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How do you find the largest 3 digit number divisible by 8?

Published in Math - Divisibility 1 min read

The largest 3-digit number divisible by 8 is 992.

Here's how to find it:


First, consider the largest 3-digit number, which is 999.


To find the largest 3-digit number divisible by 8, we can:

  • Divide 999 by 8.
  • The result is 124 with a remainder of 7.
  • This indicates that 999 is 7 more than a multiple of 8.
  • Subtract the remainder (7) from 999 to get the largest 3-digit number divisible by 8.

Therefore:


999 - 7 = 992


As the reference states, the required largest three-digit number that will be a multiple of 8 will be: 999 – 7 = 992. Therefore, 992 is the correct answer.


Step Explanation Result
1. Largest 3-digit number Identify the largest 3-digit number. 999
2. Divide by 8 Divide 999 by the target divisor (8). 124 R 7
3. Subtract the Remainder Subtract the remainder from the largest 3-digit number to find the largest multiple of 8. 992


In conclusion, the largest 3-digit number that is divisible by 8 is 992.


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