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in Cube and Cube Roots by (48.6k points)
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Check the perfect cube in the following numbers?

(i) 2700 (ii) 16000 (iii) 64000 (iv) 900 (v) 125000

1 Answer

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Best answer

(i) 2700 

Resolving 2700 into Prime factor as follows

The Prime factor 2 and 5 do not appear in a groups of three. 

Therefore 2700 is not a perfect cube number.

(ii) 16000

Resolving 16000 into Prime factor as follows

Factor 2 is not group of three 

∴ 16000 is not a perfect cube.

(iii) 64000 

Resolving 64000 into Prime factor as follows

There are perfect cubes of each factor 2, 2, 2 and 5. 

∴ 64000 is a perfect cube.

(iv) 900 

Resolving 900 into Prime factors as follows

Factors 2, 3 and 5 are not groups of three. 

∴ 900 is not a perfect cube.

(v) 125000 

Resolving 125000 into Prime factors as follows

Factors 2, 5 and 5 are in groups of three 

∴ 125000 is a perfect cube

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