Question

what are the possible values of remainder r,when a positive integer is divided by 4​

Answer 1

Answer:

the answer will be infinite

Answer 2

Answer:

0, 1,2 and 3 are the possible remainders.

when a positive integer is divided by a number n then possible values of remainder are from 0 to (n-1).

Explanation:

quotient remainder theorem is

a = bq + r

if b =4 and let us assume r >=4.

then we can write r as (4+x).

a = 4q + (4+x)

= 4q + 4 + x

= 4(q+1) + x

we can take q+1 = m

then

a= 4m + x

that means x is from 0 to 3