0
Sure, honey, let me break it down for you. No, a Prime number cannot be a perfect cube because a prime number is only divisible by 1 and itself. And let me tell you, a perfect cube is the result of multiplying a number by itself three times, so a prime number ain't gonna fit that bill. So, in short, a prime number and a perfect cube are like oil and water - they just don't mix, darling.
Still curious? Ask our experts.
Chat with our AI personalities
Rene
Taiga
BlakeYes, a prime number can be a perfect cube. A perfect cube is a number that can be expressed as the cube of an integer, such as 1, 8, 27, etc. A prime number is a number greater than 1 that has no positive divisors other than 1 and itself. So, a prime number that is also a perfect cube would be a number like 2^3 = 8.
Oh, isn't that a happy little question! Prime numbers are like unique little gems in the mathematical world, and they can certainly be perfect cubes. For example, the prime number 2 is a perfect cube because 2 x 2 x 2 equals 8. So yes, a prime number can definitely be a perfect cube, and it's just another beautiful example of the diversity and wonder of numbers.
Add your answer:
Earn +20 pts
What number is both a square number and a cube number between 1 and 25?
There is not a number that is a perfect square and perfect cube between 1 and 25.There is not a number that is a perfect square and perfect cube between 1 and 25.There is not a number that is a perfect square and perfect cube between 1 and 25.There is not a number that is a perfect square and perfect cube between 1 and 25.
What is special about the number sixty four?
It is the smallest composite number that is both a perfect square and a perfect cube.
Is one a perfect number?
no, but I don't know why. One is not a prime number and by definition of a perfect number one must be a prime number.
What is the largest four digit number whose cube root is a prime number?
6859. Cube root of 9999 is 21.54, so find the largest prime number less than that (19), then cube that number. 19^3=6,859
Can a prime number be a perfect square?
No.
Are there any prime numbers that are also cubed?
Yes. For example 3 is the cube of cuberoot(3). However, by definition, a prime number cannot be a PERFECT cube.
What is the smallest prime number whose sum of its digits forms a number that is a perfect cube?
I think it will be 17. The sum of digits is 8, which is the cube of 2.
What is a prime cube?
It is the cube of a prime number.
What number is both a square number and a cube number between 1 and 25?
There is not a number that is a perfect square and perfect cube between 1 and 25.There is not a number that is a perfect square and perfect cube between 1 and 25.There is not a number that is a perfect square and perfect cube between 1 and 25.There is not a number that is a perfect square and perfect cube between 1 and 25.
Is 77 a cube number?
If by cube you mean perfect cube (a cube of an integer), then no, and the nearest perfect cube is 81.
What is the cube of is whole number?
It is a perfect cube.
Is the cube of a whole number?
A perfect cube is.
Is 40 a cube number?
It is not a perfect cube.
Is 118 a cube number?
It is not a perfect cube.
Is 144 a cube number?
It is not a perfect cube.
What is a number that is a cube of a whole number?
It is called a perfect cube.
Is 1000000 a perfect cube or perfect square?
It is both because 1,000,000 is a perfect cube and a perfect square number
