Find the largest 4 digit number which is divisible by 88.

Step-by-Step Solution

To find the largest 4-digit number divisible by a specific divisor, follow this systematic approach:

1. Identify the largest 4-digit number:

   • The largest 4-digit number is 9999.

2. Divide by the target divisor:

   • Divide 9999 by 88 to see how far it is from being perfectly divisible.

   • 9999 / 88 = 113 with a remainder of 55.

   • Calculation: 88 * 113 = 9944.

3. Subtract the remainder:

   • To get the largest number less than or equal to 9999 that is divisible by 88, subtract the remainder from the original number.

   • Required Number = 9999 - 55 = 9944.