{"id":156278,"date":"2022-03-26T01:34:46","date_gmt":"2022-03-25T20:04:46","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/prime-and-composite-numbers-even-and-odd-numbers\/"},"modified":"2024-11-21T18:21:33","modified_gmt":"2024-11-21T12:51:33","slug":"prime-and-composite-numbers-even-and-odd-numbers","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/even-odd-prime-composite-numbers\/","title":{"rendered":"Prime and Composite Numbers | Even and Odd Numbers"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/even-odd-prime-composite-numbers\/#Even_Numbers\" title=\"Even Numbers\">Even Numbers<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/even-odd-prime-composite-numbers\/#Odd_Numbers\" title=\"Odd Numbers\">Odd Numbers<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/even-odd-prime-composite-numbers\/#Prime_Numbers\" title=\"Prime Numbers\">Prime Numbers<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/even-odd-prime-composite-numbers\/#Composite_Numbers\" title=\"Composite Numbers\">Composite Numbers<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/even-odd-prime-composite-numbers\/#Adding_and_Subtracting\" title=\"Adding and Subtracting:\">Adding and Subtracting:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/even-odd-prime-composite-numbers\/#Multiplying\" title=\"Multiplying:\">Multiplying:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/even-odd-prime-composite-numbers\/#Test_Your_Skills_with_the_Divisibility_Test_with_the_Following_Examples\" title=\"Test Your Skills with the Divisibility Test with the Following Examples:\">Test Your Skills with the Divisibility Test with the Following Examples:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/even-odd-prime-composite-numbers\/#How_to_Find_a_Number_that_is_Prime_or_Composite\" title=\"How to Find a Number that is Prime or Composite?\">How to Find a Number that is Prime or Composite?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/even-odd-prime-composite-numbers\/#Applications_of_Prime_and_Composite_Numbers\" title=\"Applications of Prime and Composite Numbers:\">Applications of Prime and Composite Numbers:<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Even_Numbers\"><\/span>Even Numbers<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>An even number is an integer that is divisible by 2. The following are all even numbers: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-156277 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/prime-and-composite-numbers-even-and-odd-numbers.jpg\" alt=\"\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/prime-and-composite-numbers-even-and-odd-numbers.jpg?v=1648238683 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/prime-and-composite-numbers-even-and-odd-numbers-300x212.jpg?v=1648238683 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Odd_Numbers\"><\/span>Odd Numbers<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>An odd number is a number that is not evenly divisible by two. This means that the number cannot be divided by two without leaving a remainder. The number one is the only exception to this rule, as it is evenly divisible by two.<\/p>\n<p>Some of the most common odd numbers include 3, 5, 7, and 9. These numbers are all prime numbers, meaning that they can only be divided by themselves and one.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Prime_Numbers\"><\/span>Prime Numbers<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Prime numbers are numbers that are only divisible by themselves and one. They are the building blocks of all numbers and can be thought of as the foundation of mathematics. Prime numbers are generally considered to be the most fundamental and important numbers in mathematics.<\/p>\n<p>In mathematics, prime numbers are used to divide, factor, and simplify equations. They are also used to create algorithms and to solve complex problems. Prime numbers are essential to cryptography and data security. They are used to generate strong and secure keys for encryption, which is the process of scrambling data so it can\u2019t be accessed without a key.<\/p>\n<p>2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Composite_Numbers\"><\/span>Composite Numbers<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A composite number is a number that can be divided evenly by two or more numbers other than 1 and itself. For example, the number 12 can be divided evenly by 2, 3, 4, and 6. The number 15 can be divided evenly by 3 and 5. The number 21 can be divided evenly by 3, 7, and 11.<\/p>\n<p>The number 1 is not a composite number because it can only be divided evenly by 1 and itself. The number 2 is not a composite number because it can only be divided evenly by 1 and itself. The number 4 is not a composite number because it can only be divided evenly by 1 and itself. However, the number 3 is a composite number because it can be divided evenly by 2 and 1.<\/p>\n<p>The number 9 is the smallest composite number because it can be divided evenly by 2, 3, and 9. The number 30 is the largest composite number because it can be divided evenly by 2, 3, 5, 10, and 15.<\/p>\n<p>Composite numbers are important in mathematics because they are used to calculate the greatest common factor (GCF) and the least common multiple (LCM) of two or more numbers. The GCF of two or more numbers is the largest number that can be divided evenly by all of the numbers. The LCM of two or more numbers is the smallest number that can be divided evenly by all of the numbers.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Adding_and_Subtracting\"><\/span>Adding and Subtracting:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To add or subtract fractions, first find the LCD or Least Common Denominator. This is the smallest number that both fractions can be divided by without a remainder.<\/p>\n<p>Then, multiply (or divide) the numerators and denominators of both fractions by the LCD.<\/p>\n<p>Finally, add (or subtract) the numerators, and keep the denominator the same.<\/p>\n<p>Here is an example:<\/p>\n<p>To add 1\/4 and 2\/9, find the LCD, which is 36.<\/p>\n<p>Then, multiply the numerators and denominators of both fractions by 36.<\/p>\n<p>Finally, add the numerators, 1 + 2 = 3, and keep the denominator the same, 36.<\/p>\n<p>So, the answer is 3\/36.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Multiplying\"><\/span>Multiplying:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>We multiply by 10 because we want to move the decimal point two places to the right.<\/p>\n<p>So, 10.23 becomes 102.3<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Test_Your_Skills_with_the_Divisibility_Test_with_the_Following_Examples\"><\/span>Test Your Skills with the Divisibility Test with the Following Examples:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>1. Determine if 9 is divisible by 3.<\/p>\n<p>9 is divisible by 3 because the remainder when 9 is divided by 3 is 0.<\/p>\n<p>2. Determine if 9 is divisible by 2.<\/p>\n<p>9 is not divisible by 2 because the remainder when 9 is divided by 2 is 1.<\/p>\n<p>3. Determine if 12 is divisible by 4.<\/p>\n<p>12 is divisible by 4 because the remainder when 12 is divided by 4 is 0.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"How_to_Find_a_Number_that_is_Prime_or_Composite\"><\/span>How to Find a Number that is Prime or Composite?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To find a number that is prime, use a factorization chart to find all the prime numbers that multiply together to create the number in question. Then, cross out any composite numbers that are factors of the number. The number that is left is the prime number.<\/p>\n<p>To find a number that is composite, use a factorization chart to find all the prime numbers that multiply together to create the number in question. Then, cross out any prime numbers that are factors of the number. The number that is left is the composite number.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Applications_of_Prime_and_Composite_Numbers\"><\/span>Applications of Prime and Composite Numbers:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>&#8211; Prime numbers can be used in cryptography, especially in the generation of random numbers.<\/p>\n<p>&#8211; A composite number is the result of multiplying two prime numbers together. They are used in many number theoretic problems and investigations.<\/p>\n<p>For more visit Co Prime Numbers &amp;#8211; Definition, Properties and Solved Examples<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Even Numbers An even number is an integer that is divisible by 2. The following are all even numbers: 2, [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Prime and Composite Numbers | Even and Odd Numbers","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Natural numbers \u2013 or the count numbers are in all probability the primary style of numbers you'll have bump into since you have learned to count. Depending on the divisible property all the natural numbers can be broadly classified into four types. These are Even Numbers, Odd Numbers, Prime Numbers, Composite Numbers. 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