Divisors of 1040: All 20 Factors
Quick Answer
1040 has 20 divisors (factors): 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040.
Sum: 2604.
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 1040
The number 1040 has 20 divisors:
1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040
Divisor Pairs of 1040
Each pair multiplies to 1040:
| Factor 1 | × | Factor 2 | = | Product |
|---|---|---|---|---|
| 1 | × | 1040 | = | 1040 |
| 2 | × | 520 | = | 1040 |
| 4 | × | 260 | = | 1040 |
| 5 | × | 208 | = | 1040 |
| 8 | × | 130 | = | 1040 |
| 10 | × | 104 | = | 1040 |
| 13 | × | 80 | = | 1040 |
| 16 | × | 65 | = | 1040 |
| 20 | × | 52 | = | 1040 |
| 26 | × | 40 | = | 1040 |
Number of Divisors
The number 1040 has 20 divisors, written as τ(1040) = 20 in number theory.
Sum of Divisors
σ(1040) = 1 + 2 + 4 + 5 + 8 + 10 + 13 + 16 + 20 + 26 + 40 + 52 + 65 + 80 + 104 + 130 + 208 + 260 + 520 + 1040 = 2604
Prime Factorization of 1040
Properties of 1040
- 1040 is composite.
- 1040 is not a perfect square.
- Number of divisors: 20.
- Sum of divisors: 2604.
Common Divisors with Another Number?
Looking for the divisors that 1040 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 1040
An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √1040 ≈ 32.25. If i divides 1040, then both i and 1040/i are divisors.
- 1 divides 1040 (1040 ÷ 1 = 1040) → pair (1, 1040)
- 2 divides 1040 (1040 ÷ 2 = 520) → pair (2, 520)
- 4 divides 1040 (1040 ÷ 4 = 260) → pair (4, 260)
- 5 divides 1040 (1040 ÷ 5 = 208) → pair (5, 208)
- 8 divides 1040 (1040 ÷ 8 = 130) → pair (8, 130)
- 10 divides 1040 (1040 ÷ 10 = 104) → pair (10, 104)
- 13 divides 1040 (1040 ÷ 13 = 80) → pair (13, 80)
- 16 divides 1040 (1040 ÷ 16 = 65) → pair (16, 65)
- 20 divides 1040 (1040 ÷ 20 = 52) → pair (20, 52)
- 26 divides 1040 (1040 ÷ 26 = 40) → pair (26, 40)
- Collect all unique values: {1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040} — total 20 divisors.
- Sum: 1 + 2 + 4 + 5 + 8 + 10 + 13 + 16 + 20 + 26 + 40 + 52 + 65 + 80 + 104 + 130 + 208 + 260 + 520 + 1040 = 2604.
Nearby Examples
Related Operations for 1040
- Multiples of 1040 — "outward" complement; M is a multiple of 1040 ⇔ 1040 is a divisor of M
- 1040 Prime Factorization — decompose into prime building blocks
- Find GCF of 1040 and another number
- Find LCM of 1040 and another number
- Is 1040 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