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The problem asks to complete the factor trees by breaking down each number into its prime factors. Let's solve each part step by step:

### (a) 75:
- 75 = 3 × 25
- 25 = 5 × 5
- Prime factors: 3, 5, 5

### (b) 108:
- 108 = 2 × 54
- 54 = 2 × 27
- 27 = 3 × 9
- 9 = 3 × 3
- Prime factors: 2, 2, 3, 3, 3

### (c) 50:
- 50 = 2 × 25
- 25 = 5 × 5
- Prime factors: 2, 5, 5

### (d) 56:
- 56 = 2 × 28
- 28 = 2 × 14
- 14 = 2 × 7
- Prime factors: 2, 2, 2, 7

### (e) 84:
- 84 = 2 × 42
- 42 = 2 × 21
- 21 = 3 × 7
- Prime factors: 2, 2, 3, 7

### (f) 88:
- 88 = 2 × 44
- 44 = 2 × 22
- 22 = 2 × 11
- Prime factors: 2, 2, 2, 11

### (g) 90:
- 90 = 2 × 45
- 45 = 3 × 15
- 15 = 3 × 5
- Prime factors: 2, 3, 3, 5

### (h) 32:
- 32 = 2 × 16
- 16 = 2 × 8
- 8 = 2 × 4
- 4 = 2 × 2
- Prime factors: 2, 2, 2, 2, 2

Would you like any further details or have any questions?

Here are 5 related questions:
1. Can you verify the difference between prime and composite numbers?
2. How do you identify the smallest prime factor in any number?
3. Why are prime factors essential in breaking down numbers?
4. How can factor trees help in simplifying fractions?
5. How would the factor tree change for a larger number like 144?

**Tip:** Always start with the smallest prime number (2) when performing prime factorization, and move to the next primes if necessary.

Use the following factor trees to express each number in the top square as a product of its prime factors. Place the prime factors in the circles in each diagram.

Explore how to use factor trees to break down numbers like 75, 108, 50, and others into their prime factors. Learn step-by-step prime factorization with examples and applications suitable for Grades 5-7.

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