Question

What is the smallest number by which 3564 must be divided so that the quotient obtained is a perfect cube? Also find the cube root​

Answer 1

Answer:

The number be divided to form a perfect cube is 9. the perfect cube obtained is 3564/9 = 396

hope it helps u

Answer 2

Answer:

132, 27, 3

Step-by-step explanation:

Prime factors:

• 3564= 2*2*3*3*3*3*11

Perfect cube formed by prime factors of 3564 and a divisor to obtain a perfect cube:

• 3564/2*2*3*11= 3^3

• 2*2*3*11= 132

Perfect cube:

• 3^3=27