Final answer:
The prime factorization of 97 is 97.
Step-by-step explanation:
To find the prime factorization of 97, we need to determine the prime numbers that divide 97 evenly. Starting with the smallest prime number, which is 2, we find that 97 is not divisible by 2. Moving on to the next prime number, which is 3, we again find that 97 is not divisible by 3. Continuing this process, we find that 97 is not divisible by any prime numbers less than its square root, which is approximately 9.85. Therefore, the prime factorization of 97 is just 97 itself, since it does not have any factors other than 1 and itself.