Sage-Tips

What is the smallest number which is a perfect square and a perfect cube?

64 is the smallest perfect square as well as the perfect cube, because 82 = 64 43 = 64. Hope this helps.

Is the smallest perfect square number?

then 0 is included as a perfect square. Thus, 0 is the smallest perfect square.

What is the smallest square and cube number?

A square number is a number multiplied by itself. The square numbers up to 100 are: 0, 1, 4, 9, 16, 25, 36, 49, 64, 81 and 100. A cube number is a number multiplied by itself 3 times. The cube numbers up to 100 are: 1, 8, 27 and 64.

What is the smallest perfect cube?

Now to group these factors into triplets, one more 7 is needed. Hence, 7 is the smallest number which should be multiplied to 1323 to make it a perfect cube.

What is the smallest 2 digit perfect square?

Answer Expert Verified Hey! The smallest 2 digit number which is a perfect square is 16..

What is the square of the smallest number that can be represented as a sum of two perfect squares and also two perfect cubes?

Natural number which can be expressed as sum of two perfect squares in two different ways? Ramanujan’s number is 1729 which is the least natural number which can be expressed as the sum of two perfect cubes in two different ways.

Which is the smallest perfect number?

6
perfect number, a positive integer that is equal to the sum of its proper divisors. The smallest perfect number is 6, which is the sum of 1, 2, and 3. Other perfect numbers are 28, 496, and 8,128. The discovery of such numbers is lost in prehistory.

What is a perfect square and perfect cube?

Perfect squares are the squares of a whole number (when a number is multiplied by itself two times). Perfect cubes are the cubes of a whole number (when a number is multiplied by itself three times).

What is a perfect cube?

The perfect cube is the result of multiplying the same integer three times. Multiplying the number 4 three times, for example, yields 64. As a result, the number 64 is a perfect cube. If a number can be broken down into a product of the same three numbers, it is said to be a perfect cube. …

Which number is a perfect square?

The first 12 perfect squares are: {1, 4, 9, 25, 36, 49, 64, 81, 100, 121, 144…} Perfect squares are used often in math. Try to memorize these familiar numbers so that you can recognize them as they are used in many math problems. The first five squares of the negative integers are shown below.

How do you find the smallest 5 digit perfect cube?

So, 22³ = 10648 it is the smallest 5-digit perfect cube.

What is the smallest number that is both a perfect square?

Other than 1, the smallest positive number that is both a perfect square and a perfect cube is 64, which is 4 cubed as well as 8 squared. What is the smallest number greater than 64 that is both a perfect square and a perfect cube?

What is the smallest 4-digit perfect cube?

1000 is the cube of 10 and is a 4-digit number. The answer is 1000. The predecessor of 1000 is 999 which is a three digit number,so 1000 is smallest four digit perfect cube “Civilization advances by extending the number of important operations which we can perform without thinking of them.

How many perfect cubes are there in 2A?

The numbers such as 1, 8, 27, 64, etc. are known as perfect cubes or cube numbers. When a cube is broken or cut, total volume still remains the same. Hence we can observe that to construct a cube of edge length ‘2a’ with cubes of edge length ‘a’ we need to have 8 cubes of edge length a.

Which number is required to make a perfect cube?

The number 27000 is the required perfect cube. A cube is a three-dimensional figure which has all the edges of equal length. The volume of a cube is given by the product of its dimensions. For example, for a cube of edge length ‘a’ units, the volume of the cube is given by “a × a × a”which is equal to a 3 cubic unit.