Significant Figures Calculator
Count & round sig figs.
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Prime Factorization Calculator
Break any whole number into its prime factors.
Prime factorization
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Product of primes.
| Distinct primes | — |
|---|---|
| All factors | — |
| Number | — |
| — |
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How the Prime Factorization Calculator Works
Every whole number greater than 1 is either prime or can be written as a unique product of primes — that’s the fundamental theorem of arithmetic. To find it, divide by the smallest prime that fits (2, then 3, 5, 7…) as many times as possible, then move up, until only 1 remains. So 60 = 2² × 3 × 5.
This calculator does that repeated division and writes the result with exponents, and it also counts the distinct primes and the total number of prime factors.
divide by 2, 3, 5, 7… until only 1 remains
Frequently Asked Questions
What is prime factorization?
Writing a number as a product of prime numbers. 60 = 2 × 2 × 3 × 5, or 2² × 3 × 5.
How do you find prime factors?
Divide by the smallest prime that goes in evenly, repeat with the quotient, and continue with larger primes until you reach 1.
Is the prime factorization unique?
Yes — every number above 1 has exactly one prime factorization, apart from the order of the factors.
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