Question

Find the cube root of the following number by the prime factorisation method.

110592

Answer 1

2	110592
2	55296
2	27648
2	13824
2	6912
2	3456
2	1728
2	864
2	432
2	216
2	108
2	54
3	27
3	9
3	3
	1

Prime factorisation of 110592 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3

= 2³ × 2³ × 2³ × 2³ × 3³

=(2 × 2 × 2 × 2 × 3)³

∴ `root3 (110592)`

= 2 × 2 × 2 × 2 × 3

= 48