Find the cube root of the following number by prime factorization method:
91125

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Concept- The prime numberization of any number means writing the given number as the product of the prime numbers. Cube roots can be found by forming three equal number groups and finding the product of the grouped numbers at once.
The prime factorization of any number means to factor a given number into the product of the prime numbers. A prime number is a number that has only two factors 1 and the number itself, and is defined only for natural numbers greater than 1. And we know that we can use prime factorization to give a cube root by multiplying a pair of three numbers taken at one time. Therefore, we have the number 91125 and we need to find the cube root using prime factorization as above. So let's make the given number a prime number like this:

91125= 9×5
91125= 45
Hence, the correct answer is 1) 45.

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th