What is the prime factorization of 18? Choices: (A)2 × 3 (B)3 × 3 (C)2 × 3 × 3 (D)2 × 2 × 3 × 3

Check Prime Status: Step 1: Determine if 18 is a prime number. Since 18 can be divided by numbers other than 1 and itself, it is not a prime number. Divide by 2: Step 2: Start dividing 18 by the smallest prime number, which is 2. 18 ÷ 2 = 9. So, 2 is a prime factor. Check Prime Status: Step 3: Now, check if 9 is a prime number. Since 9 can be divided by 3, it's not a prime. Divide 9 by 3 to get 3. So, 3 is another prime factor. Final Prime Factorization: Step 4: We're left with 3. Since 3 is a prime number, it's also a prime factor. So, the prime factorization of 18 is 2 × 3 × 3.

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What is the prime factorization of $18$ ? $\newline$ Choices: $\newline$ (A) $2 \times 3$ $\newline$ (B) $3 \times 3$ $\newline$ (C) $2 \times 3 \times 3$ $\newline$ (D) $2 \times 2 \times 3 \times 3$

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Q. What is the prime factorization of

18

\newline

Choices:

\newline

(A)

2 \times 3

\newline

(B)

3 \times 3

\newline

(C)

2 \times 3 \times 3

\newline

(D)

2 \times 2 \times 3 \times 3

Check Prime Status: Step $1$ : Determine if $18$ is a prime number. Since $18$ can be divided by numbers other than $1$ and itself, it is not a prime number.
Divide by $2$ : Step $2$ : Start dividing $18$ by the smallest prime number, which is $2$ . $18 \div 2 = 9$ . So, $2$ is a prime factor.
Check Prime Status: Step $3$ : Now, check if $9$ is a prime number. Since $9$ can be divided by $3$ , it's not a prime. Divide $9$ by $3$ to get $3$ . So, $3$ is another prime factor.
Final Prime Factorization: Step $4$ : We're left with $3$ . Since $3$ is a prime number, it's also a prime factor. So, the prime factorization of $18$ is $2 \times 3 \times 3$ .