- Trending Categories
- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

# Which of the following numbers are cubes of negative integers.

**(i)** $-64$

**(ii) **$-1056$

**(iii)** $-2197$

**(iv) **$-2744$

**(v)** $-42875$

To find:

We have to find whether the given numbers are cubes of negative integer.

Solution:

(i) $-64=-(2\times2\times2\times2\times2\times2)$

$=-(2\times2\times2)\times(2\times2\times2)$

$=-(2^3)\times(2^3)$

$=-(2\times2)^3$

$=-4^3$

All the factors of 64 can be grouped in triplets of equal factors completely.

Therefore,

$-64$ is a perfect cube of a negative integer.

(ii) $-1056=-(2\times2\times2\times2\times2\times3\times11)$

All the factors of 1056 cannot be grouped in triplets of equal factors completely.

Therefore,

$-1056$ is not a perfect cube of a negative integer.

(iii) $-2197=-(13\times13\times13)$

All the factors of 2197 can be grouped in triplets of equal factors completely.

Therefore,

$-2197$ is a perfect cube of a negative integer.

(iv) $-2744=-(2\times2\times2\times7\times7\times7)$

All the factors of 2744 can be grouped in triplets of equal factors completely.

Therefore,

$-2744$ is a perfect cube of a negative integer.

(v) $-42875=-(5\times5\times5\times7\times7\times7)$

All the factors of 42875 can be grouped in triplets of equal factors completely.

Therefore,

$-42875$ is a perfect cube of a negative integer.

- Related Questions & Answers
- PHP program to find the sum of cubes of natural numbers that are odd
- 8086 program to determine cubes of numbers in an array of n numbers
- Finding clusters of consecutive negative integers in JavaScript
- PHP program to find the sum of cubes of the first n natural numbers
- Summing cubes of natural numbers within a range in JavaScript
- Modulus of Negative Numbers in C
- Which of the following areas data mining technology can be applied?
- Open Delta Connection or V-V Connection of Transformers
- V Curves and Inverted V Curves of Synchronous Motor
- Print all integers that are sum of powers of two given numbers in C++
- Negative Binary Numbers
- Of the following three phenomena, which one best describes "Paradigm Shift"?
- Program to find number of elements in all permutation which are following given conditions in Python
- Removal of negative numbers from an array in Java
- What are the different types of stylish bottoms for women which I may not know of?
- Non-negative Integers without Consecutive Ones in C++