Factor Tree Worksheets page - Free Printable

To solve the problem, we need to fill in the missing numbers in the prime factor trees and then write the prime factorization product for each number. Let's go through each problem step by step.

1) Factor Tree for 15

- Start with 15.
- Break it down into two factors: \( 15 = 3 \times 5 \).
- Both 3 and 5 are prime numbers.

Prime Factorization: \( 15 = 3 \times 5 \)

2) Factor Tree for 14

- Start with 14.
- Break it down into two factors: \( 14 = 2 \times 7 \).
- Both 2 and 7 are prime numbers.

Prime Factorization: \( 14 = 2 \times 7 \)

3) Factor Tree for 33

- Start with 33.
- Break it down into two factors: \( 33 = 3 \times 11 \).
- Both 3 and 11 are prime numbers.

Prime Factorization: \( 33 = 3 \times 11 \)

4) Factor Tree for 12

- Start with 12.
- Break it down into two factors: \( 12 = 2 \times 6 \).
- Now break down 6: \( 6 = 2 \times 3 \).
- All factors are now prime: \( 2, 2, 3 \).

Prime Factorization: \( 12 = 2 \times 2 \times 3 \)

5) Factor Tree for 30

- Start with 30.
- Break it down into two factors: \( 30 = 2 \times 15 \).
- Now break down 15: \( 15 = 3 \times 5 \).
- All factors are now prime: \( 2, 3, 5 \).

Prime Factorization: \( 30 = 2 \times 3 \times 5 \)

6) Factor Tree for 27

- Start with 27.
- Break it down into two factors: \( 27 = 3 \times 9 \).
- Now break down 9: \( 9 = 3 \times 3 \).
- All factors are now prime: \( 3, 3, 3 \).

Prime Factorization: \( 27 = 3 \times 3 \times 3 \)

7) Factor Tree for 20

- Start with 20.
- Break it down into two factors: \( 20 = 2 \times 10 \).
- Now break down 10: \( 10 = 2 \times 5 \).
- All factors are now prime: \( 2, 2, 5 \).

Prime Factorization: \( 20 = 2 \times 2 \times 5 \)

8) Factor Tree for 28

- Start with 28.
- Break it down into two factors: \( 28 = 2 \times 14 \).
- Now break down 14: \( 14 = 2 \times 7 \).
- All factors are now prime: \( 2, 2, 7 \).

Prime Factorization: \( 28 = 2 \times 2 \times 7 \)

9) Factor Tree for 45

- Start with 45.
- Break it down into two factors: \( 45 = 5 \times 9 \).
- Now break down 9: \( 9 = 3 \times 3 \).
- All factors are now prime: \( 5, 3, 3 \).

Prime Factorization: \( 45 = 5 \times 3 \times 3 \)

Final Answers:

1. \( 15 = 3 \times 5 \)
2. \( 14 = 2 \times 7 \)
3. \( 33 = 3 \times 11 \)
4. \( 12 = 2 \times 2 \times 3 \)
5. \( 30 = 2 \times 3 \times 5 \)
6. \( 27 = 3 \times 3 \times 3 \)
7. \( 20 = 2 \times 2 \times 5 \)
8. \( 28 = 2 \times 2 \times 7 \)
9. \( 45 = 5 \times 3 \times 3 \)

\[
\boxed{
\begin{array}{ccc}
1) & 15 = 3 \times 5 \\
2) & 14 = 2 \times 7 \\
3) & 33 = 3 \times 11 \\
4) & 12 = 2 \times 2 \times 3 \\
5) & 30 = 2 \times 3 \times 5 \\
6) & 27 = 3 \times 3 \times 3 \\
7) & 20 = 2 \times 2 \times 5 \\
8) & 28 = 2 \times 2 \times 7 \\
9) & 45 = 5 \times 3 \times 3 \\
\end{array}
}
\]