Assignment
Use the Division Algorithm to establish the following:
1. The square of an integer is either of the form \( 3 k \) or \( 3 k+1 \)
2. The cube of an integer has one of the forms: \( 9 k, 9 k+1 \) or \( 9 k+8 \)
3. The fourth power of an integer is either of the form \( 5 \mathrm{kor} \) \( 5 k+1 \)