Question

Find the smallest number by which 10,584 needs to be divided to obtain a perfect cube.​

Answer 1

Answer:

49.

Step-by-step explanation:

When you extract factor of 10584= 2×2×2×3×3×3×7×7.

So, in manner to make any number a perfect cube you will need a triplet of prime factors and here 7 is only two times.

So, when we divide 10584 by 49. you will get a perfect cube.

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Answer 2

Answer:

49

Step-by-step explanation:

Factor of 10584=2x2x2x3x3x3x7x7

7x7=49

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