Question

the prime factorization of 200 was written on the board in math class. one factor was accidentally erased.
$2^3\cdot\square?^2$
what number completes the prime factorization?

Explanation:

Step1: Calculate $2^3$

$2^3 = 2\times2\times2 = 8$

Step2: Divide 200 by $2^3$

$\frac{200}{8} = 25$

Step3: Find square root of 25

$\sqrt{25} = 5$

Answer:

5