[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-637020-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-637020-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","prime-factorization-challenges-2-worksheet","Prime Factorization Challenges 2 - Worksheet","","This educational resource presents a series of mathematical challenges focused on prime factorization for middle-school level learners. The worksheet provides three distinct problem sets, labeled A, B, and C, which require students to identify numbers based on specific constraints regarding their prime factors, magnitudes, and powers. The document also includes a dedicated answer key, offering step-by-step solutions for each challenge. It serves as an excellent practice tool for reinforcing understanding of prime numbers, exponents, and product decomposition in a structured and engaging format suitable for both classroom instruction and individual home study.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/prime-factorization-challenges-2-worksheet/637020/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/prime-factorization-challenges-2-worksheet/637020.png","ImageObject",300,407,{"name":42,"@type":43},"Alexandar","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-02","2026-10-22",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",5,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What are the three possible solutions for Challenge A?","Question",{"text":63,"@type":64},"The three possibilities are 130 (2 x 5 x 13), 182 (2 x 7 x 13), and 195 (3 x 5 x 13).","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What criteria define the numbers in Challenge B?",{"text":68,"@type":64},"The number must be between 6 squared (36) and 8 squared (64), and be the product of two different prime factors where one is raised to the 2nd power.",{"name":70,"@type":61,"acceptedAnswer":71},"How many prime numbers are multiplied to form the solutions in Challenge C?",{"text":72,"@type":64},"The numbers that are products of the most prime numbers below 100 consist of 6 prime factors, specifically 64 (2^6) and 96 (2^5 x 3).","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},637020,1792898293,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":55,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":26,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":55},962090768658,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Name Date  \nPRIME FACTORIZATION CHALLENGES 2  \nSee if you can solve these prime factorization challenges!  \nCHALLENGE A  \n• I am a product of 3 different prime numbers.  \n• My largest prime factor is 13.  \n• I am between 100 and 200.  \nWho am I?    \n(There are 3 possibilities – can you find them all?)   \nCHALLENGE B  \n• I am the product two different prime factors.  \n• One of my factors is raised to the 2 nd power.  \n• My value is between 6 squared and 8 squared.  \nWho am I?    \n(There are 5 possibilities – can you find them all?)   \nCHALLENGE C  \n• Find the number that is the product of the most prime numbers below 100.  \n• Prime factors can be repeated – example: 2 x 2 x 2 x 5 counts as 4 numbers.  \nWho am I?    \n(There are 2 possibilities – can you find them both?)   \nName Date  \nPRIME FACTORIZATION CHALLENGES 2 ANSWERS  \nSee if you can solve these prime factorization challenges!  \nCHALLENGE A  \n• I am a product of 3 different prime numbers.  \n• My largest prime factor is 13.  \n• I am between 100 and 200.  \nWho am I? 2 x 5 x 13 = 130; 2 x 7 x 13 = 182; 3 x 5 x 13 = 195  \n(There are 3 possibilities – can you find them all?)   \nCHALLENGE B  \n• I am the product two different prime factors.  \n• One of my factors is raised to the 2 nd power.  \n• My value is between 6 squared and 8 squared.  \nWho am I? 22 x 11 = 44; 22 x 13 = 52; 32 x 5 = 45;  \n32 x 7 = 63; 52 x 2 = 50;  \n(There are 5 possibilities – can you find them all?)  \nCHALLENGE C  \n• Find the number that is the product of the most prime numbers below 100.  \n• Prime factors can be repeated – example: 2 x 2 x 2 x 5 counts as 4 numbers.  \nWho am I? 2 x 2 x 2 x 2 x 2 x 2 = 26 = 64; 2 x 2 x 2 x 2 x 2 x 3 = 25 x 3 = 96  \nBoth these numbers are the product of 6 prime numbers.","cbCaihnC6YpmjJIg","https://ap.wps.com/l/cbCaihnC6YpmjJIg","pdf",284858,"English","# Challenge A\n# Challenge B\n# Challenge C\n# Answer Key","[{\"question\":\"What are the three possible solutions for Challenge A?\",\"answer\":\"The three possibilities are 130 (2 x 5 x 13), 182 (2 x 7 x 13), and 195 (3 x 5 x 13).\"},{\"question\":\"What criteria define the numbers in Challenge B?\",\"answer\":\"The number must be between 6 squared (36) and 8 squared (64), and be the product of two different prime factors where one is raised to the 2nd power.\"},{\"question\":\"How many prime numbers are multiplied to form the solutions in Challenge C?\",\"answer\":\"The numbers that are products of the most prime numbers below 100 consist of 6 prime factors, specifically 64 (2^6) and 96 (2^5 x 3).\"}]","Prime Factorization Challenges 2 - Worksheet | PDF",1792679594]