Question

The prime factorization of 648 is

• A. $2^2\times 3^4$
• B. $2^3\times 3^4$
• C. $2^3\times 3^5$
• D. $2^3\times 3^6$

Answer 1

The correct option is B $2^3\times 3^4$

Prime factorization of a number is expressing the number as a product of its prime factors. Expressing 648 as product of its prime factors,
$648=2\times 324=2\times 2\times 162=2\times 2\times 2\times 81=2\times 2\times 2\times 9\times 9=2^3\times 3^4$.
Therefore, the prime factorization of 648 is $2^3\times 3^4$.