What is the prime factorization of 6? Choices: (A)2 × 3 × 3 (B)2 × 3 (C)6 (D)2

Check Prime Status: Step 1: Determine if 6 is a prime number. Since 6 can be divided by 2 and 3, it is not a prime number. Find Prime Factors: Step 2: Find the prime factors of 6. Start by dividing 6 by the smallest prime number, 2. 6 ÷ 2 = 3. Check Quotient: Step 3: Check if the quotient, 3, is a prime number. Since 3 can only be divided by 1 and itself, it is a prime number. Combine Prime Factors: Step 4: Combine the prime factors. The prime factorization of 6 is 2 multiplied by 3, which is written as 2 × 3.

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What is the prime factorization of $6$ ? $\newline$ Choices: $\newline$ (A) $2 \times 3 \times 3$ $\newline$ (B) $2 \times 3$ $\newline$ (C) $6$ $\newline$ (D) $2$

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Q. What is the prime factorization of

6

\newline

Choices:

\newline

(A)

2 \times 3 \times 3

\newline

(B)

2 \times 3

\newline

(C)

6

\newline

(D)

2

Check Prime Status: Step $1$ : Determine if $6$ is a prime number. Since $6$ can be divided by $2$ and $3$ , it is not a prime number.
Find Prime Factors: Step $2$ : Find the prime factors of $6$ . Start by dividing $6$ by the smallest prime number, $2$ . $6 \div 2 = 3$ .
Check Quotient: Step $3$ : Check if the quotient, $3$ , is a prime number. Since $3$ can only be divided by $1$ and itself, it is a prime number.
Combine Prime Factors: Step $4$ : Combine the prime factors. The prime factorization of $6$ is $2$ multiplied by $3$ , which is written as $2 \times 3$ .