{"id":125041,"date":"2023-04-19T06:50:00","date_gmt":"2023-04-19T01:20:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=125041"},"modified":"2023-04-19T19:51:32","modified_gmt":"2023-04-19T14:21:32","slug":"rd-sharma-class-10-solutions-chapter-1-exercise-1-3","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-1-exercise-1-3\/","title":{"rendered":"RD Sharma Class 10 Solutions Chapter 1 Exercise 1.3 (Updated for 2023)"},"content":{"rendered":"\n<p><strong>RD Sharma Class 10 Solutions Chapter 1 Exercise 1.3:\u00a0<\/strong>Every composite number can be written as a product of primes, according to the Fundamental Theorem of Arithmetic. The questions in this exercise are solved using this concept. To assist students, the <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-for-maths\/\"><strong>RD Sharma Solutions Class 10<\/strong><\/a> is an excellent resource to use for quickly clarifying concerns and learning the correct process for solving problems. Use the <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-1-real-numbers\/\"><strong>RD Sharma Solutions for Class 10 Maths Chapter 1 Real Numbers<\/strong><\/a> Exercise 1.3 PDF, which is accessible below.<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_47_1 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\" aria-label=\"ez-toc-toggle-icon-1\"><label for=\"item-69d0809a7229c\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;direction:ltr;\"><svg style=\"fill: #000000;color:#000000\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path 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href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-1-exercise-1-3\/#download-rd-sharma-class-10-solutions-chapter-1-exercise-13-free-pdf\" title=\"Download RD Sharma Class 10 Solutions Chapter 1 Exercise 1.3 Free PDF\">Download RD Sharma Class 10 Solutions Chapter 1 Exercise 1.3 Free PDF<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-1-exercise-1-3\/#access-answers-to-rd-sharma-solutions-class-10-maths-chapter-1-exercise-13-important-question-with-answers\" title=\"Access answers to RD Sharma Solutions Class 10 Maths Chapter 1 Exercise 1.3- Important Question with Answers\">Access answers to RD Sharma Solutions Class 10 Maths Chapter 1 Exercise 1.3- Important Question with Answers<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-1-exercise-1-3\/#faqs-on-rd-sharma-class-10-solutions-chapter-1-exercise-13\" title=\"FAQs on RD Sharma Class 10 Solutions Chapter 1 Exercise 1.3\">FAQs on RD Sharma Class 10 Solutions Chapter 1 Exercise 1.3<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-1-exercise-1-3\/#where-can-i-download-rd-sharma-class-10-solutions-chapter-1-exercise-13-free-pdf\" title=\"Where can I download RD Sharma Class 10 Solutions Chapter 1 Exercise 1.3 free PDF?\">Where can I download RD Sharma Class 10 Solutions Chapter 1 Exercise 1.3 free PDF?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-1-exercise-1-3\/#is-it-required-to-remember-all-of-the-questions-in-chapter-1-exercise-13-of-rd-sharma-solutions-for-class-10-maths\" title=\"Is it required to remember all of the questions in Chapter 1 Exercise 1.3 of RD Sharma Solutions for Class 10 Maths?\">Is it required to remember all of the questions in Chapter 1 Exercise 1.3 of RD Sharma Solutions for Class 10 Maths?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-1-exercise-1-3\/#what-are-the-benefits-of-using-rd-sharma-class-10-solutions-chapter-1-exercise-13\" title=\"What are the benefits of using RD Sharma Class 10 Solutions Chapter 1 Exercise 1.3?\">What are the benefits of using RD Sharma Class 10 Solutions Chapter 1 Exercise 1.3?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-1-exercise-1-3\/#can-i-access-the-rd-sharma-class-10-solutions-chapter-1-exercise-13-pdf-offline\" title=\"Can I access the RD Sharma Class 10 Solutions Chapter 1 Exercise 1.3 PDF offline?\">Can I access the RD Sharma Class 10 Solutions Chapter 1 Exercise 1.3 PDF offline?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-class-10-solutions-chapter-1-exercise-13-free-pdf\"><\/span>Download RD Sharma Class 10 Solutions Chapter 1 Exercise 1.3 Free PDF<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div id=\"example1\" style=\"text-align: justify;\">\u00a0<\/div>\n<p style=\"text-align: justify;\"><style>\n.pdfobject-container { height: 800px;}<br \/>\n.pdfobject { border: 1px solid #666; }<br \/>\n<\/style><\/p>\n<p style=\"text-align: justify;\"><script src=\"https:\/\/www.kopykitab.com\/_utility\/js\/pdfobject.min.js\"><\/script><br \/><script>PDFObject.embed(\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Solution-Class-10-Chapter-1-Exercise-1.3.pdf\", \"#example1\");<\/script><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Solution-Class-10-Chapter-1-Exercise-1.3.pdf\">RD Sharma Class 10 Solutions Chapter 1 Exercise 1.3 PDF<\/a><\/p>\n<h3><span class=\"ez-toc-section\" id=\"access-answers-to-rd-sharma-solutions-class-10-maths-chapter-1-exercise-13-important-question-with-answers\"><\/span>Access answers to RD Sharma Solutions Class 10 Maths Chapter 1 Exercise 1.3- Important Question with Answers<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div>\n<div>\n<div tabindex=\"0\" role=\"button\">\n<div>Question 1.<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div><main>\n<article aria-label=\"RD Sharma Class 10 Solutions Chapter 1 Real Numbers Ex 1.3\">\n<p>Express each of the following integers as a product of its prime factors :<br \/>(i) 420<br \/>(ii) 468<br \/>(iii) 945<br \/>(iv) 7325<br \/>Solution:<br \/>(i) 420<br \/>=2 x 2 x 3 x 5 x 7<br \/>= 2<sup>2<\/sup>\u00a0x 3 x 5 x 7<br \/><img src=\"https:\/\/farm1.staticflickr.com\/901\/42427897231_5a7fda5be8_o.png\" alt=\"RD Sharma Class 10 Solutions Chapter 1 Real Numbers Ex 1.3\" width=\"273\" height=\"230\" \/><br \/><img src=\"https:\/\/farm2.staticflickr.com\/1754\/42378054422_2bdeab2b6a_o.png\" alt=\"RD Sharma Class 10 Pdf Chapter 1 Real Numbers Ex 1.3\" width=\"285\" height=\"289\" \/><br \/><img src=\"https:\/\/farm2.staticflickr.com\/1733\/42427897151_00ecc16e86_o.png\" alt=\"RD Sharma Solutions Class 10 Chapter 1 Real Numbers Ex 1.3\" width=\"292\" height=\"353\" \/><\/p>\n<p>Question 2.<br \/>Determine the prime factorization of each of the following positive integers:<br \/>(i) 20570<br \/>(ii) 58500<br \/>(iii) 45470971<br \/>Solution:<br \/>(i) 20570<br \/><img src=\"https:\/\/farm2.staticflickr.com\/1735\/42378054932_86ab60eee0_o.png\" alt=\"Class 10 RD Sharma Solutions Chapter 1 Real Numbers Ex 1.3\" width=\"104\" height=\"127\" \/><br \/>20570 = 2 x 5 x 11 x 11 x 17 = 2 x 5 x 11<sup>2<\/sup>\u00a0x 17<br \/><img src=\"https:\/\/farm2.staticflickr.com\/1722\/42427897331_014b89f3d1_o.png\" alt=\"RD Sharma Class 10 Pdf Free Download Full Book Chapter 1 Real Numbers Ex 1.3\" width=\"363\" height=\"559\" \/><\/p>\n<p>Question 3.<br \/>Explain why 7 x 11 x 13 + 13 and 7 x 6 x 5 x 4 x 3 x 2 x 1 + 5 are composite numbers.<br \/>Solution:<br \/>We know that a composite number is a number that can be factorized. It has more factors other than itself and one<br \/>Now, 7 x 11 x 13 + 13 = 13 (7 x 11 + 1) = 13 x 78<br \/>Which is a composite number<br \/>Similarly,<br \/>7 x 6 x 5 x 4 x 3 x 2 x 1 + 5 = 5(7 x 6 x 4 x 3 x 2 x 1 + 1)<br \/>= 5 x 1009<br \/>Which is a composite number<br \/>Hence proved<\/p>\n<p>Question 4.<br \/>Check whether 6<sup>n<\/sup>\u00a0can end with the digit 0 for any natural number n.<br \/>Solution:<br \/>No, 6<sup>n<\/sup> can\u2019t end with the digit 0 as the number ending 0 can be factorized of the type<br \/>2<sup>n<\/sup>\u00a0x 5<sup>m<\/sup>\u00a0only but 6<sup>n<\/sup>\u00a0= (2 x 3)<sup>n<\/sup>\u00a0= 2<sup>n<\/sup>\u00a0x 3<sup>n<\/sup><br \/>Which does not has 5<sup>m<\/sup> as a factor.<\/p>\n<p>Question 5.<br \/>Explain why 3 x 5 x 7 + 7 is a composite number. [NCERT Exemplar]<br \/>Solution:<br \/>We have, 3 x 5 x 7 + 7 = 105 + 7 = 112<br \/>Now, 112 = 2 x 2 x 2 x 2 x 7 = 2<sup>4<\/sup>\u00a0x 7<br \/>So, it is the product of prime factors 2 and 7. i.e., it has more than two factors.<br \/>Hence, it is a composite number.<\/p>\n<p>We have provided complete details of RD Sharma Class 10 Solutions Chapter 1 Exercise 1.3. If you have any queries related to <a href=\"https:\/\/www.cbse.gov.in\/\" target=\"_blank\" rel=\"noopener\"><strong>CBSE<\/strong><\/a> Class 10, feel free to ask us in the comment section below.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"faqs-on-rd-sharma-class-10-solutions-chapter-1-exercise-13\"><\/span>FAQs on RD Sharma Class 10 Solutions Chapter 1 Exercise 1.3<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<\/article>\n<\/main><\/div>\n\n\n<div id=\"rank-math-faq\" class=\"rank-math-block\">\n<div class=\"rank-math-list \">\n<div id=\"faq-question-1631019481917\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"where-can-i-download-rd-sharma-class-10-solutions-chapter-1-exercise-13-free-pdf\"><\/span>Where can I download RD Sharma Class 10 Solutions Chapter 1 Exercise 1.3 free PDF?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can download RD Sharma Class 10 Solutions Chapter 1 Exercise 1.3 free PDF from the above article.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1631019645253\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"is-it-required-to-remember-all-of-the-questions-in-chapter-1-exercise-13-of-rd-sharma-solutions-for-class-10-maths\"><\/span>Is it required to remember all of the questions in Chapter 1 Exercise 1.3 of RD Sharma Solutions for Class 10 Maths?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, all of the questions in RD Sharma Solutions for Class 10 Maths Chapter 1 Exercise 1.3 must be learned. These questions may appear on both board exams and class tests. Students will be prepared for their board exams if they learn these questions.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1631019771141\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"what-are-the-benefits-of-using-rd-sharma-class-10-solutions-chapter-1-exercise-13\"><\/span>What are the benefits of using RD Sharma Class 10 Solutions Chapter 1 Exercise 1.3?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>1. Correct answers according to the last CBSE guidelines and syllabus.<br \/>2. The solutions are written in simple language to assist students in their board examination, &amp; competitive examination preparation.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1681884347803\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"can-i-access-the-rd-sharma-class-10-solutions-chapter-1-exercise-13-pdf-offline\"><\/span>Can I access the RD Sharma Class 10 Solutions Chapter 1 Exercise 1.3 PDF offline?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Once you have downloaded the RD Sharma Class 10 Solutions Chapter 1 Exercise 1.3 PDF online, you can access it offline whenever you want.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>RD Sharma Class 10 Solutions Chapter 1 Exercise 1.3:\u00a0Every composite number can be written as a product of primes, according to the Fundamental Theorem of Arithmetic. The questions in this exercise are solved using this concept. To assist students, the RD Sharma Solutions Class 10 is an excellent resource to use for quickly clarifying concerns &#8230; <a title=\"RD Sharma Class 10 Solutions Chapter 1 Exercise 1.3 (Updated for 2023)\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-1-exercise-1-3\/\" aria-label=\"More on RD Sharma Class 10 Solutions Chapter 1 Exercise 1.3 (Updated for 2023)\">Read more<\/a><\/p>\n","protected":false},"author":238,"featured_media":125046,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[73411,2985,73410],"tags":[3243,9206,73520,4388],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/125041"}],"collection":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/users\/238"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=125041"}],"version-history":[{"count":5,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/125041\/revisions"}],"predecessor-version":[{"id":354602,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/125041\/revisions\/354602"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/125046"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=125041"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=125041"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=125041"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}