Question

Prime factorization of 343 is _____.

• A. $7^2\times 3$
• B. $7^2\times 5$
• C. $7^3\times 3$
• D. $7^3$

Answer 1

The correct option is D $7^3$

Prime factorization of a number is expressing the number as a product of its prime factors.
$\begin{array}{cc}7& 343\\ 7& 49\\ & 7\end{array}$
So, $343=7\times 7\times 7=7^3$
Therefore, 343 is a perfect cube.