Divisors of 1520: All 20 Factors
Quick Answer
1520 has 20 divisors (factors): 1, 2, 4, 5, 8, 10, 16, 19, 20, 38, 40, 76, 80, 95, 152, 190, 304, 380, 760, 1520.
Sum: 3720.
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 1520
The number 1520 has 20 divisors:
1, 2, 4, 5, 8, 10, 16, 19, 20, 38, 40, 76, 80, 95, 152, 190, 304, 380, 760, 1520
Divisor Pairs of 1520
Each pair multiplies to 1520:
| Factor 1 | × | Factor 2 | = | Product |
|---|---|---|---|---|
| 1 | × | 1520 | = | 1520 |
| 2 | × | 760 | = | 1520 |
| 4 | × | 380 | = | 1520 |
| 5 | × | 304 | = | 1520 |
| 8 | × | 190 | = | 1520 |
| 10 | × | 152 | = | 1520 |
| 16 | × | 95 | = | 1520 |
| 19 | × | 80 | = | 1520 |
| 20 | × | 76 | = | 1520 |
| 38 | × | 40 | = | 1520 |
Number of Divisors
The number 1520 has 20 divisors, written as τ(1520) = 20 in number theory.
Sum of Divisors
σ(1520) = 1 + 2 + 4 + 5 + 8 + 10 + 16 + 19 + 20 + 38 + 40 + 76 + 80 + 95 + 152 + 190 + 304 + 380 + 760 + 1520 = 3720
Prime Factorization of 1520
Properties of 1520
- 1520 is composite.
- 1520 is not a perfect square.
- Number of divisors: 20.
- Sum of divisors: 3720.
Common Divisors with Another Number?
Looking for the divisors that 1520 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 1520
An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √1520 ≈ 38.99. If i divides 1520, then both i and 1520/i are divisors.
- 1 divides 1520 (1520 ÷ 1 = 1520) → pair (1, 1520)
- 2 divides 1520 (1520 ÷ 2 = 760) → pair (2, 760)
- 4 divides 1520 (1520 ÷ 4 = 380) → pair (4, 380)
- 5 divides 1520 (1520 ÷ 5 = 304) → pair (5, 304)
- 8 divides 1520 (1520 ÷ 8 = 190) → pair (8, 190)
- 10 divides 1520 (1520 ÷ 10 = 152) → pair (10, 152)
- 16 divides 1520 (1520 ÷ 16 = 95) → pair (16, 95)
- 19 divides 1520 (1520 ÷ 19 = 80) → pair (19, 80)
- 20 divides 1520 (1520 ÷ 20 = 76) → pair (20, 76)
- 38 divides 1520 (1520 ÷ 38 = 40) → pair (38, 40)
- Collect all unique values: {1, 2, 4, 5, 8, 10, 16, 19, 20, 38, 40, 76, 80, 95, 152, 190, 304, 380, 760, 1520} — total 20 divisors.
- Sum: 1 + 2 + 4 + 5 + 8 + 10 + 16 + 19 + 20 + 38 + 40 + 76 + 80 + 95 + 152 + 190 + 304 + 380 + 760 + 1520 = 3720.
Nearby Examples
Related Operations for 1520
- Multiples of 1520 — "outward" complement; M is a multiple of 1520 ⇔ 1520 is a divisor of M
- 1520 Prime Factorization — decompose into prime building blocks
- Find GCF of 1520 and another number
- Find LCM of 1520 and another number
- Is 1520 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
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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