# by which smallest number must 5400 be multiplied to make it a perfect cube.

To make perfect cube by multiplying 5400 to a smallest number is
Factors of 5400 are
5400 = 2 $×$ 2 $×$$×$ 3 $×$$×$$×$ 5  $×$ 5
We can see that here 2 and 3 are in cube form than we multiplied 5400 by 5 and get
27000 = 2 $×$ 2 $×$ 2 $×$ 3 $×$ 3 $×$ 3 $×$ 5  $×$ 5 $×$ 5

27000 =

27000 =

So the smallest number is 5                                                      ( Ans )

• 1

5400=2X2X2X 3X3X3X5X5

therefore the smallest number to be multiplied to get a perfect cube is

5 X 5 =10

perfect cube =5400 x 10

=10

• -5
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