What is the smallest number by which 8640 may bedivided so that the qu

1.	What is the smallest number by which 8640 may bedivided so that the quatient is a perfect cube? please friends I want step by step
Answer» Answer: 5 Step-by-step explanation: 8640=2×2×2×2×2×2×3×3×3×5 5 OCCURS as a prime NUMBER only once. Hence, 5 is the SMALLEST number by which 8640 must be divided, so that the quotient is a perfect CUBE.

What is the smallest number by which 8640 may bedivided so that the quatient is a perfect cube? please friends I want step by step

Answer»

Answer:

Step-by-step explanation:

8640=2×2×2×2×2×2×3×3×3×5

5 OCCURS as a prime NUMBER only once.

Hence, 5 is the SMALLEST number by which 8640 must be divided, so that the quotient is a perfect CUBE.