Question

What is the smallest number that must be multiplied with each of the following numbers to make it a perfect cube?
a) 5400​

Answer 1

Answer:

Step-by-step explanation:

Given:

Number = 5400

To Find:

Smallest number to be multiplied to make it a cube.

Solution:

Finding the prime factors of 5400

5400 = 2×3×3×3×2×2×5×5

Grouping them in the group of 3 5400 = (2×2×2) × (3×3×3) × 5 × 5

In the factors 2 is in pair, 3 is in pair, and 5 can be in a pair if it is multiplied by one more 5

Thus, to make a group of 3 for 5, we need to multiply 5400 by 5.

Answer: The smallest number which is to be multiplied is 5.