askvity

What is the first three-digit natural number divisible by 7?

Published in Math Numbers 1 min read

The first three-digit natural number divisible by 7 is 105.

According to the provided reference, "Hence 105 is the smallest 3 digit number that is divisible by 7." This statement directly answers the question.

Here's a breakdown of how we arrive at this:

  • The smallest three-digit number is 100.
  • We need to find the first multiple of 7 that is greater than or equal to 100.
  • Dividing 100 by 7 gives us approximately 14.28.
  • This means that 14 7 = 98 (which is less than 100) and 15 7 is the next multiple of 7.
  • 15 * 7 = 105

Therefore:

Calculation Result
100 / 7 14.28
14 * 7 98
15 * 7 105

Thus, 105 is the first three-digit number divisible by 7.

Related Articles