StudyGPT Just Leveled Up – Say Hello to Knowee! 🚀
Knowee
Questions
Features
Study Tools

Find the least number by which 175760 be divided to make it a perfect cube.Select an answerA6B10C9D30

Question

🧐 Not the exact question you are looking for?Go ask a question

Solution

To find the least number by which 175760 should be divided to make it a perfect cube, we first need to find the prime factorization of 175760.

The prime factorization of 175760 is 2^4 * 3^3 * 5 * 7^3.

A perfect cube is a number that can be expressed as the product of three equal integers. Therefore, each prime factor must appear three times.

In the prime factorization of 175760, the prime number 2 appears four times and the prime number 5 appears once.

To make 175760 a perfect cube, we need to remove one 2 and one 5 from its prime factorization.

Therefore, the least number by which 175760 should be divided to make it a perfect cube is 2*5 = 10.

So, the answer is B10.

This problem has been solved

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.