Divisors of 24120: All 48 Factors

Quick Answer

24120 has 48 divisors (factors): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 67, 72, 90, 120, 134, 180, 201, 268, 335, 360, 402, 536, 603, 670, 804, 1005, 1206, 1340, 1608, 2010, 2412, 2680, 3015, 4020, 4824, 6030, 8040, 12060, 24120.

Sum: 79560.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

  Ex.: 12, 36, 100, 1024, 1728, etc.
48 divisors
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 67, 72, 90, 120, 134, 180, 201, 268, 335, 360, 402, 536, 603, 670, 804, 1005, 1206, 1340, 1608, 2010, 2412, 2680, 3015, 4020, 4824, 6030, 8040, 12060, 24120

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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 24120

The number 24120 has 48 divisors:

1,  2,  3,  4,  5,  6,  8,  9,  10,  12,  15,  18,  20,  24,  30,  36,  40,  45,  60,  67,  72,  90,  120,  134,  180,  201,  268,  335,  360,  402,  536,  603,  670,  804,  1005,  1206,  1340,  1608,  2010,  2412,  2680,  3015,  4020,  4824,  6030,  8040,  12060,  24120

Divisor Pairs of 24120

Each pair multiplies to 24120:

Factor 1×Factor 2=Product
1×24120=24120
2×12060=24120
3×8040=24120
4×6030=24120
5×4824=24120
6×4020=24120
8×3015=24120
9×2680=24120
10×2412=24120
12×2010=24120
15×1608=24120
18×1340=24120
20×1206=24120
24×1005=24120
30×804=24120
36×670=24120
40×603=24120
45×536=24120
60×402=24120
67×360=24120
72×335=24120
90×268=24120
120×201=24120
134×180=24120

Number of Divisors

The number 24120 has 48 divisors, written as τ(24120) = 48 in number theory.

Sum of Divisors

σ(24120) = 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 18 + 20 + 24 + 30 + 36 + 40 + 45 + 60 + 67 + 72 + 90 + 120 + 134 + 180 + 201 + 268 + 335 + 360 + 402 + 536 + 603 + 670 + 804 + 1005 + 1206 + 1340 + 1608 + 2010 + 2412 + 2680 + 3015 + 4020 + 4824 + 6030 + 8040 + 12060 + 24120 = 79560

Prime Factorization of 24120

See the full prime factorization calculator →

Properties of 24120

  • 24120 is composite.
  • 24120 is not a perfect square.
  • Number of divisors: 48.
  • Sum of divisors: 79560.

Common Divisors with Another Number?

Looking for the divisors that 24120 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 24120

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √24120 ≈ 155.31. If i divides 24120, then both i and 24120/i are divisors.

  1. 1 divides 24120 (24120 ÷ 1 = 24120) → pair (1, 24120)
  2. 2 divides 24120 (24120 ÷ 2 = 12060) → pair (2, 12060)
  3. 3 divides 24120 (24120 ÷ 3 = 8040) → pair (3, 8040)
  4. 4 divides 24120 (24120 ÷ 4 = 6030) → pair (4, 6030)
  5. 5 divides 24120 (24120 ÷ 5 = 4824) → pair (5, 4824)
  6. 6 divides 24120 (24120 ÷ 6 = 4020) → pair (6, 4020)
  7. 8 divides 24120 (24120 ÷ 8 = 3015) → pair (8, 3015)
  8. 9 divides 24120 (24120 ÷ 9 = 2680) → pair (9, 2680)
  9. 10 divides 24120 (24120 ÷ 10 = 2412) → pair (10, 2412)
  10. 12 divides 24120 (24120 ÷ 12 = 2010) → pair (12, 2010)
  11. 15 divides 24120 (24120 ÷ 15 = 1608) → pair (15, 1608)
  12. 18 divides 24120 (24120 ÷ 18 = 1340) → pair (18, 1340)
  13. 20 divides 24120 (24120 ÷ 20 = 1206) → pair (20, 1206)
  14. 24 divides 24120 (24120 ÷ 24 = 1005) → pair (24, 1005)
  15. 30 divides 24120 (24120 ÷ 30 = 804) → pair (30, 804)
  16. 36 divides 24120 (24120 ÷ 36 = 670) → pair (36, 670)
  17. 40 divides 24120 (24120 ÷ 40 = 603) → pair (40, 603)
  18. 45 divides 24120 (24120 ÷ 45 = 536) → pair (45, 536)
  19. 60 divides 24120 (24120 ÷ 60 = 402) → pair (60, 402)
  20. 67 divides 24120 (24120 ÷ 67 = 360) → pair (67, 360)
  21. 72 divides 24120 (24120 ÷ 72 = 335) → pair (72, 335)
  22. 90 divides 24120 (24120 ÷ 90 = 268) → pair (90, 268)
  23. 120 divides 24120 (24120 ÷ 120 = 201) → pair (120, 201)
  24. 134 divides 24120 (24120 ÷ 134 = 180) → pair (134, 180)
  25. Collect all unique values: {1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 67, 72, 90, 120, 134, 180, 201, 268, 335, 360, 402, 536, 603, 670, 804, 1005, 1206, 1340, 1608, 2010, 2412, 2680, 3015, 4020, 4824, 6030, 8040, 12060, 24120} — total 48 divisors.
  26. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 18 + 20 + 24 + 30 + 36 + 40 + 45 + 60 + 67 + 72 + 90 + 120 + 134 + 180 + 201 + 268 + 335 + 360 + 402 + 536 + 603 + 670 + 804 + 1005 + 1206 + 1340 + 1608 + 2010 + 2412 + 2680 + 3015 + 4020 + 4824 + 6030 + 8040 + 12060 + 24120 = 79560.

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Related Operations for 24120

See also our tables of divisors:

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

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