Test the divisibility of 5869473 by 11 .

Options

A. divisible
B. Not divisible
C. can not say anything
D. none of these

Answer

To determine if the number 5869473 is divisible by 11, we can follow the divisibility rule for 11, which involves the sums of the digits in odd and even positions.

### Step-by-Step Solution:

1. **Identify the digits of the number**:
The number is 5869473. The digits are:
- 5 (1st position)
- 8 (2nd position)
- 6 (3rd position)
- 9 (4th position)
- 4 (5th position)
- 7 (6th position)
- 3 (7th position)

2. **Separate the digits into odd and even positions**:
- Odd positioned digits (1st, 3rd, 5th, 7th): 5, 6, 4, 3
- Even positioned digits (2nd, 4th, 6th): 8, 9, 7

3. **Calculate the sum of the odd positioned digits**:
\[ \text{Sum of odd positioned digits} = 5 + 6 + 4 + 3 = 18 \]

4. **Calculate the sum of the even positioned digits**:
\[ \text{Sum of even positioned digits} = 8 + 9 + 7 = 24 \]

5. **Subtract the sum of the even positioned digits from the sum of the odd positioned digits**:
\[ \text{Difference} = \text{Sum of odd} - \text{Sum of even} = 18 - 24 = -6 \]

6. **Check the absolute value of the difference**:
The absolute value of -6 is 6.

7. **Determine if the result is divisible by 11**:
Since 6 is not divisible by 11, we conclude that 5869473 is not divisible by 11.

### Final Answer:
5869473 is **not divisible by 11**.

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