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.

Question

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.

Knowee AI · Accepted Answer

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.

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