Question

Check the perfect cube in the following numbers?

(i) 36000 (ii) 21600 (iii) 10000 (iv) 27000000 (v) 11000

Answer 1

(i) 36000 

Resolving 36000 into Prime factors as follows

Factors 2 and 3 are not groups of three 

∴ 36000 is not a perfect cube.

(ii) 21600 

Resolving 21600 into Prime factors as follows

Factors 2 and 5 are not groups of three 

∴ 21600 is not a perfect cube.

(iii) 10000

Resolving 10000 into Prime factors as follows

Factors 2 and 5 are not groups of three. 

Therefore, 10000 is not a perfect cube.

(iv) 27000000

Resolving 27000000 into Prime factors as follows

Factors 2, 3 and 5 are groups of three. 

Therefore, 27000000 is a perfect cube.

(v) 11000 

Resolving 11000 into Prime factors as follows

Here, 11 is not in groups of three. 

∴ 11000 is not a perfect cube.