# 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

**Visual Presentation:**

**Sample Solution:**

**Python Code:**

```
# License: https://bit.ly/3oLErEI
# Define a function named 'test' that takes an integer 'n' as input
def test(n):
# Return the largest integer divisor of 'n' that is less than 'n'
return next(d for d in range(n - 1, 0, -1) if n % d == 0)
# Assign a specific value 'n' to the variable
n = 18
# Print a message indicating the original number
print("Original number:", n)
# Print a message indicating the operation to be performed
print("Largest integer divisor of a number n that is less than n:")
# Print the result of the test function applied to 'n'
print(test(n))
# Assign another specific value 'n' to the variable
n = 100
# Print a message indicating the original number
print("\nOriginal number:", n)
# Print a message indicating the operation to be performed
print("Largest integer divisor of a number n that is less than n:")
# Print the result of the test function applied to 'n'
print(test(n))
# Assign another specific value 'n' to the variable
n = 102
# Print a message indicating the original number
print("\nOriginal number:", n)
# Print a message indicating the operation to be performed
print("Largest integer divisor of a number n that is less than n:")
# Print the result of the test function applied to 'n'
print(test(n))
# Assign another specific value 'n' to the variable
n = 500
# Print a message indicating the original number
print("\nOriginal number:", n)
# Print a message indicating the operation to be performed
print("Largest integer divisor of a number n that is less than n:")
# Print the result of the test function applied to 'n'
print(test(n))
# Assign another specific value 'n' to the variable
n = 1000
# Print a message indicating the original number
print("\nOriginal number:", n)
# Print a message indicating the operation to be performed
print("Largest integer divisor of a number n that is less than n:")
# Print the result of the test function applied to 'n'
print(test(n))
# Assign another specific value 'n' to the variable
n = 6500
# Print a message indicating the original number
print("\nOriginal number:", n)
# Print a message indicating the operation to be performed
print("Largest integer divisor of a number n that is less than n:")
# Print the result of the test function applied to '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

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