(Q1).Verify the theorem proved above for p = 2 , p = 5 and for a2=1 , 4 , 9 , 25 , 36 , 49 , 64 and 81

a a2 p=2 p divides a2 p divides a
1 1 2
2 4 2
3 9 2
4 16 2
5 25 2
6 36 2
7 49 2
8 64 2
9 81 2

 

a a2 p=5 p divides a2 p divides a
1 1 5
2 4 5
3 9 5
4 16 5
5 25 5
6 36 5
7 49 5
8 64 5
9 81 5

From the above we can conculde that if a prime number 'p' divides a2, then it also divides a.