Question

What is the smallest number by which the following numbers must be divided so that the product are perfect cubes
i) 2560 ii) 7803​

Answer 1

Step-by-step explanation:

1)2560=2⁸×2×5=2⁹×5=8³×5

2560 should be divided by 5 to get a perfect cube 8³.

2)7803=3³×17²

7803 should be multiplied by 17 to get a perfect cube 3³×17³ or 51³