Respuesta :

The number with the given features in this problem is given as follows:

36.

How to obtain the number?

First we consider that the number is a square number, meaning that it has a perfect square root.

The number is between 10 and 99, hence the possible square numbers between 10 and 99 are given as follows:

  • 16, as 4² = 16.
  • 25, as 5² = 25.
  • 36, as 6² = 36.
  • 49, as 7² = 49.
  • 64, as 8² = 64.
  • 81, as 9² = 81.

The numbers with a sum of the digits of 9 are given as follows:

  • 36, as 3 + 6 = 9.
  • 81, as 8 + 1 = 9.

The factors of each number are given as follows:

  • 36: {1, 2, 3, 4, 6, 9, 12, 18, 36} -> nine factors, hence it is the number.
  • 81: {1, 3, 9, 27, 81} -> Five numbers.

More can be learned about square numbers at https://brainly.com/question/27307830

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