Factor Calculator
Enter a positive whole number to list all of its factors and break it down into its prime factorization.
Last updated: September 5, 2026
Frequently asked questions
What are the factors of 360?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, and 360 - 24 factors in total.
What is the prime factorization of 360?
2 × 2 × 2 × 3 × 3 × 5 (or 2³ × 3² × 5) - breaking a number down into the prime numbers that multiply together to produce it.
How is this different from the GCD and LCM Calculator?
This tool finds every factor of a single number. The GCD and LCM Calculator instead compares two numbers to find their greatest common divisor and least common multiple - use that one if you're comparing two numbers rather than analyzing one.
How do you know when a number is prime?
A number is prime if its only factors are 1 and itself - enter it here and if the factor list contains only those two numbers (or the prime factorization shows just the number itself), it's prime.
What's a special case for factoring the number 1?
1 has only one factor - itself. It's neither prime nor composite by mathematical convention, since primality requires exactly two distinct factors (1 and itself).
How many factors does a prime number have?
Exactly two: 1 and the number itself. Entering a prime like 17 returns only the factors 1 and 17.
Is 'prime factorization' the same as 'listing all factors'?
No - prime factorization breaks a number down into only its prime building blocks (like 360 = 2³×3²×5), while the full factor list includes every number that divides it evenly, including composite divisors like 6, 12, and 90.