What is the largest 4 digit number exactly divisible by 88?

Step-by-Step Solution

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

1. Identify the largest 4-digit number:

   • The largest 4-digit number is 9,999.

2. Divide by the target divisor:

   • Divide 9,999 by 88 to determine how much needs to be subtracted to make it perfectly divisible.

   • 9,999 ÷ 88 = 113 with a remainder of 55.

3. Determine the adjustment:

   • Since 9,999 is 55 units above a multiple of 88, we subtract this remainder from 9,999 to find the nearest lower multiple.

4. Find the required number:

   • 9,999 - 55 = 9,944.