Divisors of 484: All 9 Factors
Quick Answer
484 has 9 divisors (factors): 1, 2, 4, 11, 22, 44, 121, 242, 484.
Sum: 931. 484 is a perfect square (√484 = 22).
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 484
The number 484 has 9 divisors:
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisor Pairs of 484
Each pair multiplies to 484:
| Factor 1 | × | Factor 2 | = | Product |
|---|---|---|---|---|
| 1 | × | 484 | = | 484 |
| 2 | × | 242 | = | 484 |
| 4 | × | 121 | = | 484 |
| 11 | × | 44 | = | 484 |
| 22 | × | 22 | = | 484 |
Note: the last pair has identical factors (22 × 22) because 484 is a perfect square.
Number of Divisors
The number 484 has 9 divisors, written as τ(484) = 9 in number theory.
⚡ Notice: 484 has an odd number of divisors — this means 484 is a perfect square (√484 = 22).
Sum of Divisors
σ(484) = 1 + 2 + 4 + 11 + 22 + 44 + 121 + 242 + 484 = 931
Prime Factorization of 484
Properties of 484
- 484 is composite.
- 484 is a perfect square (√484 = 22).
- Number of divisors: 9.
- Sum of divisors: 931.
Common Divisors with Another Number?
Looking for the divisors that 484 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 484
An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √484 ≈ 22.00. If i divides 484, then both i and 484/i are divisors.
- 1 divides 484 (484 ÷ 1 = 484) → pair (1, 484)
- 2 divides 484 (484 ÷ 2 = 242) → pair (2, 242)
- 4 divides 484 (484 ÷ 4 = 121) → pair (4, 121)
- 11 divides 484 (484 ÷ 11 = 44) → pair (11, 44)
- 22 divides 484 (484 ÷ 22 = 22) → pair (22, 22)
- Collect all unique values: {1, 2, 4, 11, 22, 44, 121, 242, 484} — total 9 divisors.
- Sum: 1 + 2 + 4 + 11 + 22 + 44 + 121 + 242 + 484 = 931.
Nearby Examples
Related Operations for 484
- Multiples of 484 — "outward" complement; M is a multiple of 484 ⇔ 484 is a divisor of M
- 484 Prime Factorization — decompose into prime building blocks
- Find GCF of 484 and another number
- Find LCM of 484 and another number
- Is 484 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