Prime factor trees worksheet to complete factor trees and find prime factors for given numbers.

I'll solve the prime factor tree problems for each number shown in the image. Let me work through each one systematically.

First, I'll look at the number 30:
- 30 can be factored as 2 × 15
- 15 can be factored as 3 × 5
- So the prime factors of 30 are 2, 3, and 5

Next, I'll look at the number 12:
- 12 can be factored as 2 × 6
- 6 can be factored as 2 × 3
- So the prime factors of 12 are 2, 2, and 3 (or 2² × 3)

Now, let's examine the number 72:
- 72 can be factored as 8 × 9
- 8 can be factored as 2 × 4, and 4 as 2 × 2
- 9 can be factored as 3 × 3
- So the prime factors of 72 are 2, 2, 2, 3, and 3 (or 2³ × 3²)

For the number 270:
- 270 can be factored as 27 × 10
- 27 can be factored as 3 × 9, and 9 as 3 × 3
- 10 can be factored as 2 × 5
- So the prime factors of 270 are 2, 3, 3, 3, and 5 (or 2 × 3³ × 5)

For the number 48:
- 48 can be factored as 6 × 8
- 6 can be factored as 2 × 3
- 8 can be factored as 2 × 4, and 4 as 2 × 2
- So the prime factors of 48 are 2, 2, 2, 2, and 3 (or 2⁴ × 3)

Finally, for the number 24:
- 24 can be factored as 4 × 6
- 4 can be factored as 2 × 2
- 6 can be factored as 2 × 3
- So the prime factors of 24 are 2, 2, 2, and 3 (or 2³ × 3)

The solution involves completing each factor tree by breaking down each number into its prime factors until only prime numbers remain at the bottom of each tree.