444444444 divided by 13, the remainder obtained is ?

Options

A. 11
B. 2
C. 0
D. 4

Answer

To find the remainder when 444444444 is divided by 13, we can break down the problem into manageable steps.

### Step-by-step Solution:

1. **Identify the number to be divided**:
We have the number 444444444, which can be expressed as \( 444 \times 1001001 \) because \( 444444444 = 444 \times 1001001 \).

2. **Factor the large number**:
The number 1001001 can be factored. We know that \( 1001001 = 7 \times 11 \times 13 \). This means that 1001001 is divisible by 13.

3. **Dividing by 13**:
Since \( 1001001 \) is divisible by 13, we can simplify our division:
\[ 444444444 \div 13 = 444 \times (1001001 \div 13) = 444 \times (7 \times 11) \]
Since \( 1001001 \) is completely divisible by 13, we can ignore it for the purpose of finding the remainder.

4. **Finding the remainder of 444 divided by 13**:
Now we need to find the remainder when 444 is divided by 13. We perform the division:
\[ 444 \div 13 \]
- 13 goes into 44 three times (since \( 13 \times 3 = 39 \)).
- Subtract \( 39 \) from \( 44 \), which gives \( 5 \).
- Bring down the next digit (4), making it \( 54 \).
- 13 goes into 54 four times (since \( 13 \times 4 = 52 \)).
- Subtract \( 52 \) from \( 54 \), which gives \( 2 \).

5. **Conclusion**:
The remainder when 444 is divided by 13 is \( 2 \). Therefore, the remainder when 444444444 is divided by 13 is also \( 2 \).

### Final Answer:
The remainder obtained when 444444444 is divided by 13 is **2**.