Try Find \( k \) if the number \( 25348937 k 4 \) is divisible by 4. it! \( \begin{array}{llllll}\text { (4) } 3 & \text { B } 5 & \text { C } 6 & \text { D } 7\end{array} \)

To determine the value(s) of \( k \) such that the number \( 25348937k4 \) is divisible by 4, we can use the rule for divisibility by 4: **A number is divisible by 4 if the number formed by its last two digits is divisible by 4.** Given the number \( 25348937k4 \), the last two digits are \( k4 \). We need to find all possible digits \( k \) (where \( k \) is between 0 and 9) that make \( k4 \) divisible by 4. Let's analyze the possible values: 1. **\( k = 0 \)**: - Number formed: 04 - \( 04 \div 4 = 1 \) (Divisible by 4) 2. **\( k = 1 \)**: - Number formed: 14 - \( 14 \div 4 = 3.5 \) (Not divisible by 4) 3. **\( k = 2 \)**: - Number formed: 24 - \( 24 \div 4 = 6 \) (Divisible by 4) 4. **\( k = 3 \)**: - Number formed: 34 - \( 34 \div 4 = 8.5 \) (Not divisible by 4) 5. **\( k = 4 \)**: - Number formed: 44 - \( 44 \div 4 = 11 \) (Divisible by 4) 6. **\( k = 5 \)**: - Number formed: 54 - \( 54 \div 4 = 13.5 \) (Not divisible by 4) 7. **\( k = 6 \)**: - Number formed: 64 - \( 64 \div 4 = 16 \) (Divisible by 4) 8. **\( k = 7 \)**: - Number formed: 74 - \( 74 \div 4 = 18.5 \) (Not divisible by 4) 9. **\( k = 8 \)**: - Number formed: 84 - \( 84 \div 4 = 21 \) (Divisible by 4) 10. **\( k = 9 \)**: - Number formed: 94 - \( 94 \div 4 = 23.5 \) (Not divisible by 4) **Valid values of \( k \) are:** 0, 2, 4, 6, and 8. **Final Answer:** All even digits for \( k \), specifically \( k = 0,\ 2,\ 4,\ 6,\) or \(8\).