{"id":9264,"date":"2021-09-30T11:00:03","date_gmt":"2021-09-30T05:30:03","guid":{"rendered":"https:\/\/python-programs.com\/?p=9264"},"modified":"2021-11-22T18:35:32","modified_gmt":"2021-11-22T13:05:32","slug":"python-program-to-compute-prime-factors-of-an-integer","status":"publish","type":"post","link":"https:\/\/python-programs.com\/python-program-to-compute-prime-factors-of-an-integer\/","title":{"rendered":"Python Program to Compute Prime Factors of an Integer"},"content":{"rendered":"<p>Grab the opportunity to learn all effective java programming language concepts from basic to advance levels by practicing these <a href=\"https:\/\/python-programs.com\/python-programming-examples-with-output\/\">Java Program Examples with Output<\/a><\/p>\n<p>In this post, we&#8217;ll look at a Python program that prints out all the prime factors of a given number. A number is considered to be a prime factor of another number if it is a prime number and perfectly divides the given number. In this section, we will look at what a prime factor is, how to discover a prime factor, and the python program.<\/p>\n<p>A number&#8217;s prime factors are the prime numbers that, when multiplied together, give the number. Two conditions can be used to determine a number&#8217;s prime factor:<\/p>\n<p>The digit should be a prime number.<\/p>\n<p>The number should perfectly divide the number.<\/p>\n<p><strong>Examples:<\/strong><\/p>\n<p><strong>Example1:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>given number =240<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The prime factors of the given number are : \r\n2\r\n3\r\n5<\/pre>\n<p><strong>Example2:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>given number =33<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter some random number = 33\r\nThe prime factors of the given number are : \r\n3\r\n11<\/pre>\n<h2>Program to Compute Prime Factors of an Integer in Python<\/h2>\n<p>There are several ways to compute prime factors of an integer in python some of them are:<\/p>\n<ul>\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=\"#Efficient_Method_(User_input)\">Efficient Method (User input)<\/a><\/li>\n<\/ul>\n<h3 id=\"Using_while_loop_(Static_Input)\">Method #1: Using while loop (Static Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the integer value as static input.<\/li>\n<li>Using a while loop, first determine the number&#8217;s components.<\/li>\n<li>Calculate whether the factors are prime or not using another while loop within the previous one.<\/li>\n<li>Exit of program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># given number\r\nnumb = 240\r\n# Printing the prime factors\r\nprint(\"The prime factors of the given number are : \")\r\nvalue = 1\r\nwhile(value &lt;= numb):\r\n    k = 0\r\n    if(numb % value == 0):\r\n        j = 1\r\n        while(j &lt;= value):\r\n            if(value % j == 0):\r\n                k = k+1\r\n            j = j+1\r\n        if(k == 2):\r\n          # printing the prime factor\r\n            print(value)\r\n    # incremeent the value by 1\r\n    value = value+1\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The prime factors of the given number are : \r\n2\r\n3\r\n5<\/pre>\n<p><strong>Explanation:<\/strong><\/p>\n<ul>\n<li>Given the number as static input.<\/li>\n<li>The while loop is utilized, and the integer factors are obtained by using the modulus operator and determining whether the remainder of the number divided by value is zero.<\/li>\n<li>The integer&#8217;s factors are then checked again to see if they are prime.<\/li>\n<li>The factor of an integer is prime if it has two factors.<\/li>\n<li>The integer&#8217;s prime factor is printed.<\/li>\n<\/ul>\n<h3 id=\"Using_while_loop_(User_Input)\">Method #2: Using while loop (User Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Scan the number using int(input()) function.<\/li>\n<li>Using a while loop, first determine the number&#8217;s components.<\/li>\n<li>Calculate whether the factors are prime or not using another while loop within the previous one.<\/li>\n<li>Exit of program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Scan the number using int(input()) function.\r\nnumb = int(input(\"Enter some random number = \"))\r\n# Printing the prime factors\r\nprint(\"The prime factors of the given number are : \")\r\nvalue = 1\r\nwhile(value &lt;= numb):\r\n    k = 0\r\n    if(numb % value == 0):\r\n        j = 1\r\n        while(j &lt;= value):\r\n            if(value % j == 0):\r\n                k = k+1\r\n            j = j+1\r\n        if(k == 2):\r\n          # printing the prime factor\r\n            print(value)\r\n    # incremeent the value by 1\r\n    value = value+1\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter some random number = 220\r\nThe prime factors of the given number are : \r\n2\r\n5\r\n11<\/pre>\n<h3 id=\"Efficient_Method_(User_input)\">Method #3:Efficient Method (User input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Scan the given number using int(input()) function.<\/li>\n<li>We will print 2 and divide numb by 2 while it is divisible by 2.<\/li>\n<li>Following step 2, numb must always be odd.<\/li>\n<li>Begin a loop with I = 3 and work your way up to the square root of n. If I divide numb by I print I and divide numb by i. If we\u00a0 unable to divide numb , increase the I value by 2 and proceed.<\/li>\n<li>If numb is a prime number and higher than 2, it cannot be reduced to 1.<\/li>\n<li>So, if numb is larger than 2, print it.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\">import math\r\n# Scan the number using int(input()) function.\r\nnumb = int(input(\"Enter some random number = \"))\r\n# Printing the prime factors\r\nprint(\"The prime factors of the given number are : \")\r\nwhile numb % 2 == 0:\r\n      print(2),\r\n      numb = numb \/ 2\r\n\r\n   # n became odd\r\nfor i in range(3,int(math.sqrt(numb))+1,2):\r\n    while (numb % i == 0):\r\n        print (int(i))\r\n        numb = numb \/ i\r\n    \r\nif numb &gt; 2:\r\n    print (int(numb))\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter some random number = 33\r\nThe prime factors of the given number are : \r\n3\r\n11<\/pre>\n<p><strong>Related Programs<\/strong>:<\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-if-a-number-is-prime-or-not-prime-using-recursion\/\">Python Program to Find if a Number is Prime or Not Prime Using Recursion<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-read-print-prime-numbers-in-a-range-using-sieve-of-eratosthenes\/\">Python Program to Read Print Prime Numbers in a Range using Sieve of Eratosthenes<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-print-all-the-prime-numbers-within-a-given-range\/\">Python Program to Print all the Prime Numbers within a Given Range<\/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-those-numbers-which-are-divisible-by-7-and-multiple-of-5-in-a-given-range-of-numbers\/\">Python Program to Find Those Numbers which are Divisible by 7 and Multiple of 5 in a Given Range of Numbers<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Grab the opportunity to learn all effective java programming language concepts from basic to advance levels by practicing these Java Program Examples with Output In this post, we&#8217;ll look at a Python program that prints out all the prime factors of a given number. A number is considered to be a prime factor of another &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/python-programs.com\/python-program-to-compute-prime-factors-of-an-integer\/\"> <span class=\"screen-reader-text\">Python Program to Compute Prime Factors of an Integer<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":7,"featured_media":9268,"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 Compute Prime Factors 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-compute-prime-factors-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 Compute Prime Factors of an Integer - Python Programs\" \/>\n<meta property=\"og:description\" content=\"Grab the opportunity to learn all effective java programming language concepts from basic to advance levels by practicing these Java Program Examples with Output In this post, we&#8217;ll look at a Python program that prints out all the prime factors of a given number. 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