Divisors of 40560: All 60 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 40560

The number 40560 has 60 divisors:

1,  2,  3,  4,  5,  6,  8,  10,  12,  13,  15,  16,  20,  24,  26,  30,  39,  40,  48,  52,  60,  65,  78,  80,  104,  120,  130,  156,  169,  195,  208,  240,  260,  312,  338,  390,  507,  520,  624,  676,  780,  845,  1014,  1040,  1352,  1560,  1690,  2028,  2535,  2704,  3120,  3380,  4056,  5070,  6760,  8112,  10140,  13520,  20280,  40560

Divisor Pairs of 40560

Each pair multiplies to 40560:

Number of Divisors

The number 40560 has 60 divisors, written as τ(40560) = 60 in number theory.

Sum of Divisors

σ(40560) = 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 13 + 15 + 16 + 20 + 24 + 26 + 30 + 39 + 40 + 48 + 52 + 60 + 65 + 78 + 80 + 104 + 120 + 130 + 156 + 169 + 195 + 208 + 240 + 260 + 312 + 338 + 390 + 507 + 520 + 624 + 676 + 780 + 845 + 1014 + 1040 + 1352 + 1560 + 1690 + 2028 + 2535 + 2704 + 3120 + 3380 + 4056 + 5070 + 6760 + 8112 + 10140 + 13520 + 20280 + 40560 = 136152

Prime Factorization of 40560

See the full prime factorization calculator →

Properties of 40560

• 40560 is composite.
• 40560 is not a perfect square.
• Number of divisors: 60.
• Sum of divisors: 136152.

Common Divisors with Another Number?

Looking for the divisors that 40560 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 40560

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √40560 ≈ 201.40. If i divides 40560, then both i and 40560/i are divisors.

1. 1 divides 40560 (40560 ÷ 1 = 40560) → pair (1, 40560)
2. 2 divides 40560 (40560 ÷ 2 = 20280) → pair (2, 20280)
3. 3 divides 40560 (40560 ÷ 3 = 13520) → pair (3, 13520)
4. 4 divides 40560 (40560 ÷ 4 = 10140) → pair (4, 10140)
5. 5 divides 40560 (40560 ÷ 5 = 8112) → pair (5, 8112)
6. 6 divides 40560 (40560 ÷ 6 = 6760) → pair (6, 6760)
7. 8 divides 40560 (40560 ÷ 8 = 5070) → pair (8, 5070)
8. 10 divides 40560 (40560 ÷ 10 = 4056) → pair (10, 4056)
9. 12 divides 40560 (40560 ÷ 12 = 3380) → pair (12, 3380)
10. 13 divides 40560 (40560 ÷ 13 = 3120) → pair (13, 3120)
11. 15 divides 40560 (40560 ÷ 15 = 2704) → pair (15, 2704)
12. 16 divides 40560 (40560 ÷ 16 = 2535) → pair (16, 2535)
13. 20 divides 40560 (40560 ÷ 20 = 2028) → pair (20, 2028)
14. 24 divides 40560 (40560 ÷ 24 = 1690) → pair (24, 1690)
15. 26 divides 40560 (40560 ÷ 26 = 1560) → pair (26, 1560)
16. 30 divides 40560 (40560 ÷ 30 = 1352) → pair (30, 1352)
17. 39 divides 40560 (40560 ÷ 39 = 1040) → pair (39, 1040)
18. 40 divides 40560 (40560 ÷ 40 = 1014) → pair (40, 1014)
19. 48 divides 40560 (40560 ÷ 48 = 845) → pair (48, 845)
20. 52 divides 40560 (40560 ÷ 52 = 780) → pair (52, 780)
21. 60 divides 40560 (40560 ÷ 60 = 676) → pair (60, 676)
22. 65 divides 40560 (40560 ÷ 65 = 624) → pair (65, 624)
23. 78 divides 40560 (40560 ÷ 78 = 520) → pair (78, 520)
24. 80 divides 40560 (40560 ÷ 80 = 507) → pair (80, 507)
25. 104 divides 40560 (40560 ÷ 104 = 390) → pair (104, 390)
26. 120 divides 40560 (40560 ÷ 120 = 338) → pair (120, 338)
27. 130 divides 40560 (40560 ÷ 130 = 312) → pair (130, 312)
28. 156 divides 40560 (40560 ÷ 156 = 260) → pair (156, 260)
29. 169 divides 40560 (40560 ÷ 169 = 240) → pair (169, 240)
30. 195 divides 40560 (40560 ÷ 195 = 208) → pair (195, 208)
31. Collect all unique values: {1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 39, 40, 48, 52, 60, 65, 78, 80, 104, 120, 130, 156, 169, 195, 208, 240, 260, 312, 338, 390, 507, 520, 624, 676, 780, 845, 1014, 1040, 1352, 1560, 1690, 2028, 2535, 2704, 3120, 3380, 4056, 5070, 6760, 8112, 10140, 13520, 20280, 40560} — total 60 divisors.
32. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 13 + 15 + 16 + 20 + 24 + 26 + 30 + 39 + 40 + 48 + 52 + 60 + 65 + 78 + 80 + 104 + 120 + 130 + 156 + 169 + 195 + 208 + 240 + 260 + 312 + 338 + 390 + 507 + 520 + 624 + 676 + 780 + 845 + 1014 + 1040 + 1352 + 1560 + 1690 + 2028 + 2535 + 2704 + 3120 + 3380 + 4056 + 5070 + 6760 + 8112 + 10140 + 13520 + 20280 + 40560 = 136152.

Nearby Examples

Related Operations for 40560

• Multiples of a Number — "outward" complement of divisors
• 40560 Prime Factorization — decompose into prime building blocks
• Find GCF of 40560 and another number
• Find LCM of 40560 and another number
• Is 40560 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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