Exercise 6.3.3
- Using divisibility 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 (saying, yes or no):
| Numbers | 2 | 3 | 4 | 5 | 6 | 8 | 9 | 10 | 11 |
|---|---|---|---|---|---|---|---|---|---|
| 128 | Yes | No | |||||||
| 990 | Yes | No | Yes | ||||||
| 1586 | No | No | No | No | |||||
| 275 | Yes | No | |||||||
| 6686 | No | No | |||||||
| 639210 | No | No | |||||||
| 429714 | Yes | ||||||||
| 2856 | Yes | ||||||||
| 3060 | Yes | No | |||||||
| 406839 | No | No |
- Using divisibility tests, determine which of the following numbers are divisible by 4, by 8:
Hint: A number is divisible by 4 if the last two digits form a number that is divisible by 4. A number is divisible by 8 if the last three digits form a number that is divisible by 8.
572
726352
5500
6000
12159
14560
21084
31795072
1700
2150
divisible by 4
divisible by 8
divisible by 4,8
neither
3. Using divisibility tests, determine which of following numbers are divisible by 6:
297144
1258
4335
61233
901352
438750
1790184
divisible by 6
not divisible by 6
4. Using divisibility tests, determine which of the following numbers are divisible by 11:
5445
10824
7138965
70169308
10000001
901153
divisible by 11
not divisible by 11