1. Stare the divisibitiry teests for 2,4 and 6 with an example for each.

## Divisibility by 2 - **Rule:** A number is divisible by \(2\) if its last digit is even (i.e., \(0\), \(2\), \(4\), \(6\), or \(8\)). - **Example:** Consider \(246\). The last digit is \(6\) (even), so \(246\) is divisible by \(2\). ## Divisibility by 4 - **Rule:** A number is divisible by \(4\) if the number formed by its last two digits is divisible by \(4\). - **Example:** Consider \(312\). The last two digits form \(12\), and since \(12 \div 4 = 3\) (an integer), \(312\) is divisible by \(4\). ## Divisibility by 6 - **Rule:** A number is divisible by \(6\) if it is divisible by both \(2\) and \(3\). This means its last digit must be even (for divisibility by \(2\)) and the sum of its digits must be divisible by \(3\). - **Example:** Consider \(114\). It ends with \(4\) (even) and the sum of its digits is \(1+1+4=6\). Since \(6 \div 3 = 2\) (an integer), \(114\) is divisible by \(3\) and hence by \(6\).