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Prime factorisation expresses a composite number as a unique product of primes (Fundamental Theorem of Arithmetic). Used in LCM, GCF calculations, cryptography, and simplifying fractions.

단계별 가이드

  1. 1Trial division: test primes 2, 3, 5, 7... up to √n
  2. 2Divide out each prime factor repeatedly
  3. 3Express with exponents: 360 = 2³ × 3² × 5

풀어진 예시

입력
360
결과
2³ × 3² × 5
360÷2=180÷2=90÷2=45÷3=15÷3=5

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