Prime numbers 4 - Reasoning

To solve this numerical riddle, one must deduce a number that aligns with a set of specific criteria. Firstly, the number in question must be less than 80 and greater than 30, narrowing down the range of potential candidates. Additionally, the number must be a multiple of 9, which further limits the possibilities as it must be divisible by 9 without leaving a remainder. The stipulation that it must be an odd number eliminates all even multiples of 9 within the given range.

Another clue provided is that the number has a prime factor greater than 5. This means one of the factors of the number must be a prime number that is larger than 5. Taking all these clues into account, the number that fits all the criteria is 63. It is smaller than 80, greater than 30, a multiple of 9 (as 9 x 7 = 63), an odd number, and it has a prime factor greater than 5, which in this case is 7. Therefore, the number that satisfies all the given conditions is indeed 63.