[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-523356-105":59,"doc-detail-523356-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","factoring-monomials-prime-factorization-worksheets","Factoring Monomials - Prime Factorization Worksheets","","Factoring Monomials worksheets for Infinite Pre-Algebra, focused on prime factorizations and prime-power factorizations of monomials. The problems instruct students to write each expression as a product of primes without using exponents, then to convert selected expressions into prime-power form. Exercises include terms with variables such as n, x, y, a, b, q, v, h, and composite variable products like xy and ab. A complete set of numbered items supports guided practice and independent worksheet creation.",{"@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/factoring-monomials-prime-factorization-worksheets/523356/",{"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/factoring-monomials-prime-factorization-worksheets/523356.png","ImageObject",300,407,{"name":92,"@type":93},"Alexandar","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":44},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What do you write in the first section of the worksheet?","Question",{"text":112,"@type":113},"Write the prime factorization of each monomial, as a product of prime factors without using exponents.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What is the second section asking for?",{"text":117,"@type":113},"Write the prime-power factorization of each monomial, expressing primes with powers.",{"name":119,"@type":110,"acceptedAnswer":120},"Can exponents be used in the prime-factorization answers?",{"text":121,"@type":113},"No. The worksheet explicitly says not to use exponents for the prime factorization section.","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},523356,1791558549,{"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":44,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"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":143,"read_time":52,"preview_page_count":4},962090768658,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Kuta Software-Infinite Pre-Algebra Name   \nFactoring Monomials Date  Period   \nWrite the prime factorization of each. Do not use exponents.  \n1) 25n2 2) 18xy  \n3) 12a 4) 21 y2  \n5) 81a 6) 92q  \n7) 36x3 8) 24h  \n9) 48x2 10) 92xy  \n11) 18x2 12) 50x  \nWrite the prime-power factorization of each.  \n13) 16 y 14) 28 y  \n15) 8v 16) 18xy  \n17) 10 y2 18) 20b2  \n19) 21x2 20) 77 y  \n21) 84ab 22) 78a3  \n23) 52uv 24) 66 y  \n25) 82ab 26) 26x2  \nKuta Software-Infinite Pre-Algebra Name   \nFactoring Monomials Date  Period   \nWrite the prime factorization of each. Do not use exponents.  \n1) 25n2 2) 18xy  \n5 ⋅ 5 ⋅ n ⋅ n 2 ⋅ 3 ⋅ 3 ⋅ x ⋅ y  \n3) 12a 4) 21 y2  \n2 ⋅ 2 ⋅ 3 ⋅ a 3 ⋅ 7 ⋅ y ⋅ y  \n5) 81a 6) 92q  \n3 ⋅ 3 ⋅ 3 ⋅ 3 ⋅ a 2 ⋅ 2 ⋅ 23 ⋅ q  \n7) 36x3 8) 24h  \n2 ⋅ 2 ⋅ 3 ⋅ 3 ⋅ x ⋅ x ⋅ x 2 ⋅ 2 ⋅ 2 ⋅ 3 ⋅ h  \n9) 48x2 10) 92xy  \n2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 3 ⋅ x ⋅ x 2 ⋅ 2 ⋅ 23 ⋅ x ⋅ y  \n11) 18x2 12) 50x  \n2 ⋅ 3 ⋅ 3 ⋅ x ⋅ x 2 ⋅ 5 ⋅ 5 ⋅ x  \nWrite the prime-power factorization of each.  \n13) 16 y 14) 28 y  \n24 ⋅ y 22 ⋅ 7 ⋅ y  \n15) 8v 16) 18xy  \n23 ⋅ v 2 ⋅ 32 ⋅ x ⋅ y  \n17) 10 y2 18) 20b2  \n2 2 2  \n2 ⋅ 5 ⋅ y 2 ⋅ 5 ⋅ b  \n19) 21x2 20) 77 y  \n3 ⋅ 7 ⋅ x 2 7 ⋅ 11 ⋅ y  \n21) 84ab 22) 78a3  \n22 ⋅ 3 ⋅ 7 ⋅ a ⋅ b 2 ⋅ 3 ⋅ 13 ⋅ a 3  \n23) 52uv 24) 66 y  \n22 ⋅ 13 ⋅ u ⋅ v 2 ⋅ 3 ⋅ 11 ⋅ y  \n25) 82ab 26) 26x2  \n2 ⋅ 41 ⋅ a ⋅ b 2 ⋅ 13 ⋅ x 2  \nCreate your own worksheets like this one with Infinite Pre-Algebra. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaieBcxJaFfKLS","https://ap.wps.com/l/cbCaieBcxJaFfKLS","pdf",31221,"English","# Factoring Monomials\n## Prime factorization (no exponents)\n## Prime-power factorization","[{\"question\":\"What do you write in the first section of the worksheet?\",\"answer\":\"Write the prime factorization of each monomial, as a product of prime factors without using exponents.\"},{\"question\":\"What is the second section asking for?\",\"answer\":\"Write the prime-power factorization of each monomial, expressing primes with powers.\"},{\"question\":\"Can exponents be used in the prime-factorization answers?\",\"answer\":\"No. The worksheet explicitly says not to use exponents for the prime factorization section.\"}]","Factoring Monomials - Prime Factorization Worksheets | PDF",1791426775]