Question

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

4096

Answer 1

4096 can be factorised as follows:

2	4096
2	2048
2	1024
2	512
2	256
2	128
2	64
2	32
2	16
2	8
2	4
	2

4096 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

∴ `sqrt(4096)` = 2 × 2 × 2 × 2 × 2 × 2 = 64