{"id":10374,"date":"2021-09-30T11:00:23","date_gmt":"2021-09-30T05:30:23","guid":{"rendered":"https:\/\/python-programs.com\/?p=10374"},"modified":"2021-11-22T18:35:32","modified_gmt":"2021-11-22T13:05:32","slug":"python-program-to-find-the-smallest-divisor-of-an-integer","status":"publish","type":"post","link":"https:\/\/python-programs.com\/python-program-to-find-the-smallest-divisor-of-an-integer\/","title":{"rendered":"Python Program to Find the Smallest Divisor of an Integer"},"content":{"rendered":"<p>Our website provided core <a href=\"https:\/\/python-programs.com\/python-programming-examples-with-output\/\">java programs examples with output<\/a> aid beginners and expert coders to test their knowledge gap and learn accordingly.<\/p>\n<p>Given a number, the task is to find the smallest number which divides the given number in Python.<\/p>\n<p><strong>Examples:<\/strong><\/p>\n<p><strong>Example1:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>given number = 91<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The smallest which divides the given number [ 91 ] = 7<\/pre>\n<p><strong>Example2:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>given number = 169<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter some random number = 169\r\nThe smallest which divides the given number [ 169 ] = 13<\/pre>\n<h2>Program to Find the Smallest Divisor of an Integer in Python<\/h2>\n<p>There are several ways to find the smallest divisor of the given number in Python some of them are:<\/p>\n<ul>\n<li><a href=\"#Using_for_loop(Static_Input)\">Using for loop(Static Input)<\/a><\/li>\n<li><a href=\"#Using_for_loop(User_Input_)\">Using for loop(User Input )<\/a><\/li>\n<li><a href=\"#Using_While_Loop(Static_Input)\">Using While Loop(Static Input)<\/a><\/li>\n<li><a href=\"#Using_While_Loop(User_Input)\">Using While Loop(User Input)<\/a><\/li>\n<li><a href=\"#Using_List_Comprehension\">Using List Comprehension<\/a><\/li>\n<\/ul>\n<h3 id=\"Using_for_loop(Static_Input)\">Method #1:Using for loop(Static Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the number as static input and store it in a variable.<\/li>\n<li>Loop from 2 to given number using For loop.<\/li>\n<li>Check if the iterator value divides the given number perfectly using the if statement and modulus operator.<\/li>\n<li>Print the iterator value.<\/li>\n<li>Break the loop using the break statement.<\/li>\n<li>The Exit of the Program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Give the number as static input and store it in a variable.\r\ngvnNumb = 91\r\n# Loop from 2 to given number using For loop.\r\nfor itervalue in range(2, gvnNumb+1):\r\n    # Check if the iterator value divides the given number\r\n    # perfectly using the if statement and modulus operator.\r\n    if(gvnNumb % itervalue == 0):\r\n        # Print the iterator value.\r\n\r\n        print(\r\n            'The smallest which divides the given number [', gvnNumb, '] =', itervalue)\r\n        # Break the loop using the break statement.\r\n        break\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The smallest which divides the given number [ 91 ] = 7<\/pre>\n<h3 id=\"Using_for_loop(User_Input_)\">Method #2: Using for loop(User Input )<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the number as user input using the <strong>int(input())<\/strong> function that converts the string to an integer.<\/li>\n<li>Store it in a variable.<\/li>\n<li>Loop from 2 to given number using For loop.<\/li>\n<li>Check if the iterator value divides the given number perfectly using the if statement and modulus operator.<\/li>\n<li>Print the iterator value.<\/li>\n<li>Break the loop using the break statement.<\/li>\n<li>The Exit of the Program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Give the number as user input using the int(input()) function that converts\r\n# the string to an integer.\r\n# Store it in a variable.\r\ngvnNumb = int(input('Enter some random number = '))\r\n# Loop from 2 to given number using For loop.\r\nfor itervalue in range(2, gvnNumb+1):\r\n    # Check if the iterator value divides the given number\r\n    # perfectly using the if statement and modulus operator.\r\n    if(gvnNumb % itervalue == 0):\r\n        # Print the iterator value.\r\n\r\n        print(\r\n            'The smallest which divides the given number [', gvnNumb, '] =', itervalue)\r\n        # Break the loop using the break statement.\r\n        break\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter some random number = 369\r\nThe smallest which divides the given number [ 369 ] = 3<\/pre>\n<p><strong>Explanation:<\/strong><\/p>\n<ul>\n<li>The user must enter a number.<\/li>\n<li>The for loop has a range of 2 to the number<\/li>\n<li>If the remainder of the number is zero when divided by the value of i the element is a divisor of the number.<\/li>\n<li>Print the number and break the loop.<\/li>\n<\/ul>\n<h3 id=\"Using_While_Loop(Static_Input)\">Method #3:Using While Loop(Static Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the number as static input and store it in a variable.<\/li>\n<li>Take a temporary variable and initialize it with 2.<\/li>\n<li>Loop till the temporary variable is less than or equal to the given number using the while loop.<\/li>\n<li>Check if the temporary variable divides the given number perfectly using the if statement and modulus operator.<\/li>\n<li>Print the temporary variable.<\/li>\n<li>Break the loop using the break statement.<\/li>\n<li>Increase the value of the temporary variable by 1.<\/li>\n<li>The Exit of the Program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Give the number as static input and store it in a variable.\r\ngvnNumb = 125\r\n# Take a temporary variable and initialize it with 2.\r\ntempnumber = 2\r\n# Loop till the temporary variable is less than\r\n# or equal to the given number using the while loop.\r\nwhile(tempnumber &lt;= gvnNumb):\r\n    # Check if the temporary variable divides the given number perfectly\r\n    # using the if statement and modulus operator.\r\n    if(gvnNumb % tempnumber == 0):\r\n        # Print the iterator value.\r\n        print(\r\n            'The smallest which divides the given number [', gvnNumb, '] =', tempnumber)\r\n        # Break the loop using the break statement.\r\n        break\r\n # Increase the value of the temporary variable by 1.\r\n    tempnumber = tempnumber+1\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The smallest which divides the given number [ 125 ] = 5<\/pre>\n<h3 id=\"Using_While_Loop(User_Input)\">Method #4:Using While Loop(User Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the number as user input using the int(input()) function that converts the string to an integer.<\/li>\n<li>Store it in a variable.<\/li>\n<li>Take a temporary variable and initialize it with 2.<\/li>\n<li>Loop till the temporary variable is less than or equal to the given number using the while loop.<\/li>\n<li>Check if the temporary variable divides the given number perfectly using the if statement and modulus operator.<\/li>\n<li>Print the temporary variable.<\/li>\n<li>Break the loop using the break statement.<\/li>\n<li>Increase the value of the temporary variable by 1.<\/li>\n<li>The Exit of the Program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Give the number as user input using the int(input()) function that converts\r\n# the string to an integer.\r\n# Store it in a variable.\r\ngvnNumb = int(input('Enter some random number = '))\r\n# Take a temporary variable and initialize it with 2.\r\ntempnumber = 2\r\n# Loop till the temporary variable is less than\r\n# or equal to the given number using the while loop.\r\nwhile(tempnumber &lt;= gvnNumb):\r\n    # Check if the temporary variable divides the given number perfectly\r\n    # using the if statement and modulus operator.\r\n    if(gvnNumb % tempnumber == 0):\r\n        # Print the iterator value.\r\n        print(\r\n            'The smallest which divides the given number [', gvnNumb, '] =', tempnumber)\r\n        # Break the loop using the break statement.\r\n        break\r\n # Increase the value of the temporary variable by 1.\r\n    tempnumber = tempnumber+1\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter some random number = 578\r\nThe smallest which divides the given number [ 578 ] = 2<\/pre>\n<h3 id=\"Using_List_Comprehension\">Method #5:Using List Comprehension<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the number as user input using the int(input()) function that converts the string to an integer.<\/li>\n<li>Store it in a variable.<\/li>\n<li>Using List Comprehension, for loop and if statements add all the divisors of the given number from 2 to given number into the list.<\/li>\n<li>Print the first element in the given list.<\/li>\n<li>The Exit of the Program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Give the number as user input using the int(input()) function that converts\r\n# the string to an integer.\r\n# Store it in a variable.\r\ngvnNumb = int(input('Enter some random number = '))\r\n# Using List Comprehension, for loop and if statements add\r\n# all the divisors of the given number\r\n# from 2 to given number into the list.\r\ndivList = [numbe for numbe in range(2, gvnNumb+1) if(gvnNumb % numbe == 0)]\r\nsmalldivi = divList[0]\r\n# Print the first element in the given list.\r\nprint('The smallest which divides the given number [', gvnNumb, '] =', smalldivi)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter some random number = 169\r\nThe smallest which divides the given number [ 169 ] = 13<\/pre>\n<p><strong>Related Programs<\/strong>:<\/p>\n<ul>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-form-an-integer-that-has-the-number-of-digits-at-tens-place-and-the-least-significant-digit-of-the-entered-integer-at-ones-place\/\">Python Program to Form an Integer that has the Number of Digits at Ten\u2019s Place and the Least Significant Digit of the Entered Integer at One\u2019s Place<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-the-factorial-of-a-number\/\">Python Program to Find the Factorial of a Number<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-the-sum-of-natural-numbers\/\">Python Program to Find the Sum of Natural Numbers<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-the-factors-of-a-number\/\">Python Program to Find the Factors of a Number<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-the-lcm-of-two-numbers\/\">Python Program to Find the LCM of two Numbers<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-the-missing-number-in-an-array-list\/\">Python Program to Find the Missing Number in an array\/list<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-the-odd-occurring-element-in-an-array-list\/\">Python Program to Find the Odd Occurring Element in an Array\/list<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Our website provided core java programs examples with output aid beginners and expert coders to test their knowledge gap and learn accordingly. Given a number, the task is to find the smallest number which divides the given number in Python. Examples: Example1: Input: given number = 91 Output: The smallest which divides the given number &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/python-programs.com\/python-program-to-find-the-smallest-divisor-of-an-integer\/\"> <span class=\"screen-reader-text\">Python Program to Find the Smallest Divisor of an Integer<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":7,"featured_media":10381,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":"","jetpack_publicize_message":"","jetpack_is_tweetstorm":false,"jetpack_publicize_feature_enabled":true},"categories":[5],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v18.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Python Program to Find the Smallest Divisor of an Integer - Python Programs<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/python-programs.com\/python-program-to-find-the-smallest-divisor-of-an-integer\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python Program to Find the Smallest Divisor of an Integer - Python Programs\" \/>\n<meta property=\"og:description\" content=\"Our website provided core java programs examples with output aid beginners and expert coders to test their knowledge gap and learn accordingly. 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Given a number, the task is to find the smallest number which divides the given number in Python. 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