what is the smallest number by which 500 must be multiplied to make a perfect cube
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Step-by-step explanation:
A .perfect cube should have all of its 'factors' occurring in groups of 3. So, let's factor 500. Wow! The only factor that doesn't occur in a group of 3 is 2.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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