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Prime Factorization Calculator
Break a positive whole number into prime factors. See prime powers, repeated factors, the division ladder and how many positive divisors it has. The arithmetic runs locally in your browser.
How do you find the prime factorization of a number?
Divide by the smallest prime that divides the number, then repeat with the quotient until the remaining value is prime. For example, 360 = 2³ × 3² × 5.
Frequently asked questions
How do you find the prime factorization of a number?
Divide by the smallest prime that divides the number, then repeat with the quotient until the remaining value is prime. For example, 360 = 2³ × 3² × 5.
Are my numbers uploaded?
No. The calculation runs in this browser and this tool does not upload or save your input.
What is the prime factorization of 360?
360 = 2³ × 3² × 5. Its repeated-prime form is 2 × 2 × 2 × 3 × 3 × 5.
How many divisors does a number have?
If its prime powers are pᵃ × qᵇ, the divisor count is (a + 1)(b + 1). This calculator shows the count for the supported positive integer.
Can it factor any size of number?
This browser tool accepts whole numbers from 1 through 1,000,000,000,000. Larger values are outside its stated range.