Final answer:
Prime factorization is the process of breaking down a number into its prime factors using a factor tree. Since the provided text did not specify a number, a general explanation and example with the number 24 were given.
Step-by-step explanation:
The prime factorization of a given number using a factor tree. Unfortunately, the actual number to perform the factorization on was not provided, resulting in an inability to complete the specific task. However, I can explain the concept: prime factorization involves breaking down a number into its prime number factors. For instance, the prime factorization of 24 using a factor tree is:
- Start by dividing 24 by the smallest prime number that can divide it, which is 2.
- 24 ÷ 2 = 12, write down 2 as a prime factor.
- Now take 12 and divide it by 2 again.
- 12 ÷ 2 = 6, write down another 2.
- Continue with 6, which is also divisible by 2.
- 6 ÷ 2 = 3, and 3 is a prime number, so you write that down as well.
Now you have 24 = 2 x 2 x 2 x 3 or 24 = 23 x 3. This is the prime factorization of 24. With this method, you can factor any given number into its prime factors using a factor tree.