[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-634781-105":59,"doc-detail-634781-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","divisibility-rules-1-9-chart-divisibility-rules-overview","DIVISIBILITY RULES 1-9 CHART - Divisibility rules overview","","Divisibility Rules 1–9 Chart provides quick tests for determining whether integers are divisible by 1 through 9. It summarizes the core logic for each divisor: factors based on last digit patterns for 2, 5; digit-sum checks for 3 and 9; divisibility by 4 using the last two digits; rules for 6 combining 2 and 3; and special procedures for 7 and 8 using doubled last digits and halving sequences. Examples clarify both divisible and not-divisible cases.",{"@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/divisibility-rules-1-9-chart-divisibility-rules-overview/634781/",{"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/divisibility-rules-1-9-chart-divisibility-rules-overview/634781.png","ImageObject",300,407,{"name":92,"@type":93},"Angel","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-10-22",true,{"@type":102,"interactionType":103,"userInteractionCount":24},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the divisibility rule for 2?","Question",{"text":112,"@type":113},"An integer is divisible by 2 if its last digit is 0, 2, 4, 6, or 8.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you test divisibility by 3?",{"text":117,"@type":113},"Add the digits of the integer and check whether the sum is divisible by 3 (the 3 times table).",{"name":119,"@type":110,"acceptedAnswer":120},"What is the divisibility rule for 7?",{"text":121,"@type":113},"Double the last digit and subtract that from the number formed by the other digits; if the result is divisible by 7, the original number is divisible by 7 (repeat if needed).","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},634781,1792882415,{"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":24,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":8,"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":81},687207412472,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Name Date  \nDIVISIBILITY RULES 1-9 CHART  \n| DIVISIBLE BY 1 | DIVISIBLE BY 2 | DIVISIBLE BY 3 |\n| --- | --- | --- |\n| All integers are divisible by 1. | All even numbers are divisible by 2.\u003Cbr>This means any integer whose last digit is 0, 2, 4, 6 or 8. | All integers where the total of the digits is divisible by 3 (in the 3 times table) . This rule can be repeated if needed. |\n| 147 is divisible by 1 because it is a whole number. 2059 is divisible by 1 because it is a whole number.\u003Cbr>12.8 is not divisible by 1 because it is not an integer. | 318 is divisible by 2 because the last digit is 8. 8÷2=4 (divisible)\u003Cbr>513 is not divisible by 2 because 3÷2=1 ½ (not divisible) . | 714 is divisible by 3 because 7+1+4=12 and 12÷3=4 (divisible) .\u003Cbr>3515 is not divisible by 3 because 3+5+1+5=14 . Repeat the rule: 1+4=5 . Not divisible by 3. |\n| DIVISIBLE BY 4 | DIVISIBLE BY 5 | DIVISIBLE BY 6 |\n| All even integers whose last two digits are divisible by 4.\u003Cbr>A quick way to test this is to halve the last two digits twice and see if you get a whole number. | All integers whose last digit is a 0 or 5. | All even integers which are divisible by 3 (see Divisible by 3 rule) . |\n| 1328 is divisible by 4 because 28÷4=7 .\u003Cbr>793 is not divisible by 4 because it is odd.\u003Cbr>870 is not divisible by 4 because half of 70=35 and half of 35=17 ½ (not a whole number) | 4185 is divisible by 5 because the last digit is 5.\u003Cbr>319 is not divisible by 5 because the last digit is 9. | 432 is divisible by 3 because it is even and the total of the digits is 4+3+2=9 and 9÷3=3 (divisible) .\u003Cbr>158 is not divisible by 3 because 1+5+8=14 and 14÷3=4 2/3 (not divisible) . |\n| DIVISIBLE BY 7 | DIVISIBLE BY 8 | DIVISIBLE BY 9 |\n| Double the last digit and subtract the result from the number made by the other digits and see if it is divisible by 7. Repeat again if needed. | All even integers where the last 3 digits are divisible by 8.\u003Cbr>A quick way to test this is to halve the last 3 digits three times and see if you get a whole number. | All integers where the total of the digits is divisible by 9 (in the 9 times tables) . This rule can be repeated if needed. |\n| 1057 is divisible by 7 because 105-2x7=91 . 91÷7=13 (divisible) .\u003Cbr>841 is not divisible by 7 because 84–2x1=82 . 82÷7=11 5/7 (not divisible) . | 5312 is divisible by 8 because 312÷8=39 .\u003Cbr>1207 is not divisible by 8 because it is odd.\u003Cbr>4284 is not divisible by 8 because half of 284=142 and half of 142 is 71 and half of 71 is 35 ½ (not a whole number) | 2745 is divisible by 9 because 2+7+4+5=18 . Yesdivisible by 9.\u003Cbr>1024 is not divisible by 9 because 1+0+2+4=7 which is not divisible by 9. |\n\nAn integer is whole number which can be positive or negative.  \n0 is divisible by any number except itself.","cbCaigsAZffQXMt4","https://ap.wps.com/l/cbCaigsAZffQXMt4","pdf",193243,"English","# Divisibility by 1-3\n## Divisible by 1\n## Divisible by 2\n## Divisible by 3\n# Divisibility by 4-6\n## Divisible by 4\n## Divisible by 5\n## Divisible by 6\n# Divisibility by 7-9\n## Divisible by 7\n## Divisible by 8\n## Divisible by 9\n# Notes on integers and zero","[{\"question\":\"What is the divisibility rule for 2?\",\"answer\":\"An integer is divisible by 2 if its last digit is 0, 2, 4, 6, or 8.\"},{\"question\":\"How do you test divisibility by 3?\",\"answer\":\"Add the digits of the integer and check whether the sum is divisible by 3 (the 3 times table).\"},{\"question\":\"What is the divisibility rule for 7?\",\"answer\":\"Double the last digit and subtract that from the number formed by the other digits; if the result is divisible by 7, the original number is divisible by 7 (repeat if needed).\"}]","DIVISIBILITY RULES 1-9 CHART - Divisibility rules overview | PDF",1792674506]