Project Name: Advanced Prime Number and Factor Finder
Description This is a Python-based tool designed to find prime numbers within a specific range provided by the user. It does not just identify prime numbers but also explains why a number is not prime by showing its smallest divisor.
How the Code Works The program follows a logical sequence to process the numbers: (1)User Input: It asks the user to enter a starting digit and an ending digit to define the range. (2)Filtering: It automatically skips any number less than 2 because prime numbers start from 2. (3)Prime Check: It uses a loop to check every number in the range. It assumes a number is prime (is_prime = True) unless it finds a factor. (4)Factor Finding: It tries to divide the current number by all integers starting from 2 up to the number itself. (5)Efficiency: If the program finds a number that can divide the current digit (remainder is zero), it stops checking further for that specific digit using the "break" command. (6)Output: It prints a clear message for each number, either confirming it is prime or showing which number divides it
Project Logic Summary The core logic relies on the "Modulo" operator (%) to check for remainders and "Nested Loops" to scan through the range and the possible factors simultaneously.