What is a cube number GCSE?

A cube number is the number given when an integer is multiplied by itself, then multiplied by itself again. It is called a cube number because it gives the volume of a cube whose side length is an integer. The first cube number is 1 because 1 × 1 × 1 = 1 . The second cube number is 8 because 2 × 2 × 2 = 8 .

What are cube numbers?

Why is 3 a cube number?

When you multiply a whole number (not a fraction) by itself, and then by itself again the result is a cube number. For example 3 x 3 x 3 = 27. An easy way to write 3 cubed is 3³. This means three multiplied by itself three times.

Is 512 a cube number?

Yes, 512 is a perfect cube number since the cube root value of 512 is a whole number.

How do you cube numbers for dummies?

To cube a number all you do is multiply it by itself twice. This works for all numbers. So for example 11 cubed is 11³ or 11 x 11 x 11 which is 1331. As you can see when you cube a whole number, you'll find the numbers get very big very quickly!

Cube Numbers - Corbettmaths

What are 5 examples of cube numbers?

The first 11 cube numbers are 0, 1, 8, 27, 64, 125, 216, 343, 512, 729, and 1000.

What cubed is 1331?

Since the cube of 11 is 1331, therefore 1331 is a perfect cube number.

Is 729 a cube number?

Is 729 a perfect cube? 3√729 = 9 and 9 is an integer. So, 729 is a perfect cube.

Is 64 a perfect cube?

Since 64 is a perfect cube, therefore it is easy to find its cube root, but for imperfect cubes we have to estimate the values. But it sometimes becomes difficult to evaluate.

Why is 100 not a cube number?

Here, 100 cannot be grouped into triplets of equal factors. ∴ 100 is not a perfect cube.

Why is 25 not a 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.

Why is 27 a cube?

Yes, 27 is a perfect cube number since the cube root value of 27 is a whole number.

Is 1080 a cube number?

Is 1080 a Perfect Cube? The number 1080 on prime factorization gives 2 × 2 × 2 × 3 × 3 × 3 × 5. Here, the prime factor 5 is not in the power of 3. Therefore the cube root of 1080 is irrational, hence 1080 is not a perfect cube.

Is 1000 a cube number?

The first ten cube numbers are: 8, 27, 64, 125, 216, 343, 512, 729, 1000.

Is 1200 a cube number?

Is 1200 a Perfect Cube? The number 1200 on prime factorization gives 2 × 2 × 2 × 2 × 3 × 5 × 5. Here, the prime factor 2 is not in the power of 3. Therefore the cube root of 1200 is irrational, hence 1200 is not a perfect cube.

Is 4096 a perfect cube?

Yes, 4096 is the perfect cube since its cube root is a whole number, i.e. 16.

Is 32 a perfect cube?

No, 32 is not a perfect cube number, as it cannot be expressed as the cube of any integer.

Is 256 a perfect cube?

No, 256 is not a perfect cube number as there does not exist any such integer whose cube is 256.

Is 625 a perfect cube?

625 is not a perfect cube.

Is 2744 a perfect cube?

2744 is a perfect cube. ∴ -2744 is a cube of negative integer – 14. 42875 is a perfect cube.

Is 216 a perfect cube?

Since 216 is a perfect cube, we will use here the prime factorisation method, to get the cube root easily.

Is 72 a perfect cube?

Grouping the prime factors of 72 in triples, we are left over with 3 × 3. ∴ 72 is not a perfect cube. i.e. 216 is a perfect cube. ∴ The smallest number required to multiply 72 to make it a perfect cube is 3.

Is 49 a perfect square?

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.

Is 144 a perfect cube?

Is 144 a Perfect Cube? The number 144 on prime factorization gives 2 × 2 × 2 × 2 × 3 × 3. Here, the prime factor 2 is not in the power of 3. Therefore the cube root of 144 is irrational, hence 144 is not a perfect cube.