Question

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

64

Answer 1

2	64
2	32
2	16
2	8
2	4
2	2
	1

Prime factorisation of 64 = 2 × 2 × 2 × 2 × 2 × 2

= 2³ × 2³ = (2 × 2)³

∴ `root3 64` = 2 × 2 = 4