Prime Factorization

The Fundamental Theorem of Arithmetic states that every positive integer can factored into primes uniquely, and in only one way (ignoring the order of multiplication). That is, for any positive whole number, \( n \), there exists only one possible prime factorization.

For example:

\[ 588 = 2^2 \times 3 \times 7^2 \]

and it is not possible to write 588 as some other product of prime factors (e.g., \( 588 \neq 2^2 \times 11 \times 13 \) ).

Note by Arron Kau
3 years, 10 months ago

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