# By what smallest

Given: 3600

Factors of 3600 = 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5

As we see, 2,3 and 5 do not have a pair to make a cube.

Hence 3600 should be multipled with 2 × 2 × 3 × 5 to get perfect cube.

3600 should multiply with 60.

Now, 3600× 60 = 216000

Now, 216000 is a perfect cube and the cube root is 2 × 2 × 3 × 5 i.e. 60.

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