Question

The largest 4 digit number exactly divisible by 88 is:

• A. 8888
• B. 9944
• C. 9964
• D. 9988
• E.

Hint:

To find the largest multiple of a number within a given range, divide the largest number by the divisor, round down the quotient, and multiply it back by the divisor.

Answer 1

The Correct Option is B

To determine the largest 4-digit number that is divisible by 88, we start with the largest 4-digit number, 9999, and divide it by 88: \[ 9999 \div 88 = 113.625. \] 

Step 1: Take the Integer Part of the Quotient The integer part of 113.625 is 113. 

Step 2: Multiply by 88 to Find the Largest Multiple \[ 88 \times 113 = 9944. \] Thus, the largest 4-digit number that is divisible by 88 is \(\mathbf{9944}\).