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How Prime Factorization Works
Formula
Prime factorization breaks a number into its prime building blocks. For example, 360 = 2^3 x 3^2 x 5.
Every positive integer greater than 1 has a unique prime factorization (Fundamental Theorem of Arithmetic).
Common use cases:
- Simplifying fractions to lowest terms
- Finding GCF and LCM via prime factors
- Cryptography and number theory
Frequently Asked Questions
Dr. David Park
Applied Mathematician, PhD Mathematics
David holds a PhD in Applied Mathematics from MIT. He has published research on numerical methods and computational algorithms used in engineering and scientific calculators.
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