Use division algorithm to show that any positive odd integer is of the form 6q + 1, or 6q + 3 or 6q + 5, where q is some integer

Use Euclid division lemma to show that any positive even integer is of the form 6q or 6q+2 or 6q+4, where q is some intergers.

Use Euclid division lemma to show that any positive odd integer is of the form 6q+1 or 6q+5 , where q is some integers.

Show that any positive odd integer is of the form 4q+1 or 4q+3, where q is some integer.

Use division algorithm to show that the cube of any positive integer is of the form 9 m, 9m + 1 or 9m + 8.

Use Euclid division Lemma to show that any positive even integer is of the form. 2q or 2q+2 or 2q+4 where q is some integer.

Use Eulcid division Lemma to show that any positive odd integer is the form 2q+1 , 2q+3 or 2q+5 when q is some integer.

Use Euclid division Lemma to show that any positive even interger is of the form 4q or 4q+2 or 4q+4 when q is some integer.

Show that every positive even integer is of the form 2q, and that every positive odd integer is of the form 2q + 1, where q is some integer.

Show that every postitive even integer is of the form 2q , and that every positive odd integer is of the form 2q+1 , where q is some integer.

Use Euclid's division lemma to show that the square of any positive integer is of the form 5n or 5n+1 or 5n+4, where n is a whole number.