Question

Which of the following correctly represents 720 as the product of its prime power.

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

Answer 1

The correct option is D

$2^4\times 3^2\times 5$

720 can be written as

$720=2\times 360$

$720=2\times 2\times 180$

$720=2\times 2\times 2\times 90$

$720=2\times 2\times 2\times 2\times 45$

$720=2^4\times 3\times 15$

$720=2^4\times 3\times 3\times 5$

$720=2^4\times 3^2\times 5$