Question

Cube of an even number is always ______ .

• A. odd
• B. even
• C. prime
• D. coprime to the given number

Answer 1

The correct option is B even

Cube of an even number is always an even number.
Because, when a number is multiplied three times by itself, the product obtained is called the cube of a number. So, if the number is even we will multiply the same even number three times by itself and we know that mutiplying even numbers will always give an even number as their product.
Ex:
2 is a even number.
So, $2^3=2\times 2\times 2=8$ is also an even number.