Question

Find the cube root of the following number by prime factorization method: $110592$

• A. $48$
• B. $38$
• C. $58$
• D. $68$

Answer 1

The correct option is A $48$

$Factorizationof110592$,

$110592=2\ast 2\ast 2\ast 2\ast 2\ast 2\ast 2\ast 2\ast 2\ast 2\ast 2\ast 2\ast 3\ast 3\ast 3$

$\sqrt[3]{3110592}=2\ast 2\ast 2\ast 2\ast 3=48$