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What is the smallest number of five digits divisible by 216?

Published in Mathematics 1 min read

The smallest five-digit number divisible by 216 is 10152.

To find this, we need to determine the smallest five-digit number (which is 10000) and then find the first multiple of 216 that is greater than or equal to 10000.

Here's the process:

  1. Divide the smallest five-digit number by 216: 10000 / 216 ≈ 46.296

  2. Round up to the next whole number: Since we need a whole number multiple, we round 46.296 up to 47.

  3. Multiply 216 by the rounded-up number: 216 * 47 = 10152

Therefore, 10152 is the smallest five-digit number divisible by 216.