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How do you find the smallest 3 digit number divisible by 9?

Published in Divisibility Rules 1 min read

The smallest 3-digit number divisible by 9 is 108.

To find this, we can follow these steps:

  • Understanding Divisibility: A number is divisible by 9 if the sum of its digits is divisible by 9.

  • Identifying the Range: We're looking for a number between 100 (the smallest 3-digit number) and 999 (the largest 3-digit number).

  • Finding the Solution: As mentioned in the reference, we can go through the multiples of 9 and find the smallest 3-digit number in that set. That number is 108.

Alternatively, we can use division:

  1. Divide the smallest 3-digit number (100) by 9: 100 / 9 = 11.11...
  2. Round up the result to the nearest whole number: 12.
  3. Multiply this whole number by 9: 12 * 9 = 108.

Therefore, 108 is the smallest 3-digit number that is divisible by 9, as confirmed in the provided reference.

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