Divisors of 52000: All 48 Factors

Quick Answer

52000 has 48 divisors (factors): 1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 32, 40, 50, 52, 65, 80, 100, 104, 125, 130, 160, 200, 208, 250, 260, 325, 400, 416, 500, 520, 650, 800, 1000, 1040, 1300, 1625, 2000, 2080, 2600, 3250, 4000, 5200, 6500, 10400, 13000, 26000, 52000.

Sum: 137592.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

  Ex.: 12, 36, 100, 1024, 1728, etc.
48 divisors
1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 32, 40, 50, 52, 65, 80, 100, 104, 125, 130, 160, 200, 208, 250, 260, 325, 400, 416, 500, 520, 650, 800, 1000, 1040, 1300, 1625, 2000, 2080, 2600, 3250, 4000, 5200, 6500, 10400, 13000, 26000, 52000

Found an error? Contact us.

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 52000

The number 52000 has 48 divisors:

1,  2,  4,  5,  8,  10,  13,  16,  20,  25,  26,  32,  40,  50,  52,  65,  80,  100,  104,  125,  130,  160,  200,  208,  250,  260,  325,  400,  416,  500,  520,  650,  800,  1000,  1040,  1300,  1625,  2000,  2080,  2600,  3250,  4000,  5200,  6500,  10400,  13000,  26000,  52000

Divisor Pairs of 52000

Each pair multiplies to 52000:

Factor 1×Factor 2=Product
1×52000=52000
2×26000=52000
4×13000=52000
5×10400=52000
8×6500=52000
10×5200=52000
13×4000=52000
16×3250=52000
20×2600=52000
25×2080=52000
26×2000=52000
32×1625=52000
40×1300=52000
50×1040=52000
52×1000=52000
65×800=52000
80×650=52000
100×520=52000
104×500=52000
125×416=52000
130×400=52000
160×325=52000
200×260=52000
208×250=52000

Number of Divisors

The number 52000 has 48 divisors, written as τ(52000) = 48 in number theory.

Sum of Divisors

σ(52000) = 1 + 2 + 4 + 5 + 8 + 10 + 13 + 16 + 20 + 25 + 26 + 32 + 40 + 50 + 52 + 65 + 80 + 100 + 104 + 125 + 130 + 160 + 200 + 208 + 250 + 260 + 325 + 400 + 416 + 500 + 520 + 650 + 800 + 1000 + 1040 + 1300 + 1625 + 2000 + 2080 + 2600 + 3250 + 4000 + 5200 + 6500 + 10400 + 13000 + 26000 + 52000 = 137592

Prime Factorization of 52000

See the full prime factorization calculator →

Properties of 52000

  • 52000 is composite.
  • 52000 is not a perfect square.
  • Number of divisors: 48.
  • Sum of divisors: 137592.

Common Divisors with Another Number?

Looking for the divisors that 52000 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 52000

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √52000 ≈ 228.04. If i divides 52000, then both i and 52000/i are divisors.

  1. 1 divides 52000 (52000 ÷ 1 = 52000) → pair (1, 52000)
  2. 2 divides 52000 (52000 ÷ 2 = 26000) → pair (2, 26000)
  3. 4 divides 52000 (52000 ÷ 4 = 13000) → pair (4, 13000)
  4. 5 divides 52000 (52000 ÷ 5 = 10400) → pair (5, 10400)
  5. 8 divides 52000 (52000 ÷ 8 = 6500) → pair (8, 6500)
  6. 10 divides 52000 (52000 ÷ 10 = 5200) → pair (10, 5200)
  7. 13 divides 52000 (52000 ÷ 13 = 4000) → pair (13, 4000)
  8. 16 divides 52000 (52000 ÷ 16 = 3250) → pair (16, 3250)
  9. 20 divides 52000 (52000 ÷ 20 = 2600) → pair (20, 2600)
  10. 25 divides 52000 (52000 ÷ 25 = 2080) → pair (25, 2080)
  11. 26 divides 52000 (52000 ÷ 26 = 2000) → pair (26, 2000)
  12. 32 divides 52000 (52000 ÷ 32 = 1625) → pair (32, 1625)
  13. 40 divides 52000 (52000 ÷ 40 = 1300) → pair (40, 1300)
  14. 50 divides 52000 (52000 ÷ 50 = 1040) → pair (50, 1040)
  15. 52 divides 52000 (52000 ÷ 52 = 1000) → pair (52, 1000)
  16. 65 divides 52000 (52000 ÷ 65 = 800) → pair (65, 800)
  17. 80 divides 52000 (52000 ÷ 80 = 650) → pair (80, 650)
  18. 100 divides 52000 (52000 ÷ 100 = 520) → pair (100, 520)
  19. 104 divides 52000 (52000 ÷ 104 = 500) → pair (104, 500)
  20. 125 divides 52000 (52000 ÷ 125 = 416) → pair (125, 416)
  21. 130 divides 52000 (52000 ÷ 130 = 400) → pair (130, 400)
  22. 160 divides 52000 (52000 ÷ 160 = 325) → pair (160, 325)
  23. 200 divides 52000 (52000 ÷ 200 = 260) → pair (200, 260)
  24. 208 divides 52000 (52000 ÷ 208 = 250) → pair (208, 250)
  25. Collect all unique values: {1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 32, 40, 50, 52, 65, 80, 100, 104, 125, 130, 160, 200, 208, 250, 260, 325, 400, 416, 500, 520, 650, 800, 1000, 1040, 1300, 1625, 2000, 2080, 2600, 3250, 4000, 5200, 6500, 10400, 13000, 26000, 52000} — total 48 divisors.
  26. Sum: 1 + 2 + 4 + 5 + 8 + 10 + 13 + 16 + 20 + 25 + 26 + 32 + 40 + 50 + 52 + 65 + 80 + 100 + 104 + 125 + 130 + 160 + 200 + 208 + 250 + 260 + 325 + 400 + 416 + 500 + 520 + 650 + 800 + 1000 + 1040 + 1300 + 1625 + 2000 + 2080 + 2600 + 3250 + 4000 + 5200 + 6500 + 10400 + 13000 + 26000 + 52000 = 137592.

Nearby Examples

ndivisors countsum σ(n)
360241170
24020744
18018546
14415403
12016360
1009217
9012234
8412224

Related Operations for 52000

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

Divisors Calculation Examples

Find all divisors of these numbers:

1,1858 div1,30216 div3584 div1,9708 div2,0236 div1009 div1,0308 div1,2074 div1,2698 div1,4532 div1,75216 div1,86212 div

Related Calculators