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What is the Least 5-Digit Number Divisible by 7?

Published in Number Theory 1 min read

The least 5-digit number divisible by 7 is 10003.

Understanding how to find such a number involves a simple process. Here's a breakdown:

The smallest 5-digit number is 10000. However, 10000 is not divisible by 7. We need to find the next multiple of 7.

Here's how we can approach this:

  • Divide: Divide 10000 by 7. The result is approximately 1428.57.
  • Round Up: Round this number up to the next whole number, which is 1429.
  • Multiply: Multiply 1429 by 7, which results in 10003.

Therefore, the smallest 5-digit number that is perfectly divisible by 7 is 10003.

As our reference states, “So the least 5 digit number divisible by 7 is 10003.”

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