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What is the smallest number of 6 digits exactly divisible by 300?

Published in Mathematics 1 min read

The smallest 6-digit number exactly divisible by 300 is 100200.

To find this, we need to determine the smallest 6-digit number and then find the first multiple of 300 that is greater than or equal to that number.

  1. Smallest 6-digit number: The smallest 6-digit number is 100,000.

  2. Divisibility check: Divide 100,000 by 300: 100,000 / 300 = 333.333...

  3. Finding the multiple: Since 100,000 is not perfectly divisible by 300, we need to find the next whole number greater than 333.333..., which is 334.

  4. Calculating the number: Multiply 334 by 300: 334 * 300 = 100,200.

Therefore, 100,200 is the smallest 6-digit number divisible by 300.

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