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I see the worksheet asks for the prime factorization of various numbers and for completing missing numbers in factorizations. Let's go through the problems:

### Prime Factorization of the Given Numbers:
1. **56**:  
   Prime factorization:  
   \( 56 = 2^3 \times 7 \)

2. **30**:  
   Prime factorization:  
   \( 30 = 2 \times 3 \times 5 \)

3. **21**:  
   Prime factorization:  
   \( 21 = 3 \times 7 \)

4. **19**:  
   Prime factorization:  
   \( 19 = 19 \) (since 19 is a prime number)

5. **72**:  
   Prime factorization:  
   \( 72 = 2^3 \times 3^2 \)

6. **48**:  
   Prime factorization:  
   \( 48 = 2^4 \times 3 \)

### Completing the Missing Numbers:
7. **60 = 2 × 2 × 3 × 5**  
   The missing number is **2**.

8. **135 = 3 × 3 × 3 × 5**  
   The missing number is **3**.

9. **32 = 2 × 2 × 2 × 2 × 2**  
   The missing number is **2**.

10. **44 = 4 × 11**  
    The missing number is **11**.

Would you like more detailed explanations for any of these steps or further clarifications?

Here are 5 related questions for practice:
1. What is the prime factorization of 84?
2. How can you verify if a number is prime?
3. What is the prime factorization of 90?
4. If a number has only two factors, what can you infer about it?
5. How is prime factorization useful in finding the greatest common divisor (GCD)?

**Tip**: When doing prime factorization, always start by dividing by the smallest prime number (2), and then work upwards!

Prime factorization problems on a worksheet, including numbers like 56, 30, 21, 19, 72, 48, and missing numbers for factorizations of 60, 135, 32, and 44.

Learn how to find the prime factorization of numbers like 56, 30, 21, 19, 72, and 48. Complete missing numbers in prime factorization problems for 60, 135, 32, and 44. This worksheet covers key math concepts suitable for students in Grades 6-8.

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