Primes & Prime Factorization

Every positive integer greater than 1 decomposes uniquely into prime building blocks.

What you'll learn

  • Distinguish prime, composite, and the special number 1 by counting positive divisors.
  • Build a complete prime factorization by splitting every composite factor.
  • Explain why different factor-tree paths produce the same prime multiset.
  • Use exponents to record repeated prime factors and reconstruct the original number.

Before you start

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