Question

Fill in the blanks

Number	Cubes
4 = 2 x 2	43 = 64 = 2 x 2 x 2 x 2 x 2 x 2 = 23 x 23
6 = 2 x 3	63 = 216 = 2 x 2 x 2 x 3 x 3 x 3 = 23 x 33
10 = 2 x 5	103 = 1000 = 2 x 2 x 2 x 5 x 5 x 5 = 23 x 53
12 = 2 x 2 x 3	123 = 1728 = ___

Answer 1

1728 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

= 2³ x 2³ x 3³

Note: It is clear from above pattern that each factor in cube of a number repeats three times.