Divisors of 3104: All 12 Factors
Quick Answer
3104 has 12 divisors (factors): 1, 2, 4, 8, 16, 32, 97, 194, 388, 776, 1552, 3104.
Sum: 6174.
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 3104
The number 3104 has 12 divisors:
1, 2, 4, 8, 16, 32, 97, 194, 388, 776, 1552, 3104
Divisor Pairs of 3104
Each pair multiplies to 3104:
| Factor 1 | × | Factor 2 | = | Product |
|---|---|---|---|---|
| 1 | × | 3104 | = | 3104 |
| 2 | × | 1552 | = | 3104 |
| 4 | × | 776 | = | 3104 |
| 8 | × | 388 | = | 3104 |
| 16 | × | 194 | = | 3104 |
| 32 | × | 97 | = | 3104 |
Number of Divisors
The number 3104 has 12 divisors, written as τ(3104) = 12 in number theory.
Sum of Divisors
σ(3104) = 1 + 2 + 4 + 8 + 16 + 32 + 97 + 194 + 388 + 776 + 1552 + 3104 = 6174
Prime Factorization of 3104
Properties of 3104
- 3104 is composite.
- 3104 is not a perfect square.
- Number of divisors: 12.
- Sum of divisors: 6174.
Common Divisors with Another Number?
Looking for the divisors that 3104 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 3104
An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √3104 ≈ 55.71. If i divides 3104, then both i and 3104/i are divisors.
- 1 divides 3104 (3104 ÷ 1 = 3104) → pair (1, 3104)
- 2 divides 3104 (3104 ÷ 2 = 1552) → pair (2, 1552)
- 4 divides 3104 (3104 ÷ 4 = 776) → pair (4, 776)
- 8 divides 3104 (3104 ÷ 8 = 388) → pair (8, 388)
- 16 divides 3104 (3104 ÷ 16 = 194) → pair (16, 194)
- 32 divides 3104 (3104 ÷ 32 = 97) → pair (32, 97)
- Collect all unique values: {1, 2, 4, 8, 16, 32, 97, 194, 388, 776, 1552, 3104} — total 12 divisors.
- Sum: 1 + 2 + 4 + 8 + 16 + 32 + 97 + 194 + 388 + 776 + 1552 + 3104 = 6174.
Nearby Examples
Related Operations for 3104
- Multiples of 3104 — "outward" complement; M is a multiple of 3104 ⇔ 3104 is a divisor of M
- 3104 Prime Factorization — decompose into prime building blocks
- Find GCF of 3104 and another number
- Find LCM of 3104 and another number
- Is 3104 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