Question

find the prime fatorisation of 256​

Answer 1

256

= 2 × 128

= 2 × 2 × 64

= 2 × 2 × 2 × 32

= 2 × 2 × 2 × 2 × 16

= 2 × 2 × 2 × 2 × 2 × 8

= 2 × 2 × 2 × 2 × 2 × 2 × 4

= 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

2^8 = 256

Answer 2

Answer:

1. $256 \div 2 = 128 \\ 128 \div 2 = 64 \\ 64 \div 2 = 32 \\ 32 \div 2 = 16 \\ 16 \div 2 = 8 \\ 8 \div 2 = 4 \\ 4 \div 2 = 2 \\ 2 \div 2 = 1 \\ therefore \: the \: primefacterisation \: of \: 256 \: is {2}^{8}$