1. State the divisibility tests for 2,4 and 6 with an example for each.

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### Divisibility Test for $$2$$
- **Test:** A number is divisible by $$2$$ if its last (units) digit is even (i.e., $$0, 2, 4, 6,$$ or $$8$$).
- **Example:** Consider the number $$246$$.
  - The last digit is $$6$$, which is even.
  - Therefore, $$246$$ is divisible by $$2$$.

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### Divisibility Test for $$4$$
- **Test:** A number is divisible by $$4$$ if the number formed by its last two digits is divisible by $$4$$.
- **Example:** Consider the number $$316$$.
  - The last two digits form the number $$16$$.
  - Since $$16 \div 4 = 4$$ (without remainder), $$316$$ is divisible by $$4$$.

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### Divisibility Test for $$6$$
- **Test:** A number is divisible by $$6$$ if it is divisible by both $$2$$ and $$3$$.
  - **Divisibility by $$2$$:** The last digit must be even.
  - **Divisibility by $$3$$:** The sum of its digits must be divisible by $$3$$.
- **Example:** Consider the number $$132$$.
  - **For $$2$$:** The last digit is $$2$$, which is even.
  - **For $$3$$:** The sum of the digits is $$1 + 3 + 2 = 6$$, and $$6 \div 3 = 2$$ (without remainder).
  - Since $$132$$ satisfies both conditions, it is divisible by $$6$$.
- **Divisible by 2:** If the last digit is even (0, 2, 4, 6, 8). Example: 246 is divisible by 2. - **Divisible by 4:** If the last two digits form a number divisible by 4. Example: 316 is divisible by 4. - **Divisible by 6:** If the number is divisible by both 2 and 3. Example: 132 is divisible by 6.

1. State the divisibility tests for 2,4 and 6 with an example for each.

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