Show that 53240 is not a perfect cube.
Share
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Verified answer
Answer:
Solution: 53240 = 2×2×2×11×11×11×5
The prime factor 5 does not appear in a group of three. So, 53240 is not a perfect cube. In the factorisation 5 appears only one time. If we divided the number by 5, then the prime factorisation of the quotient will not contain 5.
So,
53240÷5 = 2×2×2×11×11×11
Hence the smallest number by which 53240 should be divided to make it a perfect cube is 5.
The perfect cube in that case is=10648.