What is the prime factorization of 16? Choices: (A)2 × 2 × 2 (B)2 × 2 × 4 (C)2 × 2 × 2 × 2 × 2 (D)2 × 2 × 2 × 2

Determine Prime Number: Step 1: Determine if 16 is a prime number. Since 16 can be divided evenly by numbers other than 1 and itself (e.g., 2 and 8), it is not a prime number. Divide by 2: Step 2: Start dividing 16 by the smallest prime number, which is 2. 16 ÷ 2 = 8. Continue Dividing: Step 3: Continue dividing the quotient by 2. 8 ÷ 2 = 4. Divide by 2 Again: Step 4: Divide the new quotient by 2 again. 4 ÷ 2 = 2. Final Quotient: Step 5: Finally, divide the last quotient by 2 one more time. 2 ÷ 2 = 1. Now, we've reached 1, which means we've completed the factorization.

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What is the prime factorization of $16$ ? $\newline$ Choices: $\newline$ (A) $2 \times 2 \times 2$ $\newline$ (B) $2 \times 2 \times 4$ $\newline$ (C) $2 \times 2 \times 2 \times 2 \times 2$ $\newline$ (D) $2 \times 2 \times 2 \times 2$

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Q. What is the prime factorization of

16

\newline

Choices:

\newline

(A)

2 \times 2 \times 2

\newline

(B)

2 \times 2 \times 4

\newline

(C)

2 \times 2 \times 2 \times 2 \times 2

\newline

(D)

2 \times 2 \times 2 \times 2

Determine Prime Number: Step $1$ : Determine if $16$ is a prime number. Since $16$ can be divided evenly by numbers other than $1$ and itself (e.g., $2$ and $8$ ), it is not a prime number.
Divide by $2$ : Step $2$ : Start dividing $16$ by the smallest prime number, which is $2$ . $16 \div 2 = 8$ .
Continue Dividing: Step $3$ : Continue dividing the quotient by $2$ . $8 \div 2 = 4$ .
Divide by $2$ Again: Step $4$ : Divide the new quotient by $2$ again. $4 \div 2 = 2$ .
Final Quotient: Step $5$ : Finally, divide the last quotient by $2$ one more time. $2 \div 2 = 1$ . Now, we've reached $1$ , which means we've completed the factorization.