Question

Find out the smallest natural number by which each of the following number must be multiplied to get a perfect cube 500

Answer 1

Answer:

Step-by-step explanation:

A perfect cube should have all of its ‘factors’ occurring in groups of 3.

So, let’s factor 500.

2 * 2 * 5 * 5 * 5

Wow! The only factor that doesn’t occur in a group of 3 is 2. So, we would add one more factor of 2 to get 2 * 2 * 2 * 5 * 5 * 5 = 1000 which happens to be 10 cubed.

So, the answer to your question is 2.

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