Because the prime decomposition of primes is trivial and pointless.
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Prime factorization never includes a composite number. All numbers in prime factorization must be prime numbers.
Since prime numbers only have one prime factor (themselves), they don't have prime factorizations.
Prime factorization is writing a composite number as a product of prime numbers.
the prime factorization
Not necessarily. The prime factorization of the composite number 10 is 2 x 5. Composite numbers have three or more factors.