[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-551058-105":59,"doc-detail-551058-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","expressing-prime-factors-using-exponents-grade-6-factoring-worksheet","Expressing Prime Factors Using Exponents - Grade 6 Factoring Worksheet","","This Grade 6 mathematics worksheet focuses on teaching students how to represent numbers as a product of prime factors and subsequently rewrite them using exponent notation. The document provides a structured table requiring the decomposition of twelve specific composite numbers (ranging from 48 to 192) into their prime components. A comprehensive answer key is included at the end of the document, demonstrating the correct prime factorization process and the corresponding conversion into exponent form for each of the listed problems. This material is designed to reinforce foundational number theory concepts and algebraic notation skills for middle school students, ensuring they understand the relationship between prime decomposition and powers of integers.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/expressing-prime-factors-using-exponents-grade-6-factoring-worksheet/551058/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/expressing-prime-factors-using-exponents-grade-6-factoring-worksheet/551058.png","ImageObject",300,407,{"name":92,"@type":93},"Chumphorn","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-03","2026-10-12",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the goal of this worksheet?","Question",{"text":112,"@type":113},"The goal is to help Grade 6 students practice breaking down numbers into their prime factors and expressing those factors using exponent notation.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are the prime factors represented in the answer key?",{"text":117,"@type":113},"The answer key shows two formats: a product of prime factors (e.g., 2 × 2 × 2 × 3) and the equivalent exponent form (e.g., 2³ × 3).",{"name":119,"@type":110,"acceptedAnswer":120},"What range of numbers are covered in the exercise?",{"text":121,"@type":113},"The worksheet includes twelve problems covering numbers from 48 to 192.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},551058,1791786814,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":34,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":129,"read_time":24,"preview_page_count":4},2336475401981,"https://ap-avatar.wpscdn.com/avatar/22000c94efd8d5204d?x-image-process=image/resize,m_fixed,w_180,h_180&k=1786935347598174694","Expressing prime factors using exponents  \nGrade 6 Factoring Worksheet  \nWrite each number as a product of prime factors. Then write the answer using exponents.  \n\n| Number | Prime factorization | Exponent form |\n| --- | --- | --- |\n| 1) 48 |  |  |\n| 2) 54 |  |  |\n| 3) 72 |  |  |\n| 4) 80 |  |  |\n| 5) 96 |  |  |\n| 6) 88 |  |  |\n| 7) 120 |  |  |\n| 8) 75 |  |  |\n| 9) 50 |  |  |\n| 10) 168 |  |  |\n| 11) 180 |  |  |\n| 12) 192 |  |  |\n\nAnswers  \n\n| Number | Prime factorization | Exponent form |\n| --- | --- | --- |\n| 1) 48 | 2 × 2 × 2 × 2 × 3 | 2⁴ × 3 |\n| 2) 54 | 2 × 3 × 3 × 3 | 2 × 3³ |\n| 3) 72 | 2 × 2 × 2 × 3 × 3 | 2³ × 3² |\n| 4) 80 | 2 × 2 × 2 × 2 × 5 | 2⁴ × 5 |\n| 5) 96 | 2 × 2 × 2 × 2 × 2 × 3 | 2⁵ × 3 |\n| 6) 88 | 2 × 2 × 2 × 11 | 2³ × 11 |\n| 7) 120 | 2 × 2 × 2 × 3 × 5 | 2³ × 3 × 5 |\n| 8) 75 | 3 × 5 × 5 | 3 × 5² |\n| 9) 50 | 2 × 5 × 5 | 2 × 5² |\n| 10) 168 | 2 × 2 × 2 × 3 × 7 | 2³ × 3 × 7 |\n| 11) 180 | 2 × 2 × 3 × 3 × 5 | 2² × 3² × 5 |\n| 12) 192 | 2 × 2 × 2 × 2 × 2 × 2 × 3 | 2⁶ × 3 |","cbCaiosUPjEOT0i9","https://ap.wps.com/l/cbCaiosUPjEOT0i9","pdf",112598,"English","# Prime Factorization Exercises\n## Answer Key","[{\"question\":\"What is the goal of this worksheet?\",\"answer\":\"The goal is to help Grade 6 students practice breaking down numbers into their prime factors and expressing those factors using exponent notation.\"},{\"question\":\"How are the prime factors represented in the answer key?\",\"answer\":\"The answer key shows two formats: a product of prime factors (e.g., 2 × 2 × 2 × 3) and the equivalent exponent form (e.g., 2³ × 3).\"},{\"question\":\"What range of numbers are covered in the exercise?\",\"answer\":\"The worksheet includes twelve problems covering numbers from 48 to 192.\"}]","Expressing Prime Factors Using Exponents - Grade 6 Factoring Worksheet | PDF"]