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PRIME FACTORIZATION

Break numbers into their prime factor trees.

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PRIME FACTORIZATION WITH FACTOR TREES

Every composite number can be written as a product of prime numbers. A factor tree helps you find them: split the number into any two factors, then keep splitting until every leaf is prime. 36 > 2×18 > 2×(2×9) > 2×2×(3×3) = 2²×3².

Prime factorization of 36

136 = 2 × 18

218 = 2 × 9

39 = 3 × 3

436 = 2 × 2 × 3 × 3 = 2² × 3²

= 2² × 3²

LEADER TIP

Draw factor trees - split each number into two factors, then split again until every leaf is prime. It's like a number family tree.

BEFORE THIS LESSON, TRY

🧩Factors & Primes 🔗Inverse Multiplication

PRACTICE WITH THESE GAMES

🔍Factor Finder 🔎Prime Hunt 🎯Division Quiz

Want more practice? Generate printable worksheets with similar problems.

Go to Worksheets

PRIME FACTORIZATION

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