The image shows a
factor tree for the number
63, and we are to analyze or solve the problem related to it.
Let’s break down the factor tree step by step:
---
Step 1: Understand the Factor Tree
A factor tree breaks down a number into its prime factors.
We start with
63 at the top.
- 63 is broken down into
3 × 21
- Then, 21 is broken down into
3 × 7
So the full breakdown is:
```
63
/ \
3 21
/ \
3 7
```
---
Step 2: Identify Prime Factors
Now, check if all the numbers at the bottom are
prime:
- 3 → prime
✔
- 3 → prime
✔
- 7 → prime
✔
So, the
prime factorization of 63 is:
>
63 = 3 × 3 × 7
Or in exponential form:
>
63 = 3² × 7
---
Final Answer:
✔ The
prime factorization of 63 is
3² × 7
This means that 63 is made up of two 3s and one 7 multiplied together.
---
If the task was to find the prime factorization, then this is the solution.
Let me know if there's another specific question (e.g., finding total factors, GCF, etc.), but based on the image, the main purpose is likely to
find the prime factors.
Parent Tip: Review the logic above to help your child master the concept of factor tree factorization of 63.
