Final answer:
The prime factorization of 104 is 2³ • 13, which only includes prime numbers. Options B and C include non-prime numbers and are therefore not prime factorizations of 104. Option A is the correct prime factorization.
Step-by-step explanation:
The student's question deals with determining whether each of the given factorizations is a prime factorization of the number 104. The key to solving this problem is understanding that a prime factorization is an expression of a number as the product of its prime factors. For example, the prime factorization of 104 can be determined by finding its prime factors.
First, let's find the prime factors of 104:
104 = 2 x 52
52 = 2 x 26
26 = 2 x 13
So, 104 = 2 x 2 x 2 x 13 or 23 x 13. This is the prime factorization of 104, as it only contains prime numbers.
Now let's evaluate the given options:
A) 23 • 13
B) 2 • 52 -- 52 is not a prime number, this is not a prime factorization.
C) 2 • 2 • 26 -- 26 is not a prime number, this is not a prime factorization.
Only option A is the correct prime factorization of 104.