Question

The prime factorization of 648 =

• A. 22x 34
• B. 23x 34
• C. 23x 35

Answer 1

The correct option is B 23x 34

Prime factorization of a number is expressing the number as a product of its prime factors. Expressing 648 as product of its prime factors,
$\begin{array}{cc}2& 648\\ 2& 324\\ 2& 162\\ 3& 81\\ 3& 27\\ 3& 9\\ 3& 3\\ & 1\end{array}$.
648 = 2 x 2 x 2 x 3 x 3 x 3 x 3
Therefore, the prime factorization of 648 is $2^3\times 3^4$.