Question

Find the smallest number by which 5400 should be multiplied so that the product is a perfect cube by long divison method​ fast

Answer 1

Answer:

5

Step-by-step explanation:

by factoring 5400, we get

2x2x2x3x3x3×5×5

logic is, to become a cube, all number should be

in pair in three"s

here 2 is in pair, 3 is in pair, 5 can be in pair if multiplied by one more 5

after multiplying 5, it becomes,

2x2x2x3x3x3×5×5x5

hence it is the cube of 2×3x5= 30