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

Question

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

UpStudy AI · Accepted Answer

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 $$8$$.
The possible values for $$ k $$ are 0, 2, 4, 6, and 8.

Try Find if the number is divisible by 4.
it!

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