Divisors of 33489: All 9 Factors
Quick Answer
33489 has 9 divisors (factors): 1, 3, 9, 61, 183, 549, 3721, 11163, 33489.
Sum: 49179. 33489 is a perfect square (√33489 = 183).
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 33489
The number 33489 has 9 divisors:
1, 3, 9, 61, 183, 549, 3721, 11163, 33489
Divisor Pairs of 33489
Each pair multiplies to 33489:
| Factor 1 | × | Factor 2 | = | Product |
|---|---|---|---|---|
| 1 | × | 33489 | = | 33489 |
| 3 | × | 11163 | = | 33489 |
| 9 | × | 3721 | = | 33489 |
| 61 | × | 549 | = | 33489 |
| 183 | × | 183 | = | 33489 |
Note: the last pair has identical factors (183 × 183) because 33489 is a perfect square.
Number of Divisors
The number 33489 has 9 divisors, written as τ(33489) = 9 in number theory.
⚡ Notice: 33489 has an odd number of divisors — this means 33489 is a perfect square (√33489 = 183).
Sum of Divisors
σ(33489) = 1 + 3 + 9 + 61 + 183 + 549 + 3721 + 11163 + 33489 = 49179
Prime Factorization of 33489
Properties of 33489
- 33489 is composite.
- 33489 is a perfect square (√33489 = 183).
- Number of divisors: 9.
- Sum of divisors: 49179.
Common Divisors with Another Number?
Looking for the divisors that 33489 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 33489
An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √33489 ≈ 183.00. If i divides 33489, then both i and 33489/i are divisors.
- 1 divides 33489 (33489 ÷ 1 = 33489) → pair (1, 33489)
- 3 divides 33489 (33489 ÷ 3 = 11163) → pair (3, 11163)
- 9 divides 33489 (33489 ÷ 9 = 3721) → pair (9, 3721)
- 61 divides 33489 (33489 ÷ 61 = 549) → pair (61, 549)
- 183 divides 33489 (33489 ÷ 183 = 183) → pair (183, 183)
- Collect all unique values: {1, 3, 9, 61, 183, 549, 3721, 11163, 33489} — total 9 divisors.
- Sum: 1 + 3 + 9 + 61 + 183 + 549 + 3721 + 11163 + 33489 = 49179.
Nearby Examples
Related Operations for 33489
- Multiples of a Number — "outward" complement of divisors
- 33489 Prime Factorization — decompose into prime building blocks
- Find GCF of 33489 and another number
- Find LCM of 33489 and another number
- Is 33489 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