Question

What is the smallest number by which 106480 may be multiplied so that the product is a perfect cube

Answer 1

Step-by-step explanation:

2 |106480

2 |53240

2 |26620

2 |13310

5 |6655

11 |1331

11 |121

11 |11

|1 So

$106480 = {11}^3 \times {2}^{4} \times 5$

Hence multiply by 4 then by 25 so 1064800 can be expressed as

${11}^3 \times {2}^6 \times {5}^3$

So the smallest number by which 106480 can be multiplied to become a perfect cube is 100. Hope it helps you.