Question
What is the prime factorization for 18?
A.
2 × 9
B.
22 × 3
C.
2 × 32
D.
3 × 6
A.
2 × 9
B.
22 × 3
C.
2 × 32
D.
3 × 6
Answers
GPT-4o mini
The prime factorization of 18 is obtained by breaking it down into its prime factors.
18 can be factored as follows:
- 18 = 2 × 9
- Then factor 9 further: 9 = 3 × 3
So, the complete prime factorization of 18 is:
\[ 18 = 2 \times 3^2 \]
Among the options given, option A (2 × 9) is a composite factorization rather than a prime factorization, but it does include the prime factor 2.
None of the options provided strictly express the full prime factorization, but A is the closest, as it starts with a prime factor (2) even though 9 is not prime.
If the question strictly demands the prime factorization without considering intermediary composite forms, then there's no correct answer among the provided choices. However, if considering forms that include prime factors, A (2 × 9) is relevant.
18 can be factored as follows:
- 18 = 2 × 9
- Then factor 9 further: 9 = 3 × 3
So, the complete prime factorization of 18 is:
\[ 18 = 2 \times 3^2 \]
Among the options given, option A (2 × 9) is a composite factorization rather than a prime factorization, but it does include the prime factor 2.
None of the options provided strictly express the full prime factorization, but A is the closest, as it starts with a prime factor (2) even though 9 is not prime.
If the question strictly demands the prime factorization without considering intermediary composite forms, then there's no correct answer among the provided choices. However, if considering forms that include prime factors, A (2 × 9) is relevant.