Alice wrote $8$ positive numbers on the board and Bob claims that:
- TwoExactly two of them can be divided by $2$ without remainders.
- ThreeExactly three of them can be divided by $3$ without remainders.
- FourExactly four of them can be divided by $4$ without remainders.
- FiveExactly five of them can be divided by $5$ without remainders.
- SixExactly six of them can be divided by $6$ without remainders.
- SevenExactly seven of them can be divided by $7$ without remainders.
- EightExactly eight of them can be divided by $8$ without remainders.
But as you suspected some of these claims were not right.
What is the maximum number of claims that could be right?