[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-637019-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-637019-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-1","Prime Factorization Challenges 1","","This educational worksheet provides a series of mathematical challenges focused on prime factorization. It tasks students with identifying numbers based on specific prime factor characteristics, such as the number of factors, exponent constraints, and numerical ranges. The document covers three distinct challenges, requiring learners to solve problems involving products of prime numbers and powers. It includes a comprehensive answer key at the end, making it suitable for classroom practice, self-study, and mathematical skill assessment for students learning number theory and factors.",{"@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-1/637019/",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-1/637019.png","ImageObject",300,407,{"name":42,"@type":43},"Alexandar","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-01","2026-10-22",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",9,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What are the possible answers for Challenge A?","Question",{"text":63,"@type":64},"The possible answers for Challenge A are 30 (2x3x5), 42 (2x3x7), 66 (2x3x11), and 78 (2x3x13).","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How are the solutions for Challenge B determined?",{"text":68,"@type":64},"Challenge B asks for a number that is a prime raised to the 3rd power, between 10 and 200, which results in 3^3=27 and 5^3=125.",{"name":70,"@type":61,"acceptedAnswer":71},"What criteria must a number meet to satisfy Challenge C?",{"text":72,"@type":64},"The number must be the product of two different prime factors, both raised to the power of 2, and remain less than 200; the solutions are 36, 100, and 196.","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},637019,1792876436,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,119,122,126],{"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":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},"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":96,"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":96},962090768658,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Name Date  \nPRIME FACTORIZATION CHALLENGES 1  \nSee if you can solve these prime factorization challenges!  \nCHALLENGE A  \n• I am a product of 3 different prime numbers.  \n• I am less than 100.  \nWho am I?    \n(There are 4 possibilities – can you find them all?)   \nCHALLENGE B  \n• I am the product just one prime factor raised to the 3 rd power.  \n• I am less than 200 but greater than 10.  \nWho am I?    \n(There are 2 possibilities – can you find them both?)   \nCHALLENGE C  \n• I am the product of 2 different prime factors.  \n• Both of my factors have an exponent of 2.  \n• I am less than 200.  \nWho am I?    \n(There are 3 possibilities – can you find them all?)   \nName Date  \nPRIME FACTORIZATION CHALLENGES 1 ANSWERS  \nSee if you can solve these prime factorization challenges!  \nCHALLENGE A  \n• I am a product of 3 different prime numbers.  \n• I am less than 100.  \nWho am I? 2 x 3 x 5 = 30, 2 x 3 x 7 = 42, 2 x 3 x 11 = 66, 2 x 3 x 13 = 78  \n(There are 4 possibilities – can you find them all?)  \nCHALLENGE B  \n• I am the product just one prime factor raised to the 3 rd power.  \n• I am less than 200 but greater than 10.  \nWho am I? 33 = 27; 53 = 125  \n(There are 2 possibilities – can you find them both?)  \nCHALLENGE C  \n• I am the product of 2 different prime factors.  \n• Both of my factors have an exponent of 2.  \n• I am less than 200.  \nWho am I? 22 x 32 = 36; 22 x 52 = 100; 22 x 72 = 196  \n(There are 3 possibilities – can you find them all?)","cbCaijkZOPJTyxfc","https://ap.wps.com/l/cbCaijkZOPJTyxfc","pdf",247107,"English","# Challenge A\n## Challenge B\n## Challenge C\n## Answer Key","[{\"question\":\"What are the possible answers for Challenge A?\",\"answer\":\"The possible answers for Challenge A are 30 (2x3x5), 42 (2x3x7), 66 (2x3x11), and 78 (2x3x13).\"},{\"question\":\"How are the solutions for Challenge B determined?\",\"answer\":\"Challenge B asks for a number that is a prime raised to the 3rd power, between 10 and 200, which results in 3^3=27 and 5^3=125.\"},{\"question\":\"What criteria must a number meet to satisfy Challenge C?\",\"answer\":\"The number must be the product of two different prime factors, both raised to the power of 2, and remain less than 200; the solutions are 36, 100, and 196.\"}]","Prime Factorization Challenges 1 | PDF",1792679588]