Question

2. Check whether 18252 is a perfect cube or not? If not, find the number which is to be multiplied to 18252 to
make it a perfect cube.

Answer 1

Step-by-step explanation:

For a number to be a perfect cube, each of its prime factors has to have a power that is a multiple of 3. The prime factors that we need to "fix" then are 2 and 13, whose powers are 2. So we need to multiply by 2 × 13 = 26. The resulting perfect cube is 18252 × 26 = 2³ × 3³ × 13³ = 78³.