Python if and else print condition

If an integer is divisible by 3, print "Hi"

If it is divisible by 7, print "Bye"

If it is divisible by both 3 and 7, print "HiBye"

As of now I have tried:

for i in range(1,100):
    if i % 3 == 0:
        print "Hi"
    if i % 7 == 0:
        print "Bye"
    if i % 3 == 0 and i % 7 == 0:
        print "HiBye"
    else: 
        print i

But my numbers are repeated. i.e. this is the output I get.

1
2
Hi
3
4
5
Hi
6
Bye
7
8
Hi
9
10
11
Hi
12
13
Bye
14
Hi
15
16
17
Hi
18
19
20
Hi
Bye
HiBye

As you can see, the 3 is repeated again. I think the mistake is in the

else:
    print i

statement