To determine which of the given numbers are divisible by their respective divisors, we perform the following steps:
### 7. Divisibility by 6
A number is divisible by 6 if it is divisible by both 2 and 3. This means the number must be even, and the sum of its digits must be a multiple of 3.
- 9430: Not divisible by 6
- 3132: Divisible by 6
- 5704: Not divisible by 6
- 8316: Divisible by 6
- 8721: Not divisible by 6
- 7038: Divisible by 6
- 17703: Not divisible by 6
- 7812: Divisible by 6
Numbers divisible by 6: 3132, 8316, 7038, 7812
### 8. Divisibility by 7
A number is divisible by 7 if, when you double the last digit and subtract it from the rest of the number, you get a result that is divisible by 7.
- 252: Divisible by 7
- 1204: Divisible by 7
- 5843: Not divisible by 7
- 8036: Divisible by 7
- 9308: Not divisible by 7
- 3045: Divisible by 7
- 7833: Divisible by 7
- 5233: Not divisible by 7
Numbers divisible by 7: 252, 1204, 8036, 3045, 7833
### 9. Divisibility by 8
A number is divisible by 8 if the last three digits form a number that is divisible by 8.
- 50432: Divisible by 8
- 1372: Not divisible by 8
- 10568: Divisible by 8
- 62156: Not divisible by 8
- 279136: Divisible by 8
- 73152: Divisible by 8
- 796504: Divisible by 8
- 59238: Not divisible by 8
Numbers divisible by 8: 50432, 10568, 279136, 73152, 796504
### 10. Divisibility by 9
A number is divisible by 9 if the sum of its digits is a multiple of 9.
- 8316: Divisible by 9
- 7509: Not divisible by 9
- 4186: Not divisible by 9
- 26901: Divisible by 9
- 50553: Divisible by 9
- 12501: Divisible by 9
- 3499: Not divisible by 9
- 20367: Divisible by 9
Numbers divisible by 9: 8316, 26901, 50553, 12501, 20367
### 11. Divisibility by 10
A number is divisible by 10 if it ends in 0.
- 1155: Not divisible by 10
- 2960: Divisible by 10
- 8740: Divisible by 10
- 2068: Not divisible by 10
Numbers divisible by 10: 2960, 8740
In summary, the numbers divisible by each of the divisors are:
- 6: 3132, 8316, 7038, 7812
- 7: 252, 1204, 8036, 3045, 7833
- 8: 50432, 10568, 279136, 73152, 796504
- 9: 8316, 26901, 50553, 12501, 20367
- 10: 2960, 8740
