Divisors of 29520: 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 29520

The number 29520 has 60 divisors:

1,  2,  3,  4,  5,  6,  8,  9,  10,  12,  15,  16,  18,  20,  24,  30,  36,  40,  41,  45,  48,  60,  72,  80,  82,  90,  120,  123,  144,  164,  180,  205,  240,  246,  328,  360,  369,  410,  492,  615,  656,  720,  738,  820,  984,  1230,  1476,  1640,  1845,  1968,  2460,  2952,  3280,  3690,  4920,  5904,  7380,  9840,  14760,  29520

Divisor Pairs of 29520

Each pair multiplies to 29520:

Number of Divisors

The number 29520 has 60 divisors, written as τ(29520) = 60 in number theory.

Sum of Divisors

σ(29520) = 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 18 + 20 + 24 + 30 + 36 + 40 + 41 + 45 + 48 + 60 + 72 + 80 + 82 + 90 + 120 + 123 + 144 + 164 + 180 + 205 + 240 + 246 + 328 + 360 + 369 + 410 + 492 + 615 + 656 + 720 + 738 + 820 + 984 + 1230 + 1476 + 1640 + 1845 + 1968 + 2460 + 2952 + 3280 + 3690 + 4920 + 5904 + 7380 + 9840 + 14760 + 29520 = 101556

Prime Factorization of 29520

See the full prime factorization calculator →

Properties of 29520

• 29520 is composite.
• 29520 is not a perfect square.
• Number of divisors: 60.
• Sum of divisors: 101556.

Common Divisors with Another Number?

Looking for the divisors that 29520 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 29520

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √29520 ≈ 171.81. If i divides 29520, then both i and 29520/i are divisors.

1. 1 divides 29520 (29520 ÷ 1 = 29520) → pair (1, 29520)
2. 2 divides 29520 (29520 ÷ 2 = 14760) → pair (2, 14760)
3. 3 divides 29520 (29520 ÷ 3 = 9840) → pair (3, 9840)
4. 4 divides 29520 (29520 ÷ 4 = 7380) → pair (4, 7380)
5. 5 divides 29520 (29520 ÷ 5 = 5904) → pair (5, 5904)
6. 6 divides 29520 (29520 ÷ 6 = 4920) → pair (6, 4920)
7. 8 divides 29520 (29520 ÷ 8 = 3690) → pair (8, 3690)
8. 9 divides 29520 (29520 ÷ 9 = 3280) → pair (9, 3280)
9. 10 divides 29520 (29520 ÷ 10 = 2952) → pair (10, 2952)
10. 12 divides 29520 (29520 ÷ 12 = 2460) → pair (12, 2460)
11. 15 divides 29520 (29520 ÷ 15 = 1968) → pair (15, 1968)
12. 16 divides 29520 (29520 ÷ 16 = 1845) → pair (16, 1845)
13. 18 divides 29520 (29520 ÷ 18 = 1640) → pair (18, 1640)
14. 20 divides 29520 (29520 ÷ 20 = 1476) → pair (20, 1476)
15. 24 divides 29520 (29520 ÷ 24 = 1230) → pair (24, 1230)
16. 30 divides 29520 (29520 ÷ 30 = 984) → pair (30, 984)
17. 36 divides 29520 (29520 ÷ 36 = 820) → pair (36, 820)
18. 40 divides 29520 (29520 ÷ 40 = 738) → pair (40, 738)
19. 41 divides 29520 (29520 ÷ 41 = 720) → pair (41, 720)
20. 45 divides 29520 (29520 ÷ 45 = 656) → pair (45, 656)
21. 48 divides 29520 (29520 ÷ 48 = 615) → pair (48, 615)
22. 60 divides 29520 (29520 ÷ 60 = 492) → pair (60, 492)
23. 72 divides 29520 (29520 ÷ 72 = 410) → pair (72, 410)
24. 80 divides 29520 (29520 ÷ 80 = 369) → pair (80, 369)
25. 82 divides 29520 (29520 ÷ 82 = 360) → pair (82, 360)
26. 90 divides 29520 (29520 ÷ 90 = 328) → pair (90, 328)
27. 120 divides 29520 (29520 ÷ 120 = 246) → pair (120, 246)
28. 123 divides 29520 (29520 ÷ 123 = 240) → pair (123, 240)
29. 144 divides 29520 (29520 ÷ 144 = 205) → pair (144, 205)
30. 164 divides 29520 (29520 ÷ 164 = 180) → pair (164, 180)
31. Collect all unique values: {1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 41, 45, 48, 60, 72, 80, 82, 90, 120, 123, 144, 164, 180, 205, 240, 246, 328, 360, 369, 410, 492, 615, 656, 720, 738, 820, 984, 1230, 1476, 1640, 1845, 1968, 2460, 2952, 3280, 3690, 4920, 5904, 7380, 9840, 14760, 29520} — total 60 divisors.
32. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 18 + 20 + 24 + 30 + 36 + 40 + 41 + 45 + 48 + 60 + 72 + 80 + 82 + 90 + 120 + 123 + 144 + 164 + 180 + 205 + 240 + 246 + 328 + 360 + 369 + 410 + 492 + 615 + 656 + 720 + 738 + 820 + 984 + 1230 + 1476 + 1640 + 1845 + 1968 + 2460 + 2952 + 3280 + 3690 + 4920 + 5904 + 7380 + 9840 + 14760 + 29520 = 101556.

Nearby Examples

Related Operations for 29520

• Multiples of a Number — "outward" complement of divisors
• 29520 Prime Factorization — decompose into prime building blocks
• Find GCF of 29520 and another number
• Find LCM of 29520 and another number
• Is 29520 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: