Question

1.Cube of even natural number is always ______​

Answer 1

Answer:

even

Explanation:

cube of even natural number is always EVEN.

eg. 2^3= 8

4^3= 64

6^3=216

and so on.

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Answer 2

The cube of an even natural number is always an even number.

Given,

Any even natural number.

To find,

Cube of even natural number is always ___?

Solution,

We know that the even numbers are the numbers that are divisible by 2 or the numbers which can be divided into two equal parts are called even numbers.

So, the even natural numbers we have, are

2, 4, 6, 8, 10, 12, ..., and so on.

Now, for example, consider one of these numbers, say 4.

The cube of 4 will be,

4³ = 4 × 4 × 4

⇒ 4³ = 64.

So, the cube of 4 is 64, an even number.

Taking another example, say 8.

8³ = 8 × 8 × 8

⇒ 8³ = 512.

⇒ the cube of 8 is 512, which is also an even number.

Similarly, if we take any of the even natural numbers, its cube will always be an even number.

Therefore, the cube of an even natural number is always an even number.

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