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How many two-digit numbers are divisible by 7 and find their sum?

Published in Number Theory 1 min read

There are 13 two-digit numbers divisible by 7, and their sum is 728.

The two-digit numbers divisible by 7 are:

  • 14
  • 21
  • 28
  • 35
  • 42
  • 49
  • 56
  • 63
  • 70
  • 77
  • 84
  • 91
  • 98

As the reference stated: "The two digit positive numbers that are divisible by 7 are 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91 and 98. The sum of these is 729." Upon re-calculating, the sum is actually 728, and there are 13 numbers.


Therefore, let's summarize the key findings:

Category Value
Number of two-digit numbers divisible by 7 13
Sum of these numbers 728

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