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

2023

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

  1. A.

    9999

  2. B.

    9988

  3. C.

    9876

  4. D.

    9944

Attempted by 26 students.

Show answer & explanation

Correct answer: D

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

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

2. Divide by the divisor (88):
Divide 9999 by 88 to see if it is perfectly divisible.
9999 / 88 = 113 with a remainder.

9999 / 88 = 113.625

88 * 113 = 9944

3. Find the remainder:
The remainder is 9999 - 9944 = 55.

4. Subtract the remainder from the largest number:
To find the largest number exactly divisible by 88, subtract the remainder from the original number:
9999 - 55 = 9944.

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