[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-523361-105":59,"doc-detail-523361-en":131},{"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":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","factors-and-factorization-factors-and-factorization","Factors and Factorization - Factors and Factorization","","Worksheet for infinite pre-algebra practice on factors and factorization. Students list all positive factors for each given number and then write the prime-power factorization for selected numbers. Problems include values such as 30, 22, 28, 16, 60, 87, 68, 99, 85, 72, 96, 74, 86, 75, 48, 35, 46, 40, 100, and 66, progressing to larger composites like 972 and 660.",{"@graph":69,"@context":123},[70,84,106],{"@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/factors-and-factorization-factors-and-factorization/523361/",{"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/factors-and-factorization-factors-and-factorization/523361.png","ImageObject",300,407,{"name":92,"@type":93},"Muffet","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",12,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What do you have to do for each number in the worksheet?","Question",{"text":113,"@type":114},"First, list all positive factors of the number. Then, write the prime-power factorization for the required items.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How is prime-power factorization written?",{"text":118,"@type":114},"Express the number as a product of prime powers (prime raised to exponents), combined to match the original value.",{"name":120,"@type":111,"acceptedAnswer":121},"Are prime-power factorization problems included for only some of the numbers?",{"text":122,"@type":114},"Yes. The worksheet explicitly separates the tasks: “List all positive factors of each” and then “Write the prime-power factorization of each” for a following set of numbers.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},523361,1791497663,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":52,"preview_page_count":4},962090768927,"https://ap-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45","Kuta Software-Infinite Pre-Algebra Name   \nFactors and Factorization Date  Period   \nList all positive factors of each.  \n1) 30 2) 22  \n3) 28 4) 16  \n5) 60 6) 87  \n7) 68 8) 99  \n9) 85 10) 72  \n11) 96 12) 74  \n13) 86 14) 75  \nWrite the prime-power factorization of each.  \n15) 48 16) 35  \n17) 46 18) 40  \n19) 100 20) 66  \n21) 75 22) 72  \n23) 65 24) 81  \n25) 80 26) 54  \n27) 972 28) 660  \nKuta Software-Infinite Pre-Algebra Factors and Factorization  \nList all positive factors of each.  \n1) 30  \n1, 2, 3, 5, 6, 10, 15, 30  \nName___________________________________  \nDate________________ Period____  \n2) 22  \n1, 2, 11, 22  \n3) 28 4) 16  \n1, 2, 4, 7, 14, 28 1, 2, 4, 8, 16  \n5) 60 6) 87  \n1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 1, 3, 29, 87  \n7) 68 8) 99  \n1, 2, 4, 17, 34, 68 1, 3, 9, 11, 33, 99  \n9) 85 10) 72  \n1, 5, 17, 85 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72  \n11) 96 12) 74  \n1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96 1, 2, 37, 74  \n13) 86 14) 75  \n1, 2, 43, 86 1, 3, 5, 15, 25, 75  \nWrite the prime-power factorization of each.  \n15) 48 16) 35  \n24 ⋅ 3 5 ⋅ 7  \n17) 46 18) 40  \n2 ⋅ 23 23 ⋅ 5  \n19) 100 20) 66  \n22 ⋅ 52 2 ⋅ 3 ⋅ 11  \n21) 75 22) 72  \n2 3 2  \n3 ⋅ 5 2 ⋅ 3  \n23) 65 24) 81  \n5 ⋅ 13 34  \n25) 80 26) 54  \n24 ⋅ 5 2 ⋅ 33  \n27) 972 28) 660  \n22 ⋅ 35 22 ⋅ 3 ⋅ 5 ⋅ 11  \nCreate your own worksheets like this one with Infinite Pre-Algebra. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaipsr0ccvMmpB","https://ap.wps.com/l/cbCaipsr0ccvMmpB","pdf",27206,"English","# List all positive factors\n## Prime-power factorization","[{\"question\":\"What do you have to do for each number in the worksheet?\",\"answer\":\"First, list all positive factors of the number. Then, write the prime-power factorization for the required items.\"},{\"question\":\"How is prime-power factorization written?\",\"answer\":\"Express the number as a product of prime powers (prime raised to exponents), combined to match the original value.\"},{\"question\":\"Are prime-power factorization problems included for only some of the numbers?\",\"answer\":\"Yes. The worksheet explicitly separates the tasks: “List all positive factors of each” and then “Write the prime-power factorization of each” for a following set of numbers.\"}]","Factors and Factorization - Factors and Factorization | PDF",1791426779]