The number 8788 is not a perfect cube. Its prime factorisation is 2^2 x 13^3. Find the smallest number it must be multiplied by to become a perfect cube, then state the cube root of the new number.

Question

Accepted Answer

multiply by 2, cube root 26. 8788 = 2^2 x 13^3. The 2 appears twice; multiply by 2 to make 2^3. New number = 2^3 x 13^3 = (2 x 13)^3 = 26^3, cube root = 26.

The number 8788 is not a perfect cube.
Its prime factorisation is $2^{2} \times 1 3^{3}$ .
Find the smallest number it must be multiplied by to become a perfect cube, then state the cube root of the new number.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Cube Root by Prime Factorisation practice

The number 8788 is not a perfect cube.Its prime factorisation is 22×133.Find the smallest number it must be multiplied by to become a perfect cube, then state the cube root of the new number.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Cube Root by Prime Factorisation practice

The number 8788 is not a perfect cube.
Its prime factorisation is $2^{2} \times 1 3^{3}$ .
Find the smallest number it must be multiplied by to become a perfect cube, then state the cube root of the new number.