The largest 4-digit number exactly divisible by 88 is

Options

A. 9944
B. 9768
C. 9988
D. 8888

Answer

To find the largest 4-digit number that is exactly divisible by 88, we can follow these steps:

### Step 1: Identify the largest 4-digit number
The largest 4-digit number is 9999.

### Step 2: Divide the largest 4-digit number by 88
We need to divide 9999 by 88 to determine how many times 88 fits into 9999.

\[ 9999 \div 88 \approx 113.625 \]

### Step 3: Find the integer part of the division
The integer part of the division is 113. This means 88 fits into 9999 a total of 113 times.

### Step 4: Multiply the integer part by 88
Now, we multiply 113 by 88 to find the largest multiple of 88 that is less than or equal to 9999.

\[ 113 \times 88 = 9944 \]

### Step 5: Conclusion
Thus, the largest 4-digit number that is exactly divisible by 88 is 9944.

### Final Answer
The largest 4-digit number exactly divisible by 88 is **9944**.

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