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Prime factorisation (or prime factoring) expresses a composite number as a product of prime numbers. Every positive integer greater than 1 has a unique prime factorisation — this is the Fundamental Theorem of Arithmetic. Prime factors are used in GCD/LCM calculations, cryptography, and number theory.
Guía paso a paso
- 1Divide by the smallest prime (2) repeatedly until no longer divisible
- 2Move to next prime (3, 5, 7, 11...) and repeat
- 3Continue until quotient is 1
- 4All divisors used are the prime factors
Ejemplos resueltos
Preguntas frecuentes
What is Prime Factors?
Prime factorisation (or prime factoring) expresses a composite number as a product of prime numbers. Every positive integer greater than 1 has a unique prime factorisation — this is the Fundamental Theorem of Arithmetic
How accurate is the Prime Factors calculator?
The calculator uses the standard published formula for prime factors. Results are accurate to the precision of the inputs you provide. For financial, medical, or legal decisions, always verify with a qualified professional.
What units does the Prime Factors calculator use?
This calculator works with inches. You can enter values in the units shown — the calculator handles all conversions internally.
What formula does the Prime Factors calculator use?
The calculator applies the standard formula for this type of calculation. See the 'How It Works' steps above for the detailed formula breakdown.