Question

Find the total number of prime factors in the expression ${\left(4\right)}^{11}\times {\left(7\right)}^5\times {\left(11\right)}^2$

• A. 37
• B. 33
• C. 26
• D. 29

Answer 1

The correct option is D 29

$4^{11}\times 7^5\times {11}^2$
$2^{11}\times 2^{11}\times 7^5\times {11}^2$
since 2,7,11,are prime number hence factor of the given expression is
$11+11+5+2=29$