Draw a factor tree of the numbers 85, 90 and 76 that are prime

Let's break down the numbers 85, 90, and 76 into their prime factors using a factor tree.

### 1. **Prime Factor Tree for 85**:
- Start by dividing 85 by the smallest prime number that divides it, which is 5.
  - \( 85 \div 5 = 17 \)
- Now, 17 is a prime number, so we stop here.
- **Prime factors of 85**: 5, 17

**Factor Tree**:
```
     85
    /  \
   5   17
```

### 2. **Prime Factor Tree for 90**:
- Start by dividing 90 by the smallest prime number that divides it, which is 2.
  - \( 90 \div 2 = 45 \)
- Then divide 45 by the smallest prime number, which is 3.
  - \( 45 \div 3 = 15 \)
- Continue dividing 15 by 3.
  - \( 15 \div 3 = 5 \)
- Now, 5 is a prime number, so we stop here.
- **Prime factors of 90**: 2, 3, 3, 5

**Factor Tree**:
```
       90
      /  \
     2   45
        /  \
       3   15
          /  \
         3   5
```

### 3. **Prime Factor Tree for 76**:
- Start by dividing 76 by the smallest prime number, which is 2.
  - \( 76 \div 2 = 38 \)
- Divide 38 by 2 again.
  - \( 38 \div 2 = 19 \)
- Now, 19 is a prime number, so we stop here.
- **Prime factors of 76**: 2, 2, 19

**Factor Tree**:
```
       76
      /  \
     2   38
        /  \
       2   19
```

If you have any questions or need more details on any part, feel free to ask!

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### Relative Questions:
1. What is a prime number and why is it important in factorization?
2. How would you factorize composite numbers that are much larger?
3. How does the factor tree method help in finding the least common multiple (LCM)?
4. What is the difference between a factor tree and a division method for prime factorization?
5. Can you use prime factorization to solve problems related to GCD (Greatest Common Divisor)?

**Tip**: Always start with the smallest prime number when creating a factor tree!

Learn how to draw prime factor trees for the numbers 85, 90, and 76 with step-by-step solutions. Understand the process of prime factorization using factor trees and explore the prime factors of these numbers. This is an essential skill in number theory, ideal for students in Grades 6-8.

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