Question

Find the smallest natural number that we need to divide 14 with to make it a perfect cube.

Answer 1

Step-by-step explanation:

So, when 30184 is divided by 11, which is a natural number, it gives the quotient as 2744. Perfect cubes are the numbers which are the perfect multiplication of a specific number, three times. Therefore, 2744 = 14 * 14 * 14. So, 2744 is a perfect cube.

Answer 2

Answer:

14

Step-by-step explanation:

A perfect cube has three identical groups of prime factors.

We can multiply or divide factors whenever we want to change a given number into a perfect cube.

Prime Factorization:

14 = 2×7

Which number should we divide 14 with to get a perfect cube?

We need to remove all of it. Dividing by 2×7 will give us 1 which is the smallest positive perfect cube.

14 ÷ (2×7) = 1

We can divide 14 by 14 to make it a perfect cube.