Find the smallest number that must be multiplied to 648 to make it a perfect cube.
As we prime factorise 648 we obtain-
648=2 x 2 x 2 x 3 x 3 x 3 x 3
so, 2 x 2 x 2 is a perfect cube whereas in 3 x 3 x 3 x 3 one three is left out.
so, to make 648 a perfect cube we must multiply it with (3 x 3) because a 3 is left out so to make it a perfect cube we have to multiply it with two more 3s. If we multiply 648 with (3 x 3) or 9 we obtain-5,832 which is a perfect cube
648=2 x 2 x 2 x 3 x 3 x 3 x 3
so, 2 x 2 x 2 is a perfect cube whereas in 3 x 3 x 3 x 3 one three is left out.
so, to make 648 a perfect cube we must multiply it with (3 x 3) because a 3 is left out so to make it a perfect cube we have to multiply it with two more 3s. If we multiply 648 with (3 x 3) or 9 we obtain-5,832 which is a perfect cube