Divisors of 1328: All 10 Factors
Quick Answer
1328 has 10 divisors (factors): 1, 2, 4, 8, 16, 83, 166, 332, 664, 1328.
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 1328
The number 1328 has 10 divisors:
1, 2, 4, 8, 16, 83, 166, 332, 664, 1328
Divisor Pairs of 1328
Each pair multiplies to 1328:
| Factor 1 | × | Factor 2 | = | Product |
|---|---|---|---|---|
| 1 | × | 1328 | = | 1328 |
| 2 | × | 664 | = | 1328 |
| 4 | × | 332 | = | 1328 |
| 8 | × | 166 | = | 1328 |
| 16 | × | 83 | = | 1328 |
Number of Divisors
The number 1328 has 10 divisors, written as τ(1328) = 10 in number theory.
Sum of Divisors
σ(1328) = 1 + 2 + 4 + 8 + 16 + 83 + 166 + 332 + 664 + 1328 = 2604
Prime Factorization of 1328
Properties of 1328
- 1328 is composite.
- 1328 is not a perfect square.
- Number of divisors: 10.
- Sum of divisors: 2604.
Common Divisors with Another Number?
Looking for the divisors that 1328 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 1328
An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √1328 ≈ 36.44. If i divides 1328, then both i and 1328/i are divisors.
- 1 divides 1328 (1328 ÷ 1 = 1328) → pair (1, 1328)
- 2 divides 1328 (1328 ÷ 2 = 664) → pair (2, 664)
- 4 divides 1328 (1328 ÷ 4 = 332) → pair (4, 332)
- 8 divides 1328 (1328 ÷ 8 = 166) → pair (8, 166)
- 16 divides 1328 (1328 ÷ 16 = 83) → pair (16, 83)
- Collect all unique values: {1, 2, 4, 8, 16, 83, 166, 332, 664, 1328} — total 10 divisors.
- Sum: 1 + 2 + 4 + 8 + 16 + 83 + 166 + 332 + 664 + 1328 = 2604.
Nearby Examples
Related Operations for 1328
- Multiples of 1328 — "outward" complement; M is a multiple of 1328 ⇔ 1328 is a divisor of M
- 1328 Prime Factorization — decompose into prime building blocks
- Find GCF of 1328 and another number
- Find LCM of 1328 and another number
- Is 1328 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