Prime Factor Tree Worksheets - Free Printable

The image you uploaded appears to be a worksheet titled "Divide by Powers of Ten," which involves dividing numbers by powers of ten. The task is to fill in the missing values in each division tree. Below, I will explain how to solve these problems step by step.

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Key Concept: Dividing by Powers of Ten

When dividing a number by a power of ten (e.g., 10, 100, 1000), you move the decimal point to the left by the number of zeros in the power of ten:
- Dividing by 10 moves the decimal point 1 place to the left.
- Dividing by 100 moves the decimal point 2 places to the left.
- Dividing by 1000 moves the decimal point 3 places to the left, and so on.

If there are no visible decimal points, assume they are at the end of the number (e.g., 500 = 500.0).

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Step-by-Step Solution for Each Tree

#### Tree 1:
```
450
/ \
? ?
/ \ / \
? ? ? ?
```

1. Top Number: 450
2. First Division (by 10):
- Divide 450 by 10: \( 450 \div 10 = 45 \)
- So, the first branch is 45.
3. Second Division (by 10 again):
- Divide 45 by 10: \( 45 \div 10 = 4.5 \)
- So, the next branch is 4.5.
4. Third Division (by 10 again):
- Divide 4.5 by 10: \( 4.5 \div 10 = 0.45 \)
- So, the next branch is 0.45.
5. Fourth Division (by 10 again):
- Divide 0.45 by 10: \( 0.45 \div 10 = 0.045 \)
- So, the final branch is 0.045.

Completed Tree 1:
```
450
/ \
45 45
/ \ / \
4.5 4.5 0.45 0.45
/ \ / \
0.045 0.045
```

---

#### Tree 2:
```
720
/ \
? ?
/ \ / \
? ? ? ?
```

1. Top Number: 720
2. First Division (by 10):
- Divide 720 by 10: \( 720 \div 10 = 72 \)
- So, the first branch is 72.
3. Second Division (by 10 again):
- Divide 72 by 10: \( 72 \div 10 = 7.2 \)
- So, the next branch is 7.2.
4. Third Division (by 10 again):
- Divide 7.2 by 10: \( 7.2 \div 10 = 0.72 \)
- So, the next branch is 0.72.
5. Fourth Division (by 10 again):
- Divide 0.72 by 10: \( 0.72 \div 10 = 0.072 \)
- So, the final branch is 0.072.

Completed Tree 2:
```
720
/ \
72 72
/ \ / \
7.2 7.2 0.72 0.72
/ \ / \
0.072 0.072
```

---

#### Tree 3:
```
900
/ \
? ?
/ \ / \
? ? ? ?
```

1. Top Number: 900
2. First Division (by 10):
- Divide 900 by 10: \( 900 \div 10 = 90 \)
- So, the first branch is 90.
3. Second Division (by 10 again):
- Divide 90 by 10: \( 90 \div 10 = 9 \)
- So, the next branch is 9.
4. Third Division (by 10 again):
- Divide 9 by 10: \( 9 \div 10 = 0.9 \)
- So, the next branch is 0.9.
5. Fourth Division (by 10 again):
- Divide 0.9 by 10: \( 0.9 \div 10 = 0.09 \)
- So, the final branch is 0.09.

Completed Tree 3:
```
900
/ \
90 90
/ \ / \
9 9 0.9 0.9
/ \ / \
0.09 0.09
```

---

Final Answer:

The completed trees are as follows:

1. Tree 1:
```
450
/ \
45 45
/ \ / \
4.5 4.5 0.45 0.45
/ \ / \
0.045 0.045
```

2. Tree 2:
```
720
/ \
72 72
/ \ / \
7.2 7.2 0.72 0.72
/ \ / \
0.072 0.072
```

3. Tree 3:
```
900
/ \
90 90
/ \ / \
9 9 0.9 0.9
/ \ / \
0.09 0.09
```

Boxed Final Answer:
\[
\boxed{
\text{See the completed trees above.}
}
\]