Divisors of 60000: 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 60000

The number 60000 has 60 divisors:

1,  2,  3,  4,  5,  6,  8,  10,  12,  15,  16,  20,  24,  25,  30,  32,  40,  48,  50,  60,  75,  80,  96,  100,  120,  125,  150,  160,  200,  240,  250,  300,  375,  400,  480,  500,  600,  625,  750,  800,  1000,  1200,  1250,  1500,  1875,  2000,  2400,  2500,  3000,  3750,  4000,  5000,  6000,  7500,  10000,  12000,  15000,  20000,  30000,  60000

Divisor Pairs of 60000

Each pair multiplies to 60000:

Number of Divisors

The number 60000 has 60 divisors, written as τ(60000) = 60 in number theory.

Sum of Divisors

σ(60000) = 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 16 + 20 + 24 + 25 + 30 + 32 + 40 + 48 + 50 + 60 + 75 + 80 + 96 + 100 + 120 + 125 + 150 + 160 + 200 + 240 + 250 + 300 + 375 + 400 + 480 + 500 + 600 + 625 + 750 + 800 + 1000 + 1200 + 1250 + 1500 + 1875 + 2000 + 2400 + 2500 + 3000 + 3750 + 4000 + 5000 + 6000 + 7500 + 10000 + 12000 + 15000 + 20000 + 30000 + 60000 = 196812

Prime Factorization of 60000

See the full prime factorization calculator →

Properties of 60000

• 60000 is composite.
• 60000 is not a perfect square.
• Number of divisors: 60.
• Sum of divisors: 196812.

Common Divisors with Another Number?

Looking for the divisors that 60000 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 60000

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √60000 ≈ 244.95. If i divides 60000, then both i and 60000/i are divisors.

1. 1 divides 60000 (60000 ÷ 1 = 60000) → pair (1, 60000)
2. 2 divides 60000 (60000 ÷ 2 = 30000) → pair (2, 30000)
3. 3 divides 60000 (60000 ÷ 3 = 20000) → pair (3, 20000)
4. 4 divides 60000 (60000 ÷ 4 = 15000) → pair (4, 15000)
5. 5 divides 60000 (60000 ÷ 5 = 12000) → pair (5, 12000)
6. 6 divides 60000 (60000 ÷ 6 = 10000) → pair (6, 10000)
7. 8 divides 60000 (60000 ÷ 8 = 7500) → pair (8, 7500)
8. 10 divides 60000 (60000 ÷ 10 = 6000) → pair (10, 6000)
9. 12 divides 60000 (60000 ÷ 12 = 5000) → pair (12, 5000)
10. 15 divides 60000 (60000 ÷ 15 = 4000) → pair (15, 4000)
11. 16 divides 60000 (60000 ÷ 16 = 3750) → pair (16, 3750)
12. 20 divides 60000 (60000 ÷ 20 = 3000) → pair (20, 3000)
13. 24 divides 60000 (60000 ÷ 24 = 2500) → pair (24, 2500)
14. 25 divides 60000 (60000 ÷ 25 = 2400) → pair (25, 2400)
15. 30 divides 60000 (60000 ÷ 30 = 2000) → pair (30, 2000)
16. 32 divides 60000 (60000 ÷ 32 = 1875) → pair (32, 1875)
17. 40 divides 60000 (60000 ÷ 40 = 1500) → pair (40, 1500)
18. 48 divides 60000 (60000 ÷ 48 = 1250) → pair (48, 1250)
19. 50 divides 60000 (60000 ÷ 50 = 1200) → pair (50, 1200)
20. 60 divides 60000 (60000 ÷ 60 = 1000) → pair (60, 1000)
21. 75 divides 60000 (60000 ÷ 75 = 800) → pair (75, 800)
22. 80 divides 60000 (60000 ÷ 80 = 750) → pair (80, 750)
23. 96 divides 60000 (60000 ÷ 96 = 625) → pair (96, 625)
24. 100 divides 60000 (60000 ÷ 100 = 600) → pair (100, 600)
25. 120 divides 60000 (60000 ÷ 120 = 500) → pair (120, 500)
26. 125 divides 60000 (60000 ÷ 125 = 480) → pair (125, 480)
27. 150 divides 60000 (60000 ÷ 150 = 400) → pair (150, 400)
28. 160 divides 60000 (60000 ÷ 160 = 375) → pair (160, 375)
29. 200 divides 60000 (60000 ÷ 200 = 300) → pair (200, 300)
30. 240 divides 60000 (60000 ÷ 240 = 250) → pair (240, 250)
31. Collect all unique values: {1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 125, 150, 160, 200, 240, 250, 300, 375, 400, 480, 500, 600, 625, 750, 800, 1000, 1200, 1250, 1500, 1875, 2000, 2400, 2500, 3000, 3750, 4000, 5000, 6000, 7500, 10000, 12000, 15000, 20000, 30000, 60000} — total 60 divisors.
32. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 16 + 20 + 24 + 25 + 30 + 32 + 40 + 48 + 50 + 60 + 75 + 80 + 96 + 100 + 120 + 125 + 150 + 160 + 200 + 240 + 250 + 300 + 375 + 400 + 480 + 500 + 600 + 625 + 750 + 800 + 1000 + 1200 + 1250 + 1500 + 1875 + 2000 + 2400 + 2500 + 3000 + 3750 + 4000 + 5000 + 6000 + 7500 + 10000 + 12000 + 15000 + 20000 + 30000 + 60000 = 196812.

Nearby Examples

Related Operations for 60000

• Multiples of a Number — "outward" complement of divisors
• 60000 Prime Factorization — decompose into prime building blocks
• Find GCF of 60000 and another number
• Find LCM of 60000 and another number
• Is 60000 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: