OpenOlympiad
Concept 4 of 8Foundation
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Prime factorization (factor tree)

Every whole number > 1 can be written as a product of primes in exactly ONE way. That's its "DNA."

Draw a factor tree: keep splitting until only primes remain.

Example
84 = 2 × 42 = 2 × 2 × 21 = 2 × 2 × 3 × 7 = 2² × 3 × 7.
100 = 2 × 2 × 5 × 5 = 2² × 5².
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💡 Tip:Always start with the smallest prime (2) and work up.
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5 questions to check what you just read.

0 / 5
  1. Q1.Prime factorization of 60:
  2. Q2.Prime factorization of 100:
  3. Q3.Prime factors of 84:
  4. Q4.Prime factorization of 72:
  5. Q5.Number of factors of 72 = (3+1)(2+1) = ?