Question

The sum of the powers of the prime factors in $108\times 192$ is

• A. $5$
• B. $7$
• C. $8$
• D. $12$

Answer 1

The correct option is D $12$

$108=2\times 2\times 3\times 3\times 3=2^2\times 3^3$
$192=2\times 2\times 2\times 2\times 2\times 2\times 3$
$=2^6\times 3^1$
$108\times 192=2^2\times 3^3\times 2^6\times 3^1$
$=2^8\times 3^4$
Sum of the powers = 8 + 4 = 12