Divisors of 1: Only 1 Divisor
Quick Answer
The number 1 has only 1 divisor: itself. 1 is neither prime nor composite.
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).
Why 1 Has Only 1 Divisor
The number 1 is divisible only by itself. By the definition of a divisor (an integer that divides another integer evenly), 1 fits only its own definition — no other integer divides into 1 cleanly.
This makes 1 special: it is neither prime nor composite. Prime numbers have exactly 2 divisors (1 and themselves); composite numbers have more than 2; 1 has only 1.
- Number of divisors: 1
- Sum of divisors: 1
- Prime factorization: 1 (the empty product)
Related Operations for 1
- Multiples of 1 — "outward" complement; M is a multiple of 1 ⇔ 1 is a divisor of M
- 1 Prime Factorization — decompose into prime building blocks
- Is 1 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