# Python Program to Find Smallest Prime Divisor of a Number

Prime Divisor:

The prime divisor of a polynomial is a non-constant integer that is divisible by the prime and is known as the prime divisor.

Some prime divisors are 2 , 3 , 5 ,7 , 11 ,13 ,17 ,19 and 23 etc.

Divisors can be both positive and negative in character. A divisor is an integer and its negation.

Given a number, the task is to print the smallest divisor of the given number in Python.

Examples:

Example1:

Input:

Given number =91

Output:

The smallest prime divisor the number [ 91 ] is [ 7 ]

Example2:

Input:

Given number =240

Output:

The smallest prime divisor the number [ 240 ] is [ 2 ]

## Program to Find Smallest Prime Divisor of a Number in Python

Below are the ways to print the smallest divisor of the given number in Python.

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### Method #1: Using For Loop (Static Input)

Approach:

• Give the number as static input and store it in a variable.
• Take an empty list and initialize it’s with an empty list using list() and [].
• Loop from 2 to the given number using the For loop.
• Check if the iterator value divides the given number using the % operator and the If statement.
• If It is true then append it to the list.
• Print the first element of the list using the index 0.
• The Exit of the Program.

Below is the implementation:

# Give the number as static input and store it in a variable.
numb = 91
# Take an empty list and initialize it's with an empty list using list() and [].
nwlist = []
# Loop from 2 to the given number using the For loop.
for m in range(2, numb+1):
# Check if the iterator value divides the given number
# using the % operator and the If statement.
if(numb % m == 0):
# If It is true then append it to the list.
nwlist.append(m)
smalldivisor = nwlist[0]
# Print the first element of the list using the index 0.
print(
'The smallest prime divisor the number [', numb, '] is [', smalldivisor, ']')


Output:

The smallest prime divisor the number [ 91 ] is [ 7 ]

### Method #2: Using For Loop (User Input)

Approach:

• Give the number as user input using the int(input()) function and store it in a variable.
• Take an empty list and initialize it’s with an empty list using list() and [].
• Loop from 2 to the given number using the For loop.
• Check if the iterator value divides the given number using the % operator and the If statement.
• If It is true then append it to the list.
• Print the first element of the list using the index 0.
• The Exit of the Program.

Below is the implementation:

# Give the number as user input using the int(input()) function and store it in a variable.
numb = int(input('Enter some random number ='))
# Take an empty list and initialize it's with an empty list using list() and [].
nwlist = []
# Loop from 2 to the given number using the For loop.
for m in range(2, numb+1):
# Check if the iterator value divides the given number
# using the % operator and the If statement.
if(numb % m == 0):
# If It is true then append it to the list.
nwlist.append(m)
smalldivisor = nwlist[0]
# Print the first element of the list using the index 0.
print(
'The smallest prime divisor the number [', numb, '] is [', smalldivisor, ']')


Output:

Enter some random number =240
The smallest prime divisor the number [ 240 ] is [ 2 ]

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