Factors Worksheets | Printable Factors and Multiples Worksheets - Free Printable

Let's solve each problem step by step to find the prime factors of the given numbers using factor trees.

---

1) 20

We start by breaking down 20 into two factors:

- 20 = 2 × 10
- 10 = 2 × 5

Now, all factors are prime.

So:
- Prime factors: 2 × 2 × 5 = 20

Factor Tree:
```
20
/ \
2 10
/ \
2 5
```

✔ Prime Factors: 2 × 2 × 5

---

2) 99

Break down 99:

- 99 = 3 × 33
- 33 = 3 × 11

All are now prime.

So:
- Prime factors: 3 × 3 × 11 = 99

Factor Tree:
```
99
/ \
3 33
/ \
3 11
```

✔ Prime Factors: 3 × 3 × 11

---

3) 45

Break down 45:

- 45 = 5 × 9
- 9 = 3 × 3

All are prime.

So:
- Prime factors: 5 × 3 × 3 = 45

Factor Tree:
```
45
/ \
5 9
/ \
3 3
```

✔ Prime Factors: 5 × 3 × 3

---

4) 28

Break down 28:

- 28 = 2 × 14
- 14 = 2 × 7

All are prime.

So:
- Prime factors: 2 × 2 × 7 = 28

Factor Tree:
```
28
/ \
2 14
/ \
2 7
```

✔ Prime Factors: 2 × 2 × 7

---

5) 52

Break down 52:

- 52 = 2 × 26
- 26 = 2 × 13

All are prime.

So:
- Prime factors: 2 × 2 × 13 = 52

Factor Tree:
```
52
/ \
2 26
/ \
2 13
```

✔ Prime Factors: 2 × 2 × 13

---

6) 30

Break down 30:

- 30 = 2 × 15
- 15 = 3 × 5

All are prime.

So:
- Prime factors: 2 × 3 × 5 = 30

Factor Tree:
```
30
/ \
2 15
/ \
3 5
```

✔ Prime Factors: 2 × 3 × 5

---

✔ Final Answers:

| Number | Prime Factors |
|--------|----------------|
| 1) 20 | 2 × 2 × 5 |
| 2) 99 | 3 × 3 × 11 |
| 3) 45 | 5 × 3 × 3 |
| 4) 28 | 2 × 2 × 7 |
| 5) 52 | 2 × 2 × 13 |
| 6) 30 | 2 × 3 × 5 |

---

📝 Instructions for Filling in the Worksheet:

For each number, fill in the factor tree with:

- The first split (e.g., 20 → 2 and 10)
- Then break down the composite number further (e.g., 10 → 2 and 5)
- Leave primes as they are (circles)

Then write the prime factorization in the line below.

Example for #1:

```
20
/ \
2 10
/ \
2 5
```

And under it: 2 × 2 × 5 = 20

Repeat similarly for others.

Let me know if you'd like a printable version or help filling in the worksheet!