What is the prime factorization of 8? Choices: (A)2 × 4 (B)2 × 2 (C)2 × 2 × 2 × 2 (D)2 × 2 × 2

Determine Prime Number: Step 1: Determine if 8 is a prime number. Since 8 can be divided evenly by numbers other than 1 and itself (e.g., 2 and 4), it is not a prime number. Divide by Smallest Prime: Step 2: Start dividing 8 by the smallest prime number, which is 2. 8 ÷ 2 = 4. Continue Dividing: Step 3: Continue dividing the quotient by 2. 4 ÷ 2 = 2. Final Quotient Reached: Step 4: Divide the last quotient by 2 again. 2 ÷ 2 = 1. Now, we've reached 1, which means we've found all the prime factors. Combine Prime Factors: Step 5: Combine all the prime factors from the divisions. The prime factors of 8 are 2, 2, and 2, which is written as 2 × 2 × 2.

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What is the prime factorization of $8$ ? $\newline$ Choices: $\newline$ (A) $2 \times 4$ $\newline$ (B) $2 \times 2$ $\newline$ (C) $2 \times 2 \times 2 \times 2$ $\newline$ (D) $2 \times 2 \times 2$

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Q. What is the prime factorization of

8

\newline

Choices:

\newline

(A)

2 \times 4

\newline

(B)

2 \times 2

\newline

(C)

2 \times 2 \times 2 \times 2

\newline

(D)

2 \times 2 \times 2

Determine Prime Number: Step $1$ : Determine if $8$ is a prime number. Since $8$ can be divided evenly by numbers other than $1$ and itself (e.g., $2$ and $4$ ), it is not a prime number.
Divide by Smallest Prime: Step $2$ : Start dividing $8$ by the smallest prime number, which is $2$ . $8 \div 2 = 4$ .
Continue Dividing: Step $3$ : Continue dividing the quotient by $2$ . $4 \div 2 = 2$ .
Final Quotient Reached: Step $4$ : Divide the last quotient by $2$ again. $2 \div 2 = 1$ . Now, we've reached $1$ , which means we've found all the prime factors.
Combine Prime Factors: Step $5$ : Combine all the prime factors from the divisions. The prime factors of $8$ are $2$ , $2$ , and $2$ , which is written as $2 \times 2 \times 2$ .