Prime Factorization Calculator

Calculate prime factorization with step-by-step solution using division method or factor trees

Prime Factorization

Method

Number

Enter any positive integer (whole number greater than 0)

Enter a number and click Find Prime Factors to see results

• Prime number: Only divisible by 1 and itself

• Composite number: Has factors other than 1 and itself

• Prime factorization: Express as product of primes

• Fundamental theorem: Every integer has unique prime factorization

• Division method: Divide by smallest primes

• Factor tree: Break into factor pairs

• Trial division: Test divisibility systematically

• Sieve methods: For multiple numbers

• Finding GCD and LCM

• Cryptography (RSA encryption)

• Simplifying fractions

• Number theory problems