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What is the largest four digit number exactly divisible by 8?

Published in Divisibility Rules 1 min read

The largest four-digit number exactly divisible by 8 is 9992.

Finding the Largest Four-Digit Number Divisible by 8

To find the largest four-digit number divisible by 8, we can follow these steps:

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

  2. Divide by 8: Divide 9999 by 8. The result is 1249 with a remainder of 7.

  3. Subtract the remainder: Subtract the remainder (7) from the largest four-digit number (9999): 9999 - 7 = 9992.

According to the reference provided, the greatest four digit number divisible by 8 is found by subtracting 8 from 10000: 10000 - 8 = 9992. This confirms our result. While the reference's reasoning is slightly different, the final answer aligns perfectly with the calculation above.

Therefore, 9992 is the largest four-digit number exactly divisible by 8.

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