Question

Show that 1944 is not a perfect cube

Answer 1

2	1944
2	972
2	486
3	243
3	81
3	27
3	9
3	3
	1

1944 = 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3

= `bar(2 xx 2 xx 2) xx bar(3 xx 3 xx 3) xx 3 xx 3`

= 2³ × 3³ × 3 × 3

There are two triplets to make further triplets we need one more 3.

∴ 1944 is not a perfect cube.