040 ÷ 28 = 930) → pair (28, 930)
17. 30 divides 26040 (26040 ÷ 30 = 868) → pair (30, 868)
18. 31 divides 26040 (26040 ÷ 31 = 840) → pair (31, 840)
19. 35 divides 26040 (26040 ÷ 35 = 744) → pair (35, 744)
20. 40 divides 26040 (26040 ÷ 40 = 651) → pair (40, 651)
21. 42 divides 26040 (26040 ÷ 42 = 620) → pair (42, 620)
22. 56 divides 26040 (26040 ÷ 56 = 465) → pair (56, 465)
23. 60 divides 26040 (26040 ÷ 60 = 434) → pair (60, 434)
24. 62 divides 26040 (26040 ÷ 62 = 420) → pair (62, 420)
25. 70 divides 26040 (26040 ÷ 70 = 372) → pair (70, 372)
26. 84 divides 26040 (26040 ÷ 84 = 310) → pair (84, 310)
27. 93 divides 26040 (26040 ÷ 93 = 280) → pair (93, 280)
28. 105 divides 26040 (26040 ÷ 105 = 248) → pair (105, 248)
29. 120 divides 26040 (26040 ÷ 120 = 217) → pair (120, 217)
30. 124 divides 26040 (26040 ÷ 124 = 210) → pair (124, 210)
31. 140 divides 26040 (26040 ÷ 140 = 186) → pair (140, 186)
32. 155 divides 26040 (26040 ÷ 155 = 168) → pair (155, 168)
33. Collect all unique values: {1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 31, 35, 40, 42, 56, 60, 62, 70, 84, 93, 105, 120, 124, 140, 155, 168, 186, 210, 217, 248, 280, 310, 372, 420, 434, 465, 620, 651, 744, 840, 868, 930, 1085, 1240, 1302, 1736, 1860, 2170, 2604, 3255, 3720, 4340, 5208, 6510, 8680, 13020, 26040} — total 64 divisors.
34. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 10 + 12 + 14 + 15 + 20 + 21 + 24 + 28 + 30 + 31 + 35 + 40 + 42 + 56 + 60 + 62 + 70 + 84 + 93 + 105 + 120 + 124 + 140 + 155 + 168 + 186 + 210 + 217 + 248 + 280 + 310 + 372 + 420 + 434 + 465 + 620 + 651 + 744 + 840 + 868 + 930 + 1085 + 1240 + 1302 + 1736 + 1860 + 2170 + 2604 + 3255 + 3720 + 4340 + 5208 + 6510 + 8680 + 13020 + 26040 = 92160.

Nearby Examples

Related Operations for 26040

• Multiples of a Number — "outward" complement of divisors
• 26040 Prime Factorization — decompose into prime building blocks
• Find GCF of 26040 and another number
• Find LCM of 26040 and another number
• Is 26040 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: