A factorization is prime when all the factors are prime numbers (those which only have itself and 1 as factors).
For example,
2 X 4 and 2 X 2 X 2 are both factorizations of 8. Only 2 X 2 X 2 is a prime factorization because 2 X 4 includes the composite number 4.
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When all the factors are prime numbers, that's a prime factorization.
a prime factorization tree
397 is a prime number, therefore prime factorization of 397 = 397.
Prime factorization of the number 54 is 2 x 33.
The prime factorization of the number 26 is: 2 x 13