Question

Which of the following correctly represents the 676 as the product of its prime power.

• A. $2^2\times 3^1\times {13}^2$
• B. $2^2\times 3^4$
• C. $2^2\times {13}^2$
• D. $3^4\times 13$

Answer 1

The correct option is C

$2^2\times {13}^2$

676 can be written as

$676=2\times 338$

$676=2\times 2\times 169$

$676=2\times 2\times 13\times 13$

$676=2^2\times {13}^2$