1. Cube Root-Least number
Multiplication
& Division

2. Example 1:
Find the smallest number by which 243 must be multiplied so that the product becomes a perfect cube.
Solution:
By Prime factorization method, we get
Make a group of 3 factors.
We notice we need another 3 to form triplet
so we multiply both sides by 3
243 = 3 x 3 x 3 x 3 x 3
243 x 3 = 3 x 3 x 3 x 3 x 3 x 3
Hence, the smallest number to be multiplied with 243 is 3.

3. Example 2:
Find the smallest number by which 3125 must be divided so that the quotient becomes a perfect cube.
Solution:
By Prime factorization method, we get
Make a group of 3 factors.
We notice 5 x 5 could not be grouped into triplets
so we divide both sides by 5 x 5 to remove it
3125 = 5 x 5 x 5 x 5 x 5
= 5 x 5 x 5 x 5 x 5
5 x 5
Hence, the smallest number to be divided with 3125 is 5 x 5 =25

4. Try these
Find the smallest number by which 256 must be multiplied to get a perfect cube?
Find the smallest number we need to divide 625 to get perfect cube