Question

vanessa is simplifying $sqrt{56}$. she needs to rewrite 56 using prime factors.
which of the following correctly represents the prime factorization of 56?
a. $8 \cdot 7$
b. $2 \cdot 4 \cdot 7$
c. $2 \cdot 2 \cdot 2 \cdot 7$
d. $2 \cdot 2 \cdot 7$

Explanation:

Step1: Factor 56 into composite factors

$56 = 8 \times 7$

Step2: Break 8 into prime factors

$8 = 2 \times 2 \times 2$

Step3: Combine prime factors

$56 = 2 \times 2 \times 2 \times 7$

Answer:

C. $2 \cdot 2 \cdot 2 \cdot 7$