Question

Is it possible to write every
natural number in the form of
2q for some whole number 'q'.

Answer 1

Answer:

no

Step-by-step explanation:

let a be a natural number

then a=bq+r where 0≤r<b

and b=2

then r=0,1(by euclid's division lemma)

for r= 0

a=2q          (PS: the number is even as it is divisible by 2)

for r = 1

a=2q+1       (PS: the number is odd as it is not divisible by 2)

∴a natural number cannot be in form of 2q