.For any positive integer` a` and `3`,there exist unique integers `q` and `r` such that `a=3q+r` where `r` must satisfy:

Euclid's division Lemma states that for two positive integers a and b, there exist unique integers q and r such that a=bq+r where r must satisfy.

Theorem 1.1 (Euclid’s Division Lemma) : Given positive integers a and b, there exist unique integers q and r satisfying a = bq + r, 0 ≤ r leq b.

Any positive integer cannot be of the form ( q in N )

Prove that if a and b are integers with b>0, then there exist unique integers q and r satisfying a=qb+r, where 2b<=r<3b

Show that any positive integer is of the from 3q or 3q+1 or 3q+2

The positive integers p,q and r, then possible value of r is 3(b)5(c)7(d)1

Show that any positive integer is of the form 3q or,3q+1 or,3q+2 for some integer q.