The largest 5-digit number divisible by 6 is 99996.
Here's how to find it:
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Identify the largest 5-digit number: The largest 5-digit number is 99999.
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Divide by 6: Divide 99999 by 6.
99999 / 6 = 16666.5
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Consider the whole number part: We are only concerned with the whole number part of the result, which is 16666.
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Multiply by 6: Multiply the whole number part by 6.
16666 * 6 = 99996
Therefore, 99996 is the largest 5-digit number that is perfectly divisible by 6. This is because any larger multiple of 6 would be a 6-digit number.