Write a program that asks the user for a positive integer limit and prints a table to visualize all factors of each integer ranging from 1 to limit. A factor i of a number n is an integer which divides n evenly (i.e. without remainder). For example, 4 and 5 are factors of 20, but 6 is not. Each row represents an integer between 1 and 20. The first row represents the number 1, the second row the number 2, and so forth. For a given position i (starting from 1) in a row n, '* ' indicates that i is a factor of n, and '- ' indicates that it is not.
Question
Write a program that asks the user for a positive integer limit and prints a table to visualize all factors of each integer ranging from 1 to limit. A factor i of a number n is an integer which divides n evenly (i.e. without remainder). For example, 4 and 5 are factors of 20, but 6 is not. Each row represents an integer between 1 and 20. The first row represents the number 1, the second row the number 2, and so forth. For a given position i (starting from 1) in a row n, '* ' indicates that i is a factor of n, and '- ' indicates that it is not.
Solution
Here is a Python program that accomplishes this task:
# Ask the user for a positive integer limit
limit = int(input("Enter a positive integer limit: "))
# Loop through each integer from 1 to limit
for i in range(1, limit + 1):
# Initialize an empty string to store the row
row = ''
# Loop through each integer from 1 to i
for j in range(1, i + 1):
# If j is a factor of i, add '* ' to the row
if i % j == 0:
row += '* '
# If j is not a factor of i, add '- ' to the row
else:
row += '- '
# Print the row
print(row)
This program first asks the user to input a positive integer limit. It then loops through each integer from 1 to the limit. For each integer, it creates a new row and checks each integer from 1 to the current integer to see if it is a factor. If it is a factor, it adds '* ' to the row. If it is not a factor, it adds '- ' to the row. Finally, it prints the row. This process is repeated for each integer up to the limit.
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