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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.

Пошаговое руководство

  1. 1Divide by the smallest prime (2) repeatedly until no longer divisible
  2. 2Move to next prime (3, 5, 7, 11...) and repeat
  3. 3Continue until quotient is 1
  4. 4All divisors used are the prime factors

Решённые примеры

Ввод
360
Результат
2³ × 3² × 5
360 → 180→90→45→15→5 (dividing by 2,2,2,3,3,5)
Ввод
1001
Результат
7 × 11 × 13
Not obvious — test primes systematically

Часто задаваемые вопросы

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.

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