How we worked it out
Updated as you change the numbers.
- Divide by 2 as often as possible, then 3, then 5, 7, 11, … up to the square root of what is left; anything left over is prime.
- Factors come in pairs d × (n ÷ d), so testing up to √360 ≈ 19 finds them all.
Method and assumptions
Prime factorization uses trial division by 2, 3 and numbers of the form 6k ± 1 up to the square root. Every whole number above 1 has exactly one prime factorization. The number of factors follows from it: for 360 = 2³ × 3² × 5, it is (3 + 1)(2 + 1)(1 + 1) = 24.
Questions
What is the prime factorization of 360?
2³ × 3² × 5. 360 has 24 factors.
Sources
Method and figures checked on . Every worked answer on this page is covered by an automated test. Found a mistake? Tell us.