Question

Q.17. Which of the following number is perfect cube?

Answer 1

Answer:

In order to find a perfect cube, we need to factorize the numbers through prime factorization method. The prime numbers are then divided in a group of three of same numbers. If group of three is formed perfectly then the number is a perfect cube. If not, then it is not a perfect cube.

1525=

5×5× 61

(Group of three is not formed of like terms. Hence not a perfect cube)

1728=2×2×2 ×2×2×2 ×3×3×3

(Group of three is formed of like terms. Hence a perfect cube)

1458= 2 × 3×3×3 × 3×3×3

(Group of three is not formed of like terms. Hence not a perfect cube)

3993= 3 ×11×11×11

(Group of three is not formed of like terms. Hence not a perfect cube)

Therefore, the answer is 1728.