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

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answer is A.

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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.

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