Question
Complete the factor tree with whole numbers to create a factor tree for 72.
72
3x _^_
3x _^_
2x _^_
_x _^_
72
3x _^_
3x _^_
2x _^_
_x _^_
Answers
GPT-4o mini
To complete the factor tree for 72, we start by breaking it down into its prime factors.
1. We can start with \(72\) and divide it by \(8\) (since \(72 = 8 \times 9\)):
- \(72\)
- \(3 \times 24\)
- \(3\)
- \(2 \times 12\)
- \(2\)
- \(2 \times 6\)
- \(2\)
- \(3 \times 2\)
So the complete factor tree for \(72\) with prime numbers would be:
```
72
/ \
8 9
/ \ / \
2 4 3 3
/ \
2 2
```
Now, if we arrange this to match your provided structure:
```
72
/ \
3 24
/ \
3 8
/ \
2 4
/ \
2 2
```
Thus, the tree gives us the prime factorization: \(72 = 3^2 \times 2^3\).
1. We can start with \(72\) and divide it by \(8\) (since \(72 = 8 \times 9\)):
- \(72\)
- \(3 \times 24\)
- \(3\)
- \(2 \times 12\)
- \(2\)
- \(2 \times 6\)
- \(2\)
- \(3 \times 2\)
So the complete factor tree for \(72\) with prime numbers would be:
```
72
/ \
8 9
/ \ / \
2 4 3 3
/ \
2 2
```
Now, if we arrange this to match your provided structure:
```
72
/ \
3 24
/ \
3 8
/ \
2 4
/ \
2 2
```
Thus, the tree gives us the prime factorization: \(72 = 3^2 \times 2^3\).