Question

find the smallest number which when multiplied with 500 will make the product a perfect cube​

Answer 1

Answer:

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.

Step-by-step explanation:

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Answer 2

Answer:

Prime factors of 500 = 5 × 5 × 5 × 2 × 2

Here 2 do not appear in 3's group.

Therefore, 500 should be multiplied by 2 to make it perfect cube.