Question
Complete the factor tree with whole numbers to create a factor tree for 72. (2 points)
Remaining Attempts : 3
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Remaining Attempts : 3
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Answers
GPT-4o mini
To create a factor tree for the number 72, we start by finding its prime factors.
1. Divide 72 by the smallest prime number, which is 2:
\[ 72 ÷ 2 = 36 \]
2. Next, we can keep breaking down the factors. Since 36 is also even, we divide by 2 again:
\[ 36 ÷ 2 = 18 \]
3. Repeat the process with 18:
\[ 18 ÷ 2 = 9 \]
4. Now, we have 9, which is not divisible by 2, so we move to the next smallest prime number, which is 3:
\[ 9 ÷ 3 = 3 \]
5. Finally, we can divide 3 by itself:
\[ 3 ÷ 3 = 1 \]
The complete factor tree for 72 can be represented as follows:
```
72
/ \
2 36
/ \
2 18
/ \
2 9
/ \
3 3
```
In prime factor form, 72 = \( 2^3 \times 3^2 \).
1. Divide 72 by the smallest prime number, which is 2:
\[ 72 ÷ 2 = 36 \]
2. Next, we can keep breaking down the factors. Since 36 is also even, we divide by 2 again:
\[ 36 ÷ 2 = 18 \]
3. Repeat the process with 18:
\[ 18 ÷ 2 = 9 \]
4. Now, we have 9, which is not divisible by 2, so we move to the next smallest prime number, which is 3:
\[ 9 ÷ 3 = 3 \]
5. Finally, we can divide 3 by itself:
\[ 3 ÷ 3 = 1 \]
The complete factor tree for 72 can be represented as follows:
```
72
/ \
2 36
/ \
2 18
/ \
2 9
/ \
3 3
```
In prime factor form, 72 = \( 2^3 \times 3^2 \).