Divisors of 520: All 16 Factors
Quick Answer
520 has 16 divisors (factors): 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520.
Sum: 1260.
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 520
The number 520 has 16 divisors:
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisor Pairs of 520
Each pair multiplies to 520:
| Factor 1 | × | Factor 2 | = | Product |
|---|---|---|---|---|
| 1 | × | 520 | = | 520 |
| 2 | × | 260 | = | 520 |
| 4 | × | 130 | = | 520 |
| 5 | × | 104 | = | 520 |
| 8 | × | 65 | = | 520 |
| 10 | × | 52 | = | 520 |
| 13 | × | 40 | = | 520 |
| 20 | × | 26 | = | 520 |
Number of Divisors
The number 520 has 16 divisors, written as τ(520) = 16 in number theory.
Sum of Divisors
σ(520) = 1 + 2 + 4 + 5 + 8 + 10 + 13 + 20 + 26 + 40 + 52 + 65 + 104 + 130 + 260 + 520 = 1260
Prime Factorization of 520
Properties of 520
- 520 is composite.
- 520 is not a perfect square.
- Number of divisors: 16.
- Sum of divisors: 1260.
Common Divisors with Another Number?
Looking for the divisors that 520 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 520
An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √520 ≈ 22.80. If i divides 520, then both i and 520/i are divisors.
- 1 divides 520 (520 ÷ 1 = 520) → pair (1, 520)
- 2 divides 520 (520 ÷ 2 = 260) → pair (2, 260)
- 4 divides 520 (520 ÷ 4 = 130) → pair (4, 130)
- 5 divides 520 (520 ÷ 5 = 104) → pair (5, 104)
- 8 divides 520 (520 ÷ 8 = 65) → pair (8, 65)
- 10 divides 520 (520 ÷ 10 = 52) → pair (10, 52)
- 13 divides 520 (520 ÷ 13 = 40) → pair (13, 40)
- 20 divides 520 (520 ÷ 20 = 26) → pair (20, 26)
- Collect all unique values: {1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520} — total 16 divisors.
- Sum: 1 + 2 + 4 + 5 + 8 + 10 + 13 + 20 + 26 + 40 + 52 + 65 + 104 + 130 + 260 + 520 = 1260.
Nearby Examples
Related Operations for 520
- Multiples of 520 — "outward" complement; M is a multiple of 520 ⇔ 520 is a divisor of M
- 520 Prime Factorization — decompose into prime building blocks
- Find GCF of 520 and another number
- Find LCM of 520 and another number
- Is 520 a perfect square? (odd divisor count ⇔ yes)
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.
Divisors Calculation Examples
Find all divisors of these numbers:
Related Calculators
- Multiples of a Number — "outward" complement
- Prime Factorization — product of prime divisors
- Greatest Common Factor (GCF) — largest common divisor of 2+ numbers
- Least Common Multiple (LCM) — smallest common multiple
- Is N a Perfect Square? — odd divisor count check