What is the prime factorization of 12? Choices: (A)2 × 3 × 4 (B)2 × 2 × 2 × 3 (C)2 × 3 (D)2 × 2 × 3

Check Primality: Step 1: Determine if 12 is a prime number. Since 12 can be divided by 1, 2, 3, 4, 6, and 12, it is not a prime number. Divide by 2: Step 2: Start dividing 12 by the smallest prime number, which is 2. 12 ÷ 2 = 6. Continue Division: Step 3: Continue dividing the result by 2. 6 ÷ 2 = 3. Divide by 3: Step 4: Now, divide 3 by itself since 3 is a prime number. 3 ÷ 3 = 1. Identify Prime Factors: Step 5: Since we've reached 1, we've found all prime factors. The prime factors of 12 are 2, 2, and 3.

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What is the prime factorization of $12$ ? $\newline$ Choices: $\newline$ (A) $2 \times 3 \times 4$ $\newline$ (B) $2 \times 2 \times 2 \times 3$ $\newline$ (C) $2 \times 3$ $\newline$ (D) $2 \times 2 \times 3$

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Q. What is the prime factorization of

12

\newline

Choices:

\newline

(A)

2 \times 3 \times 4

\newline

(B)

2 \times 2 \times 2 \times 3

\newline

(C)

2 \times 3

\newline

(D)

2 \times 2 \times 3

Check Primality: Step $1$ : Determine if $12$ is a prime number. Since $12$ can be divided by $1$ , $2$ , $3$ , $4$ , $6$ , and $12$ , it is not a prime number.
Divide by $2$ : Step $2$ : Start dividing $12$ by the smallest prime number, which is $2$ . $12 \div 2 = 6$ .
Continue Division: Step $3$ : Continue dividing the result by $2$ . $6 \div 2 = 3$ .
Divide by $3$ : Step $4$ : Now, divide $3$ by itself since $3$ is a prime number. $3 \div 3 = 1$ .
Identify Prime Factors: Step $5$ : Since we've reached $1$ , we've found all prime factors. The prime factors of $12$ are $2$ , $2$ , and $3$ .