Question

Find the cube root of the following number by prime factorization method: $46656$

• A. $36$
• B. $26$
• C. $56$
• D. $66$

Answer 1

The correct option is A $36$

$Factorizationof46656$

$46656=2\ast 2\ast 2\ast 2\ast 2\ast 2\ast 3\ast 3\ast 3\ast 3\ast 3\ast 3$

$\sqrt[3]{346656}=2\ast 2\ast 3\ast 3=36$