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What is the largest four digit number divisible by 16?

Published in Number Theory 1 min read

The largest four-digit number divisible by 16 is 9984.

To find this, we need to identify the largest four-digit number and then determine the nearest multiple of 16 that is less than or equal to it.

Here's how we can find it:

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

  2. Divide by 16: Divide 9999 by 16: 9999 / 16 = 624.9375

  3. Take the integer part: Take the integer part of the result (624)

  4. Multiply by 16: Multiply this integer (624) by 16: 624 * 16 = 9984

Therefore, 9984 is the largest four-digit number that is exactly divisible by 16.

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