Perfect Cubes

The video tutorial explores the concept of forming larger cubes using smaller unit cubes. It demonstrates how to determine if a number is a perfect cube by arranging unit cubes and introduces the prime factorization method as an alternative approach. Examples are provided to illustrate the method, showing how to verify if numbers like 1,000 and 1,125 are perfect cubes. The tutorial concludes with exercises to find the smallest number to multiply or divide to achieve a perfect cube.

Is 1,125 a perfect cube? Justify your answer.

What number should 1,125 be multiplied by to become a perfect cube?