Question

find the cube root of the following number by prime factorisation method; 125​

Answer 1

If we take lcm of 125, it will be give as

125=5×5×5

For cube root we will make pairing of three so 5×5×5 can be written as 5 by pairing as three

So cube root of 125 = 5

Answer 2

How to find the cube root through prime factorization method

Step 1 : Resolve the given number into prime factors.

Step 2 : Write these factors in triplets such that all three factors in each triplet are equal.

Step 3 : From the product of all factors, take one from each triplet that gives the cube root of a number.

Here,

We have to find the cube root of 125.

We know that 5 × 5 × 5 = 125

∴ Cube root of 125 = 5