Question

72 as a product of its prime factors can be represented as ______ .

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

Answer 1

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

We have 72 = 9$\times$8.
9 and 8 can be represented as a product of their prime factors.
$9=3\times 3\text{and}8=2\times 2\times 2$
$\therefore 72=9\times 8=3\times 3\times 2\times 2\times 2=3^2\times 2^3$