Question

find the smallest number by which 20480 must be divided to obtain a perfect cube

Answer 1

Let's factorize 20480 by LCM.

2 | 20480

2 | 10240

2 | 5120

2 | 2560

2 | 1280

2 | 640

2 | 320

2 | 160

2 | 80

2 | 40

2 | 20

2 | 10

5 | 5

| 1

20480 = 2^12 x 5 = (2^4)^3 x 5 = 16^3 x 5

16^3 x 5 divided by 5 gives 16^3.

∴ 5 is the smallest number by which 20480 is divided to obtain a perfect cube.

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Answer 2

Answer:

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