What is the largest four digit number which is exactly divisible by 88 what are the steps to find it

Mathematics
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What is the largest four digit number which is exactly divisible by 88 what are the steps to find it

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What is the largest four-digit number which is exactly divisible by 88, and what are the steps to find it?

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

  1. Determine the largest four-digit number: The largest four-digit number is 9999.

  2. Find the largest multiple of 88 that is less than or equal to 9999: Divide 9999 by 88 to find the quotient and remainder. The quotient will give us the largest multiple of 88.

    9999 ÷ 88 = 113 remainder 55

    The quotient is 113, which means the largest multiple of 88 less than or equal to 9999 is 88 * 113 = 9864.

  3. Verify if 9864 is indeed divisible by 88: Divide 9864 by 88 to check if there is no remainder. If the division is exact, then 9864 is the largest four-digit number divisible by 88.

    9864 ÷ 88 = 112

    Since the division is exact and there is no remainder, we can conclude that 9864 is the largest four-digit number exactly divisible by 88.

Therefore, the largest four-digit number which is exactly divisible by 88 is 9864.