Question

The prime factorization of 392 is

• A. $2^2\times 5^4$
• B. $2^3\times 3^5$
• C. $2^3\times 7^2$
• D. $2^3\times 7^3$

Answer 1

The correct option is C $2^3\times 7^2$

Prime factorization of a number is expressing the number as a product of its prime factors. Expressing 392 as product of its prime factors,
$392=2\times 196=2\times 2\times 98=2\times 2\times 2\times 49=2\times 2\times 2\times 7\times 7=2^3\times 7^2$.
Therefore, the prime factorization of 392 is $2^3\times 7^2$.