To find the prime factors of 2145, follow these steps:

1. **Divide by 5:**  
   \( 2145 \div 5 = 429 \)  
   So, 5 is a prime factor.

2. **Divide 429 by 3:**  
   \( 429 \div 3 = 143 \)  
   So, 3 is another prime factor.

3. **Divide 143 by 11:**  
   \( 143 \div 11 = 13 \)  
   So, 11 is another prime factor.

4. **Check if 13 is a prime number:**  
   13 is a prime number.

So, the prime factors of 2145 are **5, 3, 11, and 13**.

The prime factorization of 2145 is:
\[
2145 = 5 \times 3 \times 11 \times 13
\]

Would you like more details or have any questions?

Here are some related questions you might find interesting:
1. What is the prime factorization of 4200?
2. How do you find the least common multiple (LCM) using prime factors?
3. What are the prime factors of 3570?
4. How do you determine if a large number is prime?
5. How can prime factorization be used to simplify fractions?

**Tip:** When finding prime factors, always start dividing by the smallest prime numbers (2, 3, 5, etc.) and continue until the result is 1.

Discover how to find the prime factors of 2145 using prime factorization. This detailed step-by-step guide walks you through dividing by the smallest prime numbers, including 5, 3, 11, and 13. Perfect for students in Grades 6-8 learning about number theory.

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