Answer :
Alright, let's resolve the problem step by step, double-checking each divisibility condition against the given numbers:
1. 144:
- Divisible by: 2, 3, 4, 6, 8, 9, 12
- Not divisible by: 5, 10, 11
```
(2) (3) (4) (6) (8) (9) □5 □10 □11 (12)
```
2. 996:
- Divisible by: 2, 3, 4, 6, 12
- Not divisible by: 5, 8, 9, 10, 11
```
(2) (3) (4) (6) □5 □8 □9 □10 □11 (12)
```
3. 2024:
- Divisible by: 2, 4, 8, 11
- Not divisible by: 3, 5, 6, 9, 10, 12
```
(2) □3 (4) □5 □6 (8) □9 □10 (11) □12
```
4. 72:
- Divisible by: 2, 3, 4, 6, 8, 9, 12
- Not divisible by: 5, 10, 11
```
(2) (3) (4) (6) (8) (9) □5 □10 □11 (12)
```
5. 1068:
- Divisible by: 2, 3, 4, 6, 12
- Not divisible by: 5, 8, 9, 10, 11
```
(2) (3) (4) (6) □5 □8 □9 □10 □11 (12)
```
6. 472:
- Divisible by: 2, 4, 8
- Not divisible by: 3, 5, 6, 9, 10, 11, 12
```
(2) □3 (4) □5 □6 (8) □9 □10 □11 □12
```
7. 316:
- Divisible by: 2, 4
- Not divisible by: 3, 5, 6, 8, 9, 10, 11, 12
```
(2) □3 (4) □5 □6 □8 □9 □10 □11 □12
```
8. 220:
- Divisible by: 2, 4, 5, 10, 11
- Not divisible by: 3, 6, 8, 9, 12
```
(2) □3 (4) (5) □6 □8 □9 (10) (11) □12
```
9. 319:
- Divisible by: 11
- Not divisible by: 2, 3, 4, 5, 6, 8, 9, 10, 12
```
□2 □3 □4 □5 □6 □8 □9 □10 (11) □12
```
10. 314:
- Divisible by: 2
- Not divisible by: 3, 4, 5, 6, 8, 9, 10, 11, 12
```
(2) □3 □4 □5 □6 □8 □9 □10 □11 □12
```
11. 960:
- Divisible by: 2, 3, 4, 5, 6, 8, 10, 12
- Not divisible by: 9, 11
```
(2) (3) (4) (5) (6) (8) □9 (10) □11 (12)
```
12. 48:
- Divisible by: 2, 3, 4, 6, 8, 12
- Not divisible by: 5, 9, 10, 11
```
(2) (3) (4) (6) □5 (8) □9 □10 □11 (12)
```
13. 828:
- Divisible by: 2, 3, 4, 6, 9, 12
- Not divisible by: 5, 8, 10, 11
```
(2) (3) (4) □5 (6) □8 (9) □10 □11 (12)
```
14. 847:
- Divisible by: 11
- Not divisible by: 2, 3, 4, 5, 6, 8, 9, 10, 12
```
□2 □3 □4 □5 □6 □8 □9 □10 (11) □12
```
15. 3:
- Divisible by: 3
- Not divisible by: 2, 4, 5, 6, 8, 9, 10, 11, 12
```
□2 (3) □4 □5 □6 □8 □9 □10 □11 □12
```
And that completes the detailed step-by-step solution!
1. 144:
- Divisible by: 2, 3, 4, 6, 8, 9, 12
- Not divisible by: 5, 10, 11
```
(2) (3) (4) (6) (8) (9) □5 □10 □11 (12)
```
2. 996:
- Divisible by: 2, 3, 4, 6, 12
- Not divisible by: 5, 8, 9, 10, 11
```
(2) (3) (4) (6) □5 □8 □9 □10 □11 (12)
```
3. 2024:
- Divisible by: 2, 4, 8, 11
- Not divisible by: 3, 5, 6, 9, 10, 12
```
(2) □3 (4) □5 □6 (8) □9 □10 (11) □12
```
4. 72:
- Divisible by: 2, 3, 4, 6, 8, 9, 12
- Not divisible by: 5, 10, 11
```
(2) (3) (4) (6) (8) (9) □5 □10 □11 (12)
```
5. 1068:
- Divisible by: 2, 3, 4, 6, 12
- Not divisible by: 5, 8, 9, 10, 11
```
(2) (3) (4) (6) □5 □8 □9 □10 □11 (12)
```
6. 472:
- Divisible by: 2, 4, 8
- Not divisible by: 3, 5, 6, 9, 10, 11, 12
```
(2) □3 (4) □5 □6 (8) □9 □10 □11 □12
```
7. 316:
- Divisible by: 2, 4
- Not divisible by: 3, 5, 6, 8, 9, 10, 11, 12
```
(2) □3 (4) □5 □6 □8 □9 □10 □11 □12
```
8. 220:
- Divisible by: 2, 4, 5, 10, 11
- Not divisible by: 3, 6, 8, 9, 12
```
(2) □3 (4) (5) □6 □8 □9 (10) (11) □12
```
9. 319:
- Divisible by: 11
- Not divisible by: 2, 3, 4, 5, 6, 8, 9, 10, 12
```
□2 □3 □4 □5 □6 □8 □9 □10 (11) □12
```
10. 314:
- Divisible by: 2
- Not divisible by: 3, 4, 5, 6, 8, 9, 10, 11, 12
```
(2) □3 □4 □5 □6 □8 □9 □10 □11 □12
```
11. 960:
- Divisible by: 2, 3, 4, 5, 6, 8, 10, 12
- Not divisible by: 9, 11
```
(2) (3) (4) (5) (6) (8) □9 (10) □11 (12)
```
12. 48:
- Divisible by: 2, 3, 4, 6, 8, 12
- Not divisible by: 5, 9, 10, 11
```
(2) (3) (4) (6) □5 (8) □9 □10 □11 (12)
```
13. 828:
- Divisible by: 2, 3, 4, 6, 9, 12
- Not divisible by: 5, 8, 10, 11
```
(2) (3) (4) □5 (6) □8 (9) □10 □11 (12)
```
14. 847:
- Divisible by: 11
- Not divisible by: 2, 3, 4, 5, 6, 8, 9, 10, 12
```
□2 □3 □4 □5 □6 □8 □9 □10 (11) □12
```
15. 3:
- Divisible by: 3
- Not divisible by: 2, 4, 5, 6, 8, 9, 10, 11, 12
```
□2 (3) □4 □5 □6 □8 □9 □10 □11 □12
```
And that completes the detailed step-by-step solution!