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Using pisibility tests, determine which of the following numbers are divisible by $2$; by $3$; by $4$; by $5$; by $6$; by $8$; by $9;$ by $10$; by $11$ $(say,\ yes\ or\ no):
"
Solution:
Numbers | 2 | 3 | 4 | 5 | 6 | 8 | 9 | 10 | 11 |
128 | Yes | No | Yes | No | No | Yes | No | No | No |
990 | Yes | Yes | No | Yes | Yes | No | Yes | Yes | Yes |
1586 | Yes | No | No | No | No | No | No | No | No |
275 | No | No | NO | Yes | No | No | No | No | Yes |
6686 | Yes | No | No | No | No | No | No | No | No |
639210 | Yes | Yes | No | Yes | Yes | No | No | Yes | Yes |
429714 | Yes | Yes | No | No | Yes | No | Yes | No | No |
2856 | Yes | Yes | Yes | No | Yes | Yes | No | No | No |
3060 | Yes | Yes | Yes | Yes | Yes | No | Yes | Yes | No |
406839 | No | Yes | No | No | No | No | No | No | No |
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