Divisors of 48060: All 48 Factors

Quick Answer

48060 has 48 divisors (factors): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 89, 90, 108, 135, 178, 180, 267, 270, 356, 445, 534, 540, 801, 890, 1068, 1335, 1602, 1780, 2403, 2670, 3204, 4005, 4806, 5340, 8010, 9612, 12015, 16020, 24030, 48060.

Sum: 151200.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

  Ex.: 12, 36, 100, 1024, 1728, etc.
48 divisors
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 89, 90, 108, 135, 178, 180, 267, 270, 356, 445, 534, 540, 801, 890, 1068, 1335, 1602, 1780, 2403, 2670, 3204, 4005, 4806, 5340, 8010, 9612, 12015, 16020, 24030, 48060

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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 48060

The number 48060 has 48 divisors:

1,  2,  3,  4,  5,  6,  9,  10,  12,  15,  18,  20,  27,  30,  36,  45,  54,  60,  89,  90,  108,  135,  178,  180,  267,  270,  356,  445,  534,  540,  801,  890,  1068,  1335,  1602,  1780,  2403,  2670,  3204,  4005,  4806,  5340,  8010,  9612,  12015,  16020,  24030,  48060

Divisor Pairs of 48060

Each pair multiplies to 48060:

Factor 1×Factor 2=Product
1×48060=48060
2×24030=48060
3×16020=48060
4×12015=48060
5×9612=48060
6×8010=48060
9×5340=48060
10×4806=48060
12×4005=48060
15×3204=48060
18×2670=48060
20×2403=48060
27×1780=48060
30×1602=48060
36×1335=48060
45×1068=48060
54×890=48060
60×801=48060
89×540=48060
90×534=48060
108×445=48060
135×356=48060
178×270=48060
180×267=48060

Number of Divisors

The number 48060 has 48 divisors, written as τ(48060) = 48 in number theory.

Sum of Divisors

σ(48060) = 1 + 2 + 3 + 4 + 5 + 6 + 9 + 10 + 12 + 15 + 18 + 20 + 27 + 30 + 36 + 45 + 54 + 60 + 89 + 90 + 108 + 135 + 178 + 180 + 267 + 270 + 356 + 445 + 534 + 540 + 801 + 890 + 1068 + 1335 + 1602 + 1780 + 2403 + 2670 + 3204 + 4005 + 4806 + 5340 + 8010 + 9612 + 12015 + 16020 + 24030 + 48060 = 151200

Prime Factorization of 48060

See the full prime factorization calculator →

Properties of 48060

  • 48060 is composite.
  • 48060 is not a perfect square.
  • Number of divisors: 48.
  • Sum of divisors: 151200.

Common Divisors with Another Number?

Looking for the divisors that 48060 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 48060

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √48060 ≈ 219.23. If i divides 48060, then both i and 48060/i are divisors.

  1. 1 divides 48060 (48060 ÷ 1 = 48060) → pair (1, 48060)
  2. 2 divides 48060 (48060 ÷ 2 = 24030) → pair (2, 24030)
  3. 3 divides 48060 (48060 ÷ 3 = 16020) → pair (3, 16020)
  4. 4 divides 48060 (48060 ÷ 4 = 12015) → pair (4, 12015)
  5. 5 divides 48060 (48060 ÷ 5 = 9612) → pair (5, 9612)
  6. 6 divides 48060 (48060 ÷ 6 = 8010) → pair (6, 8010)
  7. 9 divides 48060 (48060 ÷ 9 = 5340) → pair (9, 5340)
  8. 10 divides 48060 (48060 ÷ 10 = 4806) → pair (10, 4806)
  9. 12 divides 48060 (48060 ÷ 12 = 4005) → pair (12, 4005)
  10. 15 divides 48060 (48060 ÷ 15 = 3204) → pair (15, 3204)
  11. 18 divides 48060 (48060 ÷ 18 = 2670) → pair (18, 2670)
  12. 20 divides 48060 (48060 ÷ 20 = 2403) → pair (20, 2403)
  13. 27 divides 48060 (48060 ÷ 27 = 1780) → pair (27, 1780)
  14. 30 divides 48060 (48060 ÷ 30 = 1602) → pair (30, 1602)
  15. 36 divides 48060 (48060 ÷ 36 = 1335) → pair (36, 1335)
  16. 45 divides 48060 (48060 ÷ 45 = 1068) → pair (45, 1068)
  17. 54 divides 48060 (48060 ÷ 54 = 890) → pair (54, 890)
  18. 60 divides 48060 (48060 ÷ 60 = 801) → pair (60, 801)
  19. 89 divides 48060 (48060 ÷ 89 = 540) → pair (89, 540)
  20. 90 divides 48060 (48060 ÷ 90 = 534) → pair (90, 534)
  21. 108 divides 48060 (48060 ÷ 108 = 445) → pair (108, 445)
  22. 135 divides 48060 (48060 ÷ 135 = 356) → pair (135, 356)
  23. 178 divides 48060 (48060 ÷ 178 = 270) → pair (178, 270)
  24. 180 divides 48060 (48060 ÷ 180 = 267) → pair (180, 267)
  25. Collect all unique values: {1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 89, 90, 108, 135, 178, 180, 267, 270, 356, 445, 534, 540, 801, 890, 1068, 1335, 1602, 1780, 2403, 2670, 3204, 4005, 4806, 5340, 8010, 9612, 12015, 16020, 24030, 48060} — total 48 divisors.
  26. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 9 + 10 + 12 + 15 + 18 + 20 + 27 + 30 + 36 + 45 + 54 + 60 + 89 + 90 + 108 + 135 + 178 + 180 + 267 + 270 + 356 + 445 + 534 + 540 + 801 + 890 + 1068 + 1335 + 1602 + 1780 + 2403 + 2670 + 3204 + 4005 + 4806 + 5340 + 8010 + 9612 + 12015 + 16020 + 24030 + 48060 = 151200.

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Related Operations for 48060

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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