{"id":837137,"date":"2024-07-18T15:57:39","date_gmt":"2024-07-18T10:27:39","guid":{"rendered":"https:\/\/leverageedu.com\/discover\/?p=837137"},"modified":"2024-07-18T15:57:39","modified_gmt":"2024-07-18T10:27:39","slug":"exam-prep-prime-numbers","status":"publish","type":"post","link":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-prime-numbers\/","title":{"rendered":"Basics of Prime Numbers: Definition, Chart, Properties, and Solved Examples"},"content":{"rendered":"\n<p>Prime numbers, fundamental to number theory, are the building blocks of the number system. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. For example, 2, 3, 5, and 7 are all prime numbers. This unique property makes them integral to various mathematical concepts and applications. Understanding prime numbers involves exploring their properties, such as their indivisibility and the fact that every number greater than 1 is either a prime or can be factored into primes. This guide delves into the basics of prime numbers, presenting a chart of primes, discussing their important properties, and providing solved examples to illustrate their practical applications.<\/p>\n\n\n\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-definition-of-prime-numbers\">Definition of Prime Numbers?<\/h2>\n\n\n\n<p>A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. In other words, a prime number cannot be formed by multiplying two smaller natural numbers. For example, 2, 3, 5, and 7 are prime numbers because they can only be divided evenly by 1 and themselves. Conversely, numbers like 4, 6, and 8 are not prime because they can be divided evenly by numbers other than 1 and themselves (e.g., 4 can be divided by 2, 6 by 2 and 3, and 8 by 2 and 4).<\/p>\n\n\n\n<p><strong>Properties of Prime Numbers:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Indivisibility<\/strong>: A prime number is only divisible by 1 and itself. For example, 7 can only be divided by 1 and 7 without leaving a remainder.<\/li>\n\n\n\n<li><strong>Uniqueness<\/strong>: Every natural number greater than 1 is either a prime number or can be factored uniquely into prime numbers. This is known as the Fundamental Theorem of Arithmetic.<\/li>\n\n\n\n<li><strong>First Prime Number<\/strong>: The smallest prime number is 2. It is also the only even prime number because any other even number can be divided by 2, making it not prime.<\/li>\n\n\n\n<li><strong>Distribution<\/strong>: Prime numbers become less frequent as numbers get larger, but there are infinitely many prime numbers.<\/li>\n\n\n\n<li><strong>Primality Testing<\/strong>: Determining whether a large number is prime is more complex and requires special algorithms, such as the Sieve of Eratosthenes or probabilistic tests for very large numbers.<\/li>\n\n\n\n<li><strong>Prime Gaps<\/strong>: The difference between consecutive prime numbers is called a prime gap. As numbers increase, these gaps can become larger, but they can also be as small as 2, known as twin primes (e.g., 11 and 13).<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-electric-grass-gradient-background has-background has-medium-font-size\"><strong>Also Read: <\/strong><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/basic-concepts-formula-of-profit-and-loss\/\"><strong>Formula of Profit and Loss: Percentages, Cost and Selling Price, Examples<\/strong><\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-chart-of-prime-numbers\">Chart of Prime Numbers<\/h2>\n\n\n\n<p>Here is a chart listing the first 50 prime numbers:<\/p>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table><tbody><tr><td>2<\/td><td>3<\/td><td>5<\/td><td>7<\/td><td>11<\/td><td>13<\/td><td>17<\/td><td>19<\/td><td>23<\/td><td>29<\/td><\/tr><tr><td>31<\/td><td>37<\/td><td>41<\/td><td>43<\/td><td>47<\/td><td>53<\/td><td>59<\/td><td>61<\/td><td>67<\/td><td>71<\/td><\/tr><tr><td>73<\/td><td>79<\/td><td>83<\/td><td>89<\/td><td>97<\/td><td>101<\/td><td>103<\/td><td>107<\/td><td>109<\/td><td>113<\/td><\/tr><tr><td>127<\/td><td>131<\/td><td>137<\/td><td>139<\/td><td>149<\/td><td>151<\/td><td>157<\/td><td>163<\/td><td>167<\/td><td>173<\/td><\/tr><tr><td>179<\/td><td>181<\/td><td>191<\/td><td>193<\/td><td>197<\/td><td>199<\/td><td>211<\/td><td>223<\/td><td>227<\/td><td>229<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-properties-of-prime-numbers-with-formulas\">Properties of Prime Numbers with Formulas<\/h2>\n\n\n\n<p>Prime numbers have several important properties, each often accompanied by specific formulas or characteristics. Here are some key properties along with relevant formulas:<\/p>\n\n\n\n<p><strong>Divisibility<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A prime number ppp is only divisible by 1 and ppp itself.<\/li>\n\n\n\n<li>For example, 7 is a prime number because its only divisors are 1 and 7.<\/li>\n<\/ul>\n\n\n\n<p><strong>Uniqueness in Factorization<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Every integer greater than 1 is either a prime or can be uniquely expressed as a product of prime numbers (this is known as the Fundamental Theorem of Arithmetic).<\/li>\n\n\n\n<li>For example, 30 can be factored into prime numbers as 2\u00d73\u00d75.<\/li>\n<\/ul>\n\n\n\n<p><strong>Smallest Prime Number<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The smallest and only even prime number is 2.<\/li>\n\n\n\n<li>All other even numbers are not prime because they can be divided by 2.<\/li>\n<\/ul>\n\n\n\n<p><strong>Prime Gaps<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The difference between consecutive prime numbers varies and can sometimes be large.<\/li>\n\n\n\n<li>For example, the gap between 3 and 5 is 2, but the gap between 23 and 29 is 6.<\/li>\n<\/ul>\n\n\n\n<p><strong>Twin Primes<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Twin primes are pairs of prime numbers that have a difference of 2.<\/li>\n\n\n\n<li>Examples include (11, 13) and (17, 19).<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-properties-of-prime-numbers-with-solved-examples\">Properties of Prime Numbers with Solved Examples<\/h2>\n\n\n\n<p>Here are five solved examples involving prime numbers.<\/p>\n\n\n\n<p><strong>Q1:<\/strong> Determine if 29 is a prime number.<\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>A prime number has no divisors other than 1 and itself.<\/li>\n\n\n\n<li>Check divisibility by all integers from 2 to 29.<\/li>\n\n\n\n<li>29 is not divisible by 2, 3, or 5.<\/li>\n<\/ol>\n\n\n\n<p>Since 29 is not divisible by any number other than 1 and 29, it is a prime number.<\/p>\n\n\n\n<p><strong>Q2:<\/strong> Find the prime factorization of 60.<\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Divide 60 by the smallest prime number (2): 60\u00f72=30.<\/li>\n\n\n\n<li>Divide 30 by 2: 30\u00f72=15.<\/li>\n\n\n\n<li>Divide 15 by the next smallest prime number (3): 15\u00f73=5<\/li>\n\n\n\n<li>5 is a prime number.<\/li>\n<\/ol>\n\n\n\n<p>The prime factorization of 60 is 2&#215;2\u00d73\u00d75.<\/p>\n\n\n\n<p><strong>Q3:<\/strong> List all prime numbers between 10 and 20.<\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Check each number from 11 to 19 for primality:\n<ul class=\"wp-block-list\">\n<li>11: Prime (divisors 1 and 11)<\/li>\n\n\n\n<li>12: Not prime (divisors 1, 2, 3, 4, 6, 12)<\/li>\n\n\n\n<li>13: Prime (divisors 1 and 13)<\/li>\n\n\n\n<li>14: Not prime (divisors 1, 2, 7, 14)<\/li>\n\n\n\n<li>15: Not prime (divisors 1, 3, 5, 15)<\/li>\n\n\n\n<li>16: Not prime (divisors 1, 2, 4, 8, 16)<\/li>\n\n\n\n<li>17: Prime (divisors 1 and 17)<\/li>\n\n\n\n<li>18: Not prime (divisors 1, 2, 3, 6, 9, 18)<\/li>\n\n\n\n<li>19: Prime (divisors 1 and 19)<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p>The prime numbers between 10 and 20 are 11, 13, 17, and 19.<\/p>\n\n\n\n<p><strong>Q4:<\/strong> Find the sum of the first 5 prime numbers.<\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>The first 5 prime numbers are 2, 3, 5, 7, and 11.<\/li>\n\n\n\n<li>Sum = 2+3+5+7+11=28.<\/li>\n<\/ol>\n\n\n\n<p>The sum of the first 5 prime numbers is 28.<\/p>\n\n\n\n<p><strong>Q5:<\/strong> Determine if 77 is the product of two prime numbers.<\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Check for factors of 77:\n<ul class=\"wp-block-list\">\n<li>77 is not divisible by 2, 3, or 5.<\/li>\n\n\n\n<li>77 is divisible by 7: 77\u00f77=11<\/li>\n\n\n\n<li>Both 7 and 11 are prime numbers.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p>77 is the product of the prime numbers 7 and 11.<\/p>\n\n\n\n<p class=\"has-text-align-center has-electric-grass-gradient-background has-background has-medium-font-size\"><strong>Also Read: <\/strong><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/basic-concepts-find-the-area-of-the-shaded-region\/\"><strong>Find the Area of the Shaded Region: Square, Rectangle, Circle and Triangle&nbsp;<\/strong><\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-faqs\">FAQs<\/h2>\n\n\n\n<div class=\"schema-faq wp-block-yoast-faq-block\"><div class=\"schema-faq-section\" id=\"faq-question-1721293621798\"><strong class=\"schema-faq-question\"><strong>What makes a prime number?<\/strong><\/strong> <p class=\"schema-faq-answer\">Any natural number that can only be divided by itself and one is a prime number. That is, prime numbers are whole numbers that are bigger than 1 and have only one part, which is the number itself. The prime numbers are 2, 3, 5, 7, 11, 13, and so on.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1721293633436\"><strong class=\"schema-faq-question\"><strong>What are the rules for prime numbers?<\/strong><\/strong> <p class=\"schema-faq-answer\">Prime numbers are those that can only be divided by themselves and 1. If you try to divide them by another number, you get a non-whole number. What this means is that if you split the number by something other than one or itself, you will get a number besides zero.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1721293690861\"><strong class=\"schema-faq-question\"><strong>Why is 2 the smallest prime number?<\/strong><\/strong> <p class=\"schema-faq-answer\">There can be only two factors of a prime number: 1 and the number itself. Since only 1 and 2 can be divided by 2, the number 2 is the lowest prime number.<\/p> <\/div> <\/div>\n\n\n\n<p class=\"has-text-align-center has-vivid-red-color has-text-color has-link-color has-medium-font-size wp-elements-adc4b1619be72b19c4386dda21667032\"><strong>RELATED BLOGS<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table><tbody><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/basic-concepts-faces-edges-and-vertices\/\"><strong>What are Vertices, Faces And Edges?<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/basic-concepts-perimeter-of-rectangle\/\"><strong>Perimeter of Rectangle: Formula and Examples&nbsp;<\/strong><\/a><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/indian-exams\/study-material\/maths\/basic-concepts-surface-area-of-prism\/\"><strong>Surface Area of Prism: Formula, Steps and Example<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/basic-concepts-area-of-rectangle\/\"><strong>Area of Rectangle: Formula and Example&nbsp;<\/strong><\/a><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/basic-concepts-surface-area-of-a-cuboid\/\"><strong>Surface Area of a Cuboid: Definition, Derivation and Formula<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/basic-concepts-maths-shapes\/\"><strong>Different Maths Shapes for Students and Kids<\/strong><\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>This was all about \u201c<strong>Prime Numbers<\/strong>\u201d. For more such informative blogs, check out our<a href=\"https:\/\/leverageedu.com\/discover\/category\/indian-exams\/study-material\/\"> Study Material Section<\/a>, or you can learn more about us by visiting our<a href=\"https:\/\/leverageedu.com\/discover\/category\/indian-exams\/\">&nbsp; Indian exams<\/a> page.<\/p>\n","protected":false},"excerpt":{"rendered":"Prime numbers, fundamental to number theory, are the building blocks of the number system. A prime number is&hellip;\n","protected":false},"author":115,"featured_media":837139,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"editor_notices":[],"footnotes":""},"categories":[369,476,396],"tags":[],"class_list":{"0":"post-837137","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-indian-exams","8":"category-maths","9":"category-study-material"},"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.3 (Yoast SEO v27.3) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Basics of Prime Numbers: Definition, Chart, Properties, and Solved Examples - Leverage Edu Discover<\/title>\n<meta name=\"description\" content=\"In this blog, You can learn more about basic prime numbers with properties and solved examples, Let&#039;s start!\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-prime-numbers\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Basics of Prime Numbers: Definition, Chart, Properties, and Solved Examples\" \/>\n<meta property=\"og:description\" content=\"In this blog, You can learn more about basic prime numbers with properties and solved examples, Let&#039;s start!\" \/>\n<meta property=\"og:url\" content=\"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-prime-numbers\/\" \/>\n<meta property=\"og:site_name\" content=\"Leverage Edu Discover\" \/>\n<meta property=\"article:published_time\" content=\"2024-07-18T10:27:39+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/blogassets.leverageedu.com\/media\/uploads\/sites\/9\/2024\/07\/15074106\/Prime-Numbers.png\" \/>\n\t<meta property=\"og:image:width\" content=\"1024\" \/>\n\t<meta property=\"og:image:height\" content=\"640\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"author\" content=\"Mohit Rajak\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Mohit Rajak\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"5 minutes\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Basics of Prime Numbers: Definition, Chart, Properties, and Solved Examples - Leverage Edu Discover","description":"In this blog, You can learn more about basic prime numbers with properties and solved examples, Let's start!","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-prime-numbers\/","og_locale":"en_US","og_type":"article","og_title":"Basics of Prime Numbers: Definition, Chart, Properties, and Solved Examples","og_description":"In this blog, You can learn more about basic prime numbers with properties and solved examples, Let's start!","og_url":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-prime-numbers\/","og_site_name":"Leverage Edu Discover","article_published_time":"2024-07-18T10:27:39+00:00","og_image":[{"width":1024,"height":640,"url":"https:\/\/blogassets.leverageedu.com\/media\/uploads\/sites\/9\/2024\/07\/15074106\/Prime-Numbers.png","type":"image\/png"}],"author":"Mohit Rajak","twitter_card":"summary_large_image","twitter_misc":{"Written by":"Mohit Rajak","Est. reading time":"5 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-prime-numbers\/#article","isPartOf":{"@id":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-prime-numbers\/"},"author":{"name":"Mohit Rajak","@id":"https:\/\/leverageedu.com\/discover\/#\/schema\/person\/397ac1e3cf645bddda6f314b3308005b"},"headline":"Basics of Prime Numbers: Definition, Chart, Properties, and Solved Examples","datePublished":"2024-07-18T10:27:39+00:00","mainEntityOfPage":{"@id":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-prime-numbers\/"},"wordCount":988,"commentCount":0,"image":{"@id":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-prime-numbers\/#primaryimage"},"thumbnailUrl":"https:\/\/blogassets.leverageedu.com\/media\/uploads\/sites\/9\/2024\/07\/15074106\/Prime-Numbers.png","articleSection":["Indian Exams","Maths","Study Material"],"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-prime-numbers\/#respond"]}]},{"@type":["WebPage","FAQPage"],"@id":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-prime-numbers\/","url":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-prime-numbers\/","name":"Basics of Prime Numbers: Definition, Chart, Properties, and Solved Examples - Leverage Edu Discover","isPartOf":{"@id":"https:\/\/leverageedu.com\/discover\/#website"},"primaryImageOfPage":{"@id":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-prime-numbers\/#primaryimage"},"image":{"@id":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-prime-numbers\/#primaryimage"},"thumbnailUrl":"https:\/\/blogassets.leverageedu.com\/media\/uploads\/sites\/9\/2024\/07\/15074106\/Prime-Numbers.png","datePublished":"2024-07-18T10:27:39+00:00","author":{"@id":"https:\/\/leverageedu.com\/discover\/#\/schema\/person\/397ac1e3cf645bddda6f314b3308005b"},"description":"In this blog, You can learn more about basic prime numbers with properties and solved examples, Let's start!","breadcrumb":{"@id":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-prime-numbers\/#breadcrumb"},"mainEntity":[{"@id":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-prime-numbers\/#faq-question-1721293621798"},{"@id":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-prime-numbers\/#faq-question-1721293633436"},{"@id":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-prime-numbers\/#faq-question-1721293690861"}],"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-prime-numbers\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-prime-numbers\/#primaryimage","url":"https:\/\/blogassets.leverageedu.com\/media\/uploads\/sites\/9\/2024\/07\/15074106\/Prime-Numbers.png","contentUrl":"https:\/\/blogassets.leverageedu.com\/media\/uploads\/sites\/9\/2024\/07\/15074106\/Prime-Numbers.png","width":1024,"height":640,"caption":"Prime Numbers"},{"@type":"BreadcrumbList","@id":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-prime-numbers\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/leverageedu.com\/discover\/"},{"@type":"ListItem","position":2,"name":"Basics of Prime Numbers: Definition, Chart, Properties, and Solved Examples"}]},{"@type":"WebSite","@id":"https:\/\/leverageedu.com\/discover\/#website","url":"https:\/\/leverageedu.com\/discover\/","name":"Leverage Edu Discover","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/leverageedu.com\/discover\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/leverageedu.com\/discover\/#\/schema\/person\/397ac1e3cf645bddda6f314b3308005b","name":"Mohit Rajak","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/secure.gravatar.com\/avatar\/093f38769270ccfe9d0812e2f23b6fe26cf8c7ceb4e4ace3482fdd4b80b122e9?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/093f38769270ccfe9d0812e2f23b6fe26cf8c7ceb4e4ace3482fdd4b80b122e9?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/093f38769270ccfe9d0812e2f23b6fe26cf8c7ceb4e4ace3482fdd4b80b122e9?s=96&d=mm&r=g","caption":"Mohit Rajak"},"description":"I\u2019m Mohit Rajak, a soul deeply entwined with the rhythm of words. I find peace and purpose in crafting verses that dance between the lines of poetry. With my pen as my wand, I weave intricate tales and heartfelt musings, breathing life into the blank canvas of each page. Blogging is my window to the world way of sharing thoughts, emotions, and a perspective uniquely my own. Every word I write is a brushstroke in the ever-evolving painting of my literary journey.","sameAs":["https:\/\/www.instagram.com\/xx_a.m.strings_xiv\/","https:\/\/www.linkedin.com\/in\/mohit-rajak-a9a5a2162\/"],"url":"https:\/\/leverageedu.com\/discover\/author\/mohit\/"},{"@type":"Question","@id":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-prime-numbers\/#faq-question-1721293621798","position":1,"url":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-prime-numbers\/#faq-question-1721293621798","name":"What makes a prime number?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Any natural number that can only be divided by itself and one is a prime number. That is, prime numbers are whole numbers that are bigger than 1 and have only one part, which is the number itself. The prime numbers are 2, 3, 5, 7, 11, 13, and so on.","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-prime-numbers\/#faq-question-1721293633436","position":2,"url":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-prime-numbers\/#faq-question-1721293633436","name":"What are the rules for prime numbers?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Prime numbers are those that can only be divided by themselves and 1. If you try to divide them by another number, you get a non-whole number. What this means is that if you split the number by something other than one or itself, you will get a number besides zero.","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-prime-numbers\/#faq-question-1721293690861","position":3,"url":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-prime-numbers\/#faq-question-1721293690861","name":"Why is 2 the smallest prime number?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"There can be only two factors of a prime number: 1 and the number itself. Since only 1 and 2 can be divided by 2, the number 2 is the lowest prime number.","inLanguage":"en-US"},"inLanguage":"en-US"}]}},"acf":[],"_links":{"self":[{"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/posts\/837137","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/users\/115"}],"replies":[{"embeddable":true,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/comments?post=837137"}],"version-history":[{"count":0,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/posts\/837137\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/media\/837139"}],"wp:attachment":[{"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/media?parent=837137"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/categories?post=837137"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/tags?post=837137"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}