# 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:**

**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:**

**Python Code Editor :**

**Have another way to solve this solution? Contribute your code (and comments) through Disqus.**

**Previous:** Find the largest k numbers.

**Next:** Sort the numbers by the sum of their digits.

**What is the difficulty level of this exercise?**

Test your Programming skills with w3resource's quiz.

**Weekly Trends**- Python Interview Questions and Answers: Comprehensive Guide
- Scala Exercises, Practice, Solution
- Kotlin Exercises practice with solution
- MongoDB Exercises, Practice, Solution
- SQL Exercises, Practice, Solution - JOINS
- Java Basic Programming Exercises
- SQL Subqueries
- Adventureworks Database Exercises
- C# Sharp Basic Exercises
- SQL COUNT() with distinct
- JavaScript String Exercises
- JavaScript HTML Form Validation
- Java Collection Exercises
- SQL COUNT() function
- SQL Inner Join