Factor calculator
Exact whole-number maths in this tab. Nothing is uploaded.
360 is not prime (it is composite).
- Prime factorization
- 2³ × 3² × 5
- Written out
- 2 × 2 × 2 × 3 × 3 × 5
- Number of divisors
- 24
- Sum of divisors
- 1170
- Previous prime
- 359
- Next prime
- 367
All factors
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Factor pairs
1 × 360, 2 × 180, 3 × 120, 4 × 90, 5 × 72, 6 × 60, 8 × 45, 9 × 40, 10 × 36, 12 × 30, 15 × 24, 18 × 20
How to use this tool
Find every factor of a number and whether it is prime. Nothing is uploaded.
Open Factor calculator
Type a whole number up to 18 digits, or tap an example.
Read the prime factorization
See if the number is prime, its prime factorization such as 2³ × 3² × 5, and the primes just below and above it.
See all factors and pairs
Every divisor is listed in order, with the factor pairs, the number of divisors and their sum.
FAQ
How do I find all the factors of a number?
Type the number. The page lists every divisor from smallest to largest, the factor pairs that multiply to the number and how many divisors there are.
What is prime factorization?
Writing a number as a product of prime numbers, for example 360 = 2³ × 3² × 5. Every whole number above 1 has exactly one prime factorization.
How do I know if a number is prime?
A prime has exactly two factors: 1 and itself. The page says whether your number is prime and shows the primes just below and above it. 1 is neither prime nor composite.
How large a number can it factor?
Any whole number up to 18 digits, exactly. It uses a deterministic Miller–Rabin prime test and Pollard's rho method, so even large numbers take a fraction of a second.
How is the number of divisors worked out?
Add 1 to each exponent in the prime factorization and multiply: 360 = 2³ × 3² × 5¹ has (3 + 1)(2 + 1)(1 + 1) = 24 divisors.