Identifying Perfect Cubes Calculator
Identifying Perfect Cubes Calculator is a free online calculator that displays whether a number is perfect cube or not. The online Identifying Perfect Cubes Calculator tool speeds up the calculation and shows whether it is a perfect cube or not in a matter of seconds.
Perfect Cube - Definition
A perfect cube is an integer that may be generated by raising a given number to the third power. To put it another way, if you multiply an integer by itself three times, you get a perfect cube!. As a result, the perfect cube formula is as follows:
N is a perfect cube if it can be written as: N = a * a * a, Where, a is a positive integer.
How to Check if a Number is Perfect Cube or Not?
Follow simple steps on how to find perfect cube manually. One of the straightforward technique is to verify it by factorization. The detailed steps to follow are as under
- In order to check if a number is perfect cube or not find out the prime factors.
- Group together the triplets of prime factors.
- If there is no factor left out then the given number is a perfect cube.
How to use the Identifying Perfect Cubes Calculator?
- Simply enter the value of a number N into the calculator input box to see if it is a perfect cube or not!
- If the number is a perfect cube, the perfect cube calculator will tell you so, and you'll be able to check its cube root if it is!
List of Perfect Cubes:
Here's a list of the first 10 perfect cubes for quick reference:
| Number | Cube of number |
|---|---|
| 1 | 1 |
| 2 | 8 |
| 3 | 27 |
| 4 | 64 |
| 5 | 125 |
| 6 | 216 |
| 7 | 343 |
| 8 | 512 |
| 9 | 729 |
| 10 | 1000 |
Let's go with the solved example on Identifying perfect cubes and understand the concept practically in a step-wise manner.
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Example:
Identify the perfect cubes of the given numbers 2,4,5?
Solution:
Consider the Question,
The given numbers are 2,4,5.
2³ = 2 * 2 * 2 = 8, so 8 is a perfect cube!
Similarly, (-2)³ = (-2) * (-2) * (-2) = -8, so -8 is also a perfect cube!
4³ = 4 * 4 * 4 = 64, so 64 is a perfect cube!
Similarly, (-4)³ = (-4) * (-4) * (-4) = -64, so -64 is also a perfect cube!
5³ = 5 * 5 * 5 = 125, so 125 is a perfect cube!
Similarly, (-5)³ = (-5) * (-5) * (-5) = -125, so -125 is also a perfect cube!
FAQs on Identifying Perfect Cubes Calculator
1. What does cube root mean?
The cube root of an integer is defined in mathematics as the particular number that, when cubed or multiplied three times, returns the original value.
For example, the cube root of 27 is three. It indicates that if you multiply a number three times, you get 27, or 3 x 3 x 3 = 27.
2. Is the number 0 a perfect cube?
Yes! 0 may be written as 0 × 0 × 0, indicating that the cube root of 0 is zero.
As a result, 0 is a perfect cube.
3. Is the number 64 a perfect cube?
Yes! 64 may be written as 4 × 4 × 4, indicating that the cube root of 64 is 4.
64 is a perfect cube since 4 is an integer.
4. Is there such a thing as a perfect cube?
Yes! 1 may be written as 1 1 1, showing that the cube root of 1 is 1 itself.
As a result, 1 is a perfect cube.
5. Is it possible for a number's cube root to be negative?
Yes! Any negative number's cube root will always be negative, and any positive number's cube root will always be positive.