Python - Factors Frequency Dictionary

Python - Factors Frequency Dictionary

In this tutorial, we'll see how to create a frequency dictionary for factors of numbers in a given list. This will show how often each factor appears among all the numbers in the list.

Steps:

  1. Define a function to get all factors of a number.
  2. Traverse through the given list and for each number, get its factors.
  3. For each factor, increment its count in the frequency dictionary.
  4. Return the frequency dictionary.

Implementation:

# Step 1: Define a function to get all factors of a number def get_factors(n): factors = [] for i in range(1, n+1): if n % i == 0: factors.append(i) return factors # Step 2, 3, 4: Traverse through the list and build the frequency dictionary def factors_frequency(numbers): freq_dict = {} for num in numbers: for factor in get_factors(num): if factor in freq_dict: freq_dict[factor] += 1 else: freq_dict[factor] = 1 return freq_dict # Example: numbers = [10, 15, 20] print(factors_frequency(numbers))

Expected Output:

{ 1: 3, # 1 is a factor of all three numbers (10, 15, 20) 2: 2, # 2 is a factor of both 10 and 20 5: 3, # 5 is a factor of all three numbers 10: 2, # 10 is a factor of itself and 20 3: 1, # 3 is a factor only of 15 15: 1, # 15 is a factor only of itself 4: 1, # 4 is a factor only of 20 20: 1 # 20 is a factor only of itself }

Explanation:

The function get_factors returns all the factors of a given number. The function factors_frequency then iterates over each number in the list and its factors, updating the frequency dictionary as it goes.

This tutorial demonstrates how to construct a frequency dictionary for the factors of numbers in a Python list.

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