 use a tree diagram to find the prime factor of 28

To find the prime factors of 28 using a tree diagram, we follow these steps:

1. **Start with 28**: Begin by breaking down 28 into two factors. Since 28 is an even number, we can divide it by 2, the smallest prime number.

2. **Divide 28 by 2**:  
   \[
   28 \div 2 = 14
   \]
   So, 28 becomes \(2 \times 14\).

3. **Now, break down 14**:  
   14 is also even, so divide it by 2 again:
   \[
   14 \div 2 = 7
   \]
   Now, 14 becomes \(2 \times 7\).

4. **Prime check for 7**:  
   7 is a prime number, so we stop here.

The prime factorization of 28 is:
\[
28 = 2 \times 2 \times 7 = 2^2 \times 7
\]

### Tree Diagram:
```
       28
      /  \
     2   14
        /  \
       2    7
```

The prime factors of 28 are \(2^2 \times 7\).

Would you like further details or clarifications?

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Here are 5 related questions to expand on this:

1. How do you check if a number is prime?
2. What is the prime factorization of 56 using a tree diagram?
3. Can you find the greatest common divisor (GCD) of 28 and 42 using prime factors?
4. How does the prime factorization help in finding the least common multiple (LCM)?
5. What are the prime factors of 100?

**Tip**: When creating a factor tree, always start dividing by the smallest prime number (2, 3, 5, etc.).

use a tree diagram to find the prime factor of 28

Learn how to find the prime factorization of 28 using a tree diagram. This step-by-step guide explains the process of breaking down 28 into its prime factors: 2^2 * 7. This math concept is ideal for students in Grades 5-7.

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