Prime Factorization Calculator
Break any number into its prime factors (e.g. 360 = 2³ × 3² × 5) and check whether a number is prime.
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Prime Factors—
Number of Divisors—
Prime Factorization
Every integer greater than 1 is either prime or a unique product of primes (the fundamental theorem of arithmetic). The tool divides out 2s, then odd candidates up to √n, and prints the result in exponent form — 360 = 2³ × 3² × 5. If nothing divides it, the number itself is prime.
Frequently Asked Questions
Is 1 a prime number?
No. Primes have exactly two distinct divisors; 1 has only one. Excluding it keeps prime factorizations unique.
What is factorization used for?
Simplifying fractions, finding GCD/LCM, and it underpins RSA cryptography — factoring huge numbers is famously hard, which keeps encrypted traffic safe.
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Prime Factorization Calculator