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The numbers 0 and 1 are self-squares and self-cubes, all exponentials being 0 and 1 respectively. Only a few other numbers are both squares and cubes of integers.
For any given square and cube, the numerical relation is n3 = [n(sqrt n)]2
so for the value n where (sqrt n) is whole number, the cube of n is also a square.
After 0 and 1, the next 4 are 64, 729, 4096, and 15625.
64 = 43 = 82 . (4x2)2
729 = 93 = 272 . (9x3)2
4096 = 163= 642 . (16x4)2
15625 = 253 = 1252 . (25x5)2
You can find the others easily. There are each the sixth power of any integer,
such that x6 = (x2)3 = (x3)2 e.g. 26 = 64, 36 = 729, 46 = 4096, etc. - Besides 64, another easy one is the number one million, 106, which is 1003 and 10002.
We can say that these numbers are the cube of a square, or the square of a cube, for any given integer.
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What are the two numbers between 1 and 100 that are both a square and cube number?
1 and 64
Is 25 a cube number?
no
What is a three-digit number that is a perfect square and perfect cube?
729, cube of 9 and square of 27
Is 144 cube number?
No because 144 is a square number
The square of a positive number is twice as big as the cube of that number What is the number?
8
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 1000000 a perfect cube or perfect square?
It is both because 1,000,000 is a perfect cube and a perfect square 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 1 a cube and square number yes or no?
Yes it is both
What is the only one digit number that is both a square and a cube?
1
What is a 3-digit number that is both a cube and a square?
729
Less than 100 which are both a square number and a cube number?
0, 1 and 64
What 2-digit number is both a square number and a cube number deatils?
· it has 2 digits · it is a square number (8 x 8 = 64) · it is a cube number (4 x 4 x 4 = 64)
What is a number which is a square and a cube?
Square=2 Cube=3
What number is less than100 and is both a square and a cube number?
For a number to be both a square and a cube, it would have to be a sixth power. There are three sixth powers less than 100: 0^6 = 0, 1^6 = 1 and 2^6 = 64.
What is the smallest number that is both a perfect square and a perfect cube?
1 (1x1x1 or 1x1)
Program to find square and cube of a number?
square and cube caculator
