Question

Which of the following correctly represents 1350 as the product of its prime power?

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

Answer 1

The correct option is B

$2\times 3^3\times 5^2$

450 can be written as

$1350=2\times 675$

$1350=2\times 3\times 225$

$1350=2\times 3\times 3\times 75$

$1350=2\times 3\times 3\times 3\times 25$

$1350=2\times 3^3\times 5\times 5$

$1350=2\times 3^3\times 5^2$