using the tree diagram  find the prime factor of 28

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

1. **Start with 28**: Begin by dividing 28 by the smallest prime number, 2.
   - 28 ÷ 2 = 14

2. **Factor 14**: Now, divide 14 by the smallest prime number again, which is 2.
   - 14 ÷ 2 = 7

3. **Factor 7**: The number 7 is a prime number, so it can't be divided any further by any prime numbers except itself.

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

The prime factors of 28 are **2 × 2 × 7**, or in exponential form, **2² × 7**.

Would you like more details or have any questions?

Here are some related questions to expand on this:

1. What are the prime factors of 56?
2. How can you use prime factorization to find the greatest common divisor (GCD)?
3. What is the prime factorization of 100?
4. How would you use a factor tree to factorize 36?
5. Can prime factorization be used to simplify fractions?

**Tip**: Prime factorization is useful for finding the least common multiple (LCM) and greatest common divisor (GCD) of two numbers.

Using the tree diagram find the prime factor of 28.

Discover how to find the prime factors of 28 using a tree diagram. This problem involves key number theory concepts and demonstrates how to break down a composite number into its prime factors. Suitable for Grades 5-7, this tutorial covers prime factorization and the Fundamental Theorem of Arithmetic.

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