# Exercise 3.3

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1.**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 |

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**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.**

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3.**Using divisibility tests, determine which of following numbers are divisible by 6:**

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4.**Using divisibility tests, determine which of the following numbers are divisible by 11:**

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**5. Write the smallest digit and the greatest digit in the blank space of each of the following numbers so that the number formed is divisible by 3 :**

**6. Write a digit in the blank space of each of the following numbers so that the number formed is divisible by 11**