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Python: Find the largest integer divisor of a number n that is less than n

Python Programming Puzzles: Exercise-37 with Solution

A divisor is a number that divides another number either completely or with a remainder.

Write a Python program to find the largest integer divisor of a number n that is less than n.

Input: 
18
Output:
9
Input: 
100
Output:
50
Input: 
102
Output:
51
Input: 
500
Output:
250
Input: 
1000
Output:
500
Input: 
6500
Output:
3250

Pictorial Presentation:

Python: Find the largest integer divisor of a number n that is less than n.

Sample Solution:

Python Code:

#License: https://bit.ly/3oLErEI

def test(n):
     return next(d for d in range(n - 1, 0, -1) if n % d == 0)
 
n = 18
print("Original number:",n)
print("Largest integer divisor of a number n that is less than n:")
print(test(n))
n = 100
print("Original number:",n)
print("Largest integer divisor of a number n that is less than n:")
print(test(n))
n = 102
print("Original number:",n)
print("Largest integer divisor of a number n that is less than n:")
print(test(n))
n = 500
print("Original number:",n)
print("Largest integer divisor of a number n that is less than n:")
print(test(n))
n = 1000
print("Original number:",n)
print("Largest integer divisor of a number n that is less than n:")
print(test(n))
n = 6500
print("Original number:",n)
print("Largest integer divisor of a number n that is less than n:")
print(test(n))

Sample Output:

Original number: 18
Largest integer divisor of a number n that is less than n:
9
Original number: 100
Largest integer divisor of a number n that is less than n:
50
Original number: 102
Largest integer divisor of a number n that is less than n:
51
Original number: 500
Largest integer divisor of a number n that is less than n:
250
Original number: 1000
Largest integer divisor of a number n that is less than n:
500
Original number: 6500
Largest integer divisor of a number n that is less than n:
3250

Flowchart:

Flowchart: Python - Find the largest integer divisor of a number n that is less than n.

Visualize Python code execution:

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Python Code Editor :

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Python: Tips of the Day

Clamps num within the inclusive range specified by the boundary values x and y:

Example:

def tips_clamp_num(num,x,y):
  return max(min(num, max(x, y)), min(x, y))
print(tips_clamp_num(2, 4, 6))
print(tips_clamp_num(1, -1, -6))

Output:

4
-1