{"id":7151,"date":"2021-09-30T10:30:46","date_gmt":"2021-09-30T05:00:46","guid":{"rendered":"https:\/\/python-programs.com\/?p=7151"},"modified":"2021-11-22T18:35:33","modified_gmt":"2021-11-22T13:05:33","slug":"python-program-to-find-the-factors-of-a-number","status":"publish","type":"post","link":"https:\/\/python-programs.com\/python-program-to-find-the-factors-of-a-number\/","title":{"rendered":"Python Program to Find the Factors of a Number | C++ Program to Find Factors"},"content":{"rendered":"<p>Beginners and experienced programmers can rely on these <a href=\"https:\/\/python-programs.com\/python-programming-examples-with-output\/\">Best Java Programs Examples<\/a> and code various basic and complex logics in the Java programming language with ease.<\/p>\n<p><strong>Factors of a number:<\/strong><\/p>\n<p>When two whole numbers are multiplied, the result is a product. The factors of the product are the numbers we multiply.<\/p>\n<p>In mathematics, a factor is a number or algebraic expression that equally divides another number or expression, leaving no remainder.<\/p>\n<p>The prime number is defined as a number that has only two factors\u00a0one and itself. Composite numbers are those that contain more than two variables.<\/p>\n<p>Given a number the task is to print the factors of the given number.<\/p>\n<p><strong>Examples:<\/strong><\/p>\n<p><strong>Example1:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>given_number=360<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">printing the factors of given number\r\n1\r\n2\r\n3\r\n4\r\n5\r\n6\r\n8\r\n9\r\n10\r\n12\r\n15\r\n18\r\n20\r\n24\r\n30\r\n36\r\n40\r\n45\r\n60\r\n72\r\n90\r\n120\r\n180\r\n360<\/pre>\n<p><strong>Example2:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>given_number=10<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">printing the factors of given number\r\n1\r\n2\r\n5\r\n10<\/pre>\n<h2>Program to Find the Factors of a Number<\/h2>\n<p>Below are the ways to find the factors of a number:<\/p>\n<ul>\n<li><a href=\"#Using_for_loop_to_loop_from_1_to_N_in_Python\">Using for loop to loop from 1 to N in Python<\/a><\/li>\n<li><a href=\"#Using_for_loop_to_loop_from_1_to_N_in_C++\">Using for loop to loop from 1 to N in C++<\/a><\/li>\n<li><a href=\"#Limitations_of_running_loop_from_1_to_N\">Limitations of running loop from 1 to N<\/a><\/li>\n<li><a href=\"#Using_while_loop_to_loop_from_1_to_SQRT(N)_in_Python\">Using while loop to loop from 1 to SQRT(N) in Python<\/a><\/li>\n<\/ul>\n<p>Explore more instances related to python concepts from\u00a0<a href=\"https:\/\/python-programs.com\/python-programming-examples-with-output\/\">Python Programming Examples<\/a>\u00a0Guide and get promoted from beginner to professional programmer level in Python Programming Language.<\/p>\n<h3 id=\"Using_for_loop_to_loop_from_1_to_N_in_Python\">1)Using for loop to loop from 1 to N in Python<\/h3>\n<p><strong>Algorithm:<\/strong><\/p>\n<p>Divide a positive number &#8220;N&#8221; by the natural numbers 1 to &#8220;N&#8221; to find the factor. If a number is divisible by a natural number, the factor is the natural number. A number N can only have factors in the range of 1 to N.<\/p>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Assume the input is a number N.<\/li>\n<li>Create an iterator variable and set its value to 1.<\/li>\n<li>Using an iterator variable to divide the number N<\/li>\n<li>It is a factor of the given number N if it is divisible.<\/li>\n<li>The iterator variable should be increased.<\/li>\n<li>Rep steps 4 and 5 until the iterator variable reaches the value N.<\/li>\n<\/ul>\n<p>This is the simplest and most straightforward way to find variables in a Python number programme. While declaring the variables, we&#8217;ll take a number. Python software that uses a for-loop to find factors of a number and print\u00a0the factors\u00a0on the screen.<\/p>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># given number\r\nnumber = 360\r\n# printing the factors of given number\r\nprint(\"printing the factors of given number : \")\r\n# using for loop\r\nfor i in range(1, number+1):\r\n    # checking if iterator divides the number if so then print it(because it is factor)\r\n    if(number % i == 0):\r\n        print(i)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">printing the factors of given number : \r\n1\r\n2\r\n3\r\n4\r\n5\r\n6\r\n8\r\n9\r\n10\r\n12\r\n15\r\n18\r\n20\r\n24\r\n30\r\n36\r\n40\r\n45\r\n60\r\n72\r\n90\r\n120\r\n180\r\n360<\/pre>\n<h3 id=\"Using_for_loop_to_loop_from_1_to_N_in_C++\">2)Using for loop to loop from 1 to N in C++<\/h3>\n<p>It is similar to method 1 except the syntax. Let us see how to find factors\u00a0 using for loop in c++<\/p>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\">#include &lt;iostream&gt;\r\nusing namespace std;\r\nint main()\r\n{ \/\/ given number\r\n    int number = 360;\r\n    \/\/ printing the factors\r\n    cout &lt;&lt; \"printing the factors of given number :\"\r\n         &lt;&lt; endl;\r\n    \/\/ using for loop to loop from 1 to N\r\n    for (int i = 1; i &lt;= number; i++)\r\n        \/\/ checking if iterator divides the number if so\r\n        \/\/ then print it(because it is factor)\r\n        if (number % i == 0)\r\n            cout &lt;&lt; i &lt;&lt; endl;\r\n    return 0;\r\n}<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">printing the factors of given number :\r\n1\r\n2\r\n3\r\n4\r\n5\r\n6\r\n8\r\n9\r\n10\r\n12\r\n15\r\n18\r\n20\r\n24\r\n30\r\n36\r\n40\r\n45\r\n60\r\n72\r\n90\r\n120\r\n180\r\n360<\/pre>\n<p>We can see that the outputs of both the programs are same<\/p>\n<h3 id=\"Limitations_of_running_loop_from_1_to_N\">3)Limitations of running loop from 1 to N<\/h3>\n<p>In these two methods the loop runs from 1 to number N.<\/p>\n<p>Hence we can say that the time complexity of above methods are O(n).<\/p>\n<p>What if the number is very large?<\/p>\n<p>Like 10^18 the above methods takes nearly 31 years to execute.<\/p>\n<p>Then How to avoid this?<\/p>\n<p>We can see that the factors of the numbers exist from 1 to N\/2 except number itself.<\/p>\n<p>But this also takes nearly 15 yrs to execute.<\/p>\n<p>So to above this we loop till square root of N in next method which gives Time Complexity O(Sqrt(n)).<\/p>\n<h3 id=\"Using_while_loop_to_loop_from_1_to_SQRT(N)_in_Python\">4)Using while loop to loop from 1 to SQRT(N) in Python<\/h3>\n<p>Many of the divisors are present in pairs if we look closely. For eg, if n = 16, the divisors are (1,16), (2,8), and (3,8), (4,4)<br \/>\nWe could significantly speed up our program if we took advantage of this fact.<br \/>\nHowever, if there are two equal divisors, as in the case of, we must be cautious (4, 4). In that case, we&#8217;d just print one of them.<\/p>\n<p>We use while loop to loop from 1 to sqrt(number)<\/p>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># importing math module\r\nimport math\r\n# given number\r\nnumber = 360\r\n# taking a iterator and initlaizing it with 1\r\ni = 1\r\nprint(\"printing the factors of given number : \")\r\n# looping till sqrt(number) using while\r\nwhile i &lt;= math.sqrt(number):\r\n\r\n    if (number % i == 0):\r\n\r\n        # If both thee divisors are equal then print only one divisor\r\n        if (number \/ i == i):\r\n            print(i)\r\n        else:\r\n            # else print both the divisors\r\n            print(i)\r\n            print(number\/\/i)\r\n   # increment the iterator by 1\r\n    i += 1\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">printing the factors of given number : \r\n1\r\n360\r\n2\r\n180\r\n3\r\n120\r\n4\r\n90\r\n5\r\n72\r\n6\r\n60\r\n8\r\n45\r\n9\r\n40\r\n10\r\n36\r\n12\r\n30\r\n15\r\n24\r\n18\r\n20<\/pre>\n<p><strong>Related Programs<\/strong>:<\/p>\n<ul>\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-all-numbers-in-a-range-which-are-perfect-squares-and-sum-of-all-digits-in-the-number-is-less-than-10\/\">python program to find all numbers in a range which are perfect squares and sum of all digits in the number is less than 10<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-the-power-of-a-number-using-recursion\/\">python program to find the power of a number using recursion<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-compute-the-power-of-a-number\/\">python program to compute the power of a number<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-count-the-number-of-digits-present-in-a-number\/\">python program to count the number of digits present in a number<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-whether-a-number-is-a-power-of-two\/\">python program to find whether a number is a power of two<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/program-to-clear-the-rightmost-set-bit-of-a-number-in-cpp-and-python\/\">program to clear the rightmost set bit of a number in cpp and python<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Beginners and experienced programmers can rely on these Best Java Programs Examples and code various basic and complex logics in the Java programming language with ease. Factors of a number: When two whole numbers are multiplied, the result is a product. The factors of the product are the numbers we multiply. In mathematics, a factor &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/python-programs.com\/python-program-to-find-the-factors-of-a-number\/\"> <span class=\"screen-reader-text\">Python Program to Find the Factors of a Number | C++ Program to Find Factors<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":7,"featured_media":7170,"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":[19,5],"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 Factors of a Number | C++ Program to Find Factors - 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-factors-of-a-number\/\" \/>\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 Factors of a Number | C++ Program to Find Factors - Python Programs\" \/>\n<meta property=\"og:description\" content=\"Beginners and experienced programmers can rely on these Best Java Programs Examples and code various basic and complex logics in the Java programming language with ease. 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Factors of a number: When two whole numbers are multiplied, the result is a product. The factors of the product are the numbers we multiply. 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