Question

The number of ways in which the number $7056$ can be resolved as a product of $2$ factors is

• A. $64$
• B. $24$
• C. $46$
• D. $23$

Answer 1

The correct option is D $23$

$7056={\left(2\right)}^4\times {\left(3\right)}^2\times {\left(7\right)}^2$

Number of ways of writing it as a product of $2$ factors$=\frac{Totalfactors}{2}$

$=\frac{(2+1)(2+1)(4+1)+1}{2}$

$=\frac{46}{2}=23$