Question
The factor tree below provides the factors of 18.
A factor tree of 18. 18 branches to 2 and 9. 9 branches to 3 and 3.
What is the prime factorization of 18?
2 times 3
2 times 9
2 times 3 times 3
2 times 3 times 9
A factor tree of 18. 18 branches to 2 and 9. 9 branches to 3 and 3.
What is the prime factorization of 18?
2 times 3
2 times 9
2 times 3 times 3
2 times 3 times 9
Answers
GPT-4o mini
The prime factorization of 18 is the product of its prime factors. From the factor tree you provided:
- 18 branches into 2 and 9.
- 9 further branches into 3 and 3.
So, the prime factors of 18 are 2 and 3 (with 3 appearing twice).
Therefore, the prime factorization of 18 can be expressed as:
\[ 2 \times 3 \times 3 \]
or
\[ 2 \times 3^2. \]
So the correct answer from your options is:
**2 times 3 times 3.**
- 18 branches into 2 and 9.
- 9 further branches into 3 and 3.
So, the prime factors of 18 are 2 and 3 (with 3 appearing twice).
Therefore, the prime factorization of 18 can be expressed as:
\[ 2 \times 3 \times 3 \]
or
\[ 2 \times 3^2. \]
So the correct answer from your options is:
**2 times 3 times 3.**