Python: Find all 5's in integers less than n that are divisible by 9 or 15

Last update on May 30 2025 11:50:15 (UTC/GMT +8 hours)

Fives Divisible by 9 or 15

Write a Python program to find all 5's in integers less than n that are divisible by 9 or 15.

Input:
Value of n =  50
Output:
[[15, 1], [45, 1]]
Input:
Value of n =  65
Output:
[[15, 1], [45, 1], [54, 0]]
Input:
Value of n =  75
Output:
[[15, 1], [45, 1], [54, 0]]
Input:
Value of n =  85
Output:
[[15, 1], [45, 1], [54, 0], [75, 1]]
Input:
Value of n =  150
Output:
[[15, 1], [45, 1], [54, 0], [75, 1], [105, 2], [135, 2]]

Visual Presentation:

Sample Solution-1:

Python Code:

# Define a function named 'test' that takes an integer 'n' as input
def test(n):
    # Using list comprehension to generate a list of pairs [i, j] for each i and j satisfying the conditions
    return [[i, j] for i in range(n) for j in range(len(str(i))) if str(i)[j] == '5' and (i % 15 == 0 or i % 9 == 0)]

# Example 1
n1 = 50
print("Value of n =", n1)
print("5's in integers less than", n1, "that are divisible by 9 or 15:")
print(test(n1))

# Example 2
n2 = 65
print("\nValue of n =", n2)
print("5's in integers less than", n2, "that are divisible by 9 or 15:")
print(test(n2))

# Example 3
n3 = 75
print("\nValue of n =", n3)
print("5's in integers less than", n3, "that are divisible by 9 or 15:")
print(test(n3))

# Example 4
n4 = 85
print("\nValue of n =", n4)
print("5's in integers less than", n4, "that are divisible by 9 or 15:")
print(test(n4))

# Example 5
n5 = 150
print("\nValue of n =", n5)
print("5's in integers less than", n5, "that are divisible by 9 or 15:")
print(test(n5))

Sample Output:

Value of n =  50
5's in integers less than 50 that are divisible by 9 or 15:
[[15, 1], [45, 1]]

Value of n =  65
5's in integers less than 65 that are divisible by 9 or 15:
[[15, 1], [45, 1], [54, 0]]

Value of n =  75
5's in integers less than 75 that are divisible by 9 or 15:
[[15, 1], [45, 1], [54, 0]]

Value of n =  85
5's in integers less than 85 that are divisible by 9 or 15:
[[15, 1], [45, 1], [54, 0], [75, 1]]

Value of n =  150
5's in integers less than 150 that are divisible by 9 or 15:
[[15, 1], [45, 1], [54, 0], [75, 1], [105, 2], [135, 2]]

Flowchart:

Sample Solution-2:

Python Code:

# Define a function named 'test' that takes an integer 'n' as input
def test(n):
    # Using list comprehension to generate a list of pairs [i, j] for each i and j satisfying the conditions
    return [[i, j] for i in range(n) if (i % 9 == 0 or i % 15 == 0) for j, c in enumerate(str(i)) if c == '5']

# Example 1
n1 = 50
print("Value of n =", n1)
print("5's in integers less than", n1, "that are divisible by 9 or 15:")
print(test(n1))

# Example 2
n2 = 65
print("\nValue of n =", n2)
print("5's in integers less than", n2, "that are divisible by 9 or 15:")
print(test(n2))

# Example 3
n3 = 75
print("\nValue of n =", n3)
print("5's in integers less than", n3, "that are divisible by 9 or 15:")
print(test(n3))

# Example 4
n4 = 85
print("\nValue of n =", n4)
print("5's in integers less than", n4, "that are divisible by 9 or 15:")
print(test(n4))

# Example 5
n5 = 150
print("\nValue of n =", n5)
print("5's in integers less than", n5, "that are divisible by 9 or 15:")
print(test(n5))

Sample Output:

Value of n =  50
5's in integers less than 50 that are divisible by 9 or 15:
[[15, 1], [45, 1]]

Value of n =  65
5's in integers less than 65 that are divisible by 9 or 15:
[[15, 1], [45, 1], [54, 0]]

Value of n =  75
5's in integers less than 75 that are divisible by 9 or 15:
[[15, 1], [45, 1], [54, 0]]

Value of n =  85
5's in integers less than 85 that are divisible by 9 or 15:
[[15, 1], [45, 1], [54, 0], [75, 1]]

Value of n =  150
5's in integers less than 150 that are divisible by 9 or 15:
[[15, 1], [45, 1], [54, 0], [75, 1], [105, 2], [135, 2]]

Flowchart:

For more Practice: Solve these Related Problems:

• Write a Python program to generate numbers less than n that contain the digit 5 and are divisible by either 9 or 15.
• Write a Python program to filter a range of numbers for those containing 5 and satisfying divisibility conditions, and return a list of such pairs.
• Write a Python program to use list comprehension to select numbers that include digit 5 and check divisibility by 9 or 15, pairing them with a flag.
• Write a Python program to iterate through numbers below n and output a list of numbers containing 5 that meet the divisibility criteria.

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