Question

find the smallest natural number by which 1500 must be multiplied to obtain a perfect cube and cube root ​

Answer 1

the smallest number is 18 as

$1500 = 5 \times 5 \times 5 \times 2 \times 2 \times 3$

hence it becomes perfect cube and cube root is 30

Answer 2

Answer:

18 is the smallest number to be multiplied with 1500 to obtain a perfect cube.

Step-by-step explanation:

2|1500

2|750

3|375 = 5 x 5 x 5 x 2 x 2 x (2) x 3 x (3) x (3)

5|125

5|25

5|5

|1

= 2 x 3 x 3

= 18