The number 1080 is NOT a perfect cube.
Its prime factorisation is $2^{3} \times 3^{3} \times$ 5.
What is the smallest whole number it must be multiplied by to become a perfect cube?

Question

The number 1080 is NOT a perfect cube. Its prime factorisation is 2^3 x 3^3 x 5. What is the smallest whole number it must be multiplied by to become a perfect cube?

Accepted Answer

25. 1080 = 2^3 x 3^3 x 5^1. The prime 5 appears once; it needs two more 5s, i.e. multiply by 5^2 = 25 to complete a triple.

The number 1080 is NOT a perfect cube.
Its prime factorisation is $2^{3} \times 3^{3} \times$ 5.
What is the smallest whole number it must be multiplied by to become a perfect cube?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Cube Root by Prime Factorisation practice

The number 1080 is NOT a perfect cube.Its prime factorisation is 23×33× 5.What is the smallest whole number it must be multiplied by to become a perfect cube?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Cube Root by Prime Factorisation practice

The number 1080 is NOT a perfect cube.
Its prime factorisation is $2^{3} \times 3^{3} \times$ 5.
What is the smallest whole number it must be multiplied by to become a perfect cube?