For which positive integer is square and cube are same?
Table of Contents
- 1 For which positive integer is square and cube are same?
- 2 What is the square and cube of?
- 3 What is both the square of an integer and the cube of an integer?
- 4 What’s the second cube number?
- 5 What is a positive cube?
- 6 Is 225 perfect square?
- 7 What 3 digit number is both a square and a cube?
- 8 Which number is both a cube and a perfect square?
For which positive integer is square and cube are same?
The smallest integer greater than 1 which is both a square as well as a cube is 64.
What is the square and cube of?
Square, Cube, Square Root and Cubic Root for Numbers Ranging 0 – 100
| Number x | Square x2 | Cube x3 |
|---|---|---|
| 6 | 36 | 216 |
| 7 | 49 | 343 |
| 8 | 64 | 512 |
| 9 | 81 | 729 |
Can you find another number bigger than 1 that is both a square and a cube number?
The answer is the only number in both lists: 64.
What is both the square of an integer and the cube of an integer?
A perfect square is defined as the square of an integer and a perfect cube is defined as the cube of an integer. How many positive integers n are there such that n is less than 1,000 and at the same time n is a perfect square and a perfect cube?
What’s the second cube number?
Cubic Number
| OEIS | numbers | |
|---|---|---|
| 1 | A000578 | 1, 8, 27, 64, 125, 216, 343, 512. |
| 2 | A003325 | 2, 9, 16, 28, 35, 54, 65, 72, 91. |
| 3 | A047702 | 3, 10, 17, 24, 29, 36, 43, 55, 62. |
| 4 | A047703 | 4, 11, 18, 25, 30, 32, 37, 44, 51. |
What numbers are Perfectcubes?
A perfect cube is a number that is obtained by multiplying the same integer three times. For example, multiplying the number 4 three times results in 64. Therefore, 64 is a perfect cube….List of Perfect Cubes from 1 to 50.
| Number | Multiplication Fact | Perfect Cube |
|---|---|---|
| 2 | 2 × 2 × 2 | 8 |
| 3 | 3 × 3 × 3 | 27 |
| 4 | 4 × 4 × 4 | 64 |
| 5 | 5 × 5 × 5 | 125 |
What is a positive cube?
a positive integer. The first few are 1, 8, 27, 64, 125, 216, 343, (OEIS A000578). (OEIS A002376), and the number of distinct ways to represent the numbers 1, 2, 3, in terms of positive cubes are 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5.
Is 225 perfect square?
The prime factorization of 225 = 32 × 52. Here, all the numbers are in the power of 2. This implies that the square root of 225 is a positive integer. Therefore, 225 is a perfect square.
Is 2 a square number?
Informally: When you multiply an integer (a “whole” number, positive, negative or zero) times itself, the resulting product is called a square number, or a perfect square or simply “a square.” So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.
What 3 digit number is both a square and a cube?
729
729 is a 3-digit number which is a square(27) as well as a cube(9).
Which number is both a cube and a perfect square?
64
Explanation − 1 and 64 are only numbers from 1 to 100 that are both perfect squares and cubes.