[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-634780-105":3,"doc-detail-634780-en":80,"detail-sidebar-cat-0-en-105":95},{"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":73,"head_meta":75,"extra_data":77,"updated_unix":79},105,"en","divisibility-rules-1-9-chart-landscape-divisibility-rules-1-9-chart-landscape-1a","Divisibility Rules - 1-9 Chart - Landscape - Divisibility Rules 1-9 Chart Landscape 1a","","Divisibility Rules 1-9 provide quick tests for determining whether integers are divisible by 1 through 9 using only their digits and simple arithmetic. The rules cover cases for divisibility by 2, 3, 4, 5, 6, 7, 8, and 9, including step-by-step digit-sum checks and halving tests for the last two or three digits. Worked examples contrast divisible and not-divisible numbers, and special notes clarify whole numbers and the divisibility status of 0.",{"@graph":14,"@context":72},[15,34,55],{"@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/divisibility-rules-1-9-chart-landscape-divisibility-rules-1-9-chart-landscape-1a/634780/",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/divisibility-rules-1-9-chart-landscape-divisibility-rules-1-9-chart-landscape-1a/634780.png","ImageObject",300,407,{"name":42,"@type":43},"Angel","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-24","2026-10-22",true,{"@type":52,"interactionType":53,"userInteractionCount":30},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"What does it mean for a number to be divisible by 1, and what counts as a whole number?","Question",{"text":62,"@type":63},"Any integer is divisible by 1 because it is a whole number. Whole numbers can be positive or negative.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"How can you test divisibility by 3 and by 9 using digit sums?",{"text":67,"@type":63},"For divisibility by 3, check whether the total of the digits is divisible by 3. For divisibility by 9, check whether the digit sum is divisible by 9.",{"name":69,"@type":60,"acceptedAnswer":70},"What is a quick method to test divisibility by 4 or 8?",{"text":71,"@type":63},"For 4, use a halving method on the last two digits twice and see if the result is a whole number. For 8, apply a similar halving method on the last three digits three times and verify the final result is a whole number.","https://schema.org",{"og:url":32,"og:type":74,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":76,"canonical":32},"index,follow",{"doc_id":78,"site_id":7},634780,1792773443,{"code":4,"msg":81,"data":82},"success",{"doc_id":78,"user_id":83,"nickname":42,"user_avatar":84,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":85,"file_id":86,"file_url":87,"file_type":88,"file_size":89,"view_count":30,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":22,"language":90,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":91,"faqs":92,"seo_title":93,"seo_description":12,"update_tm":94,"read_time":30},687207412472,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Name Date  \n| | | |\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| | | |\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| | | |\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.","cbCainahriMKMlbR","https://ap.wps.com/l/cbCainahriMKMlbR","pdf",237123,"English","# Divisibility by 1 and Whole Number Notes\n# Divisibility by 2 and Examples\n# Divisibility by 3 and Examples\n# Divisibility by 4 and Examples\n# Divisibility by 5 and Examples\n# Divisibility by 6 and Related Rules\n# Divisibility by 7 and Examples\n# Divisibility by 8 and Examples\n# Divisibility by 9 and Examples","[{\"question\":\"What does it mean for a number to be divisible by 1, and what counts as a whole number?\",\"answer\":\"Any integer is divisible by 1 because it is a whole number. Whole numbers can be positive or negative.\"},{\"question\":\"How can you test divisibility by 3 and by 9 using digit sums?\",\"answer\":\"For divisibility by 3, check whether the total of the digits is divisible by 3. For divisibility by 9, check whether the digit sum is divisible by 9.\"},{\"question\":\"What is a quick method to test divisibility by 4 or 8?\",\"answer\":\"For 4, use a halving method on the last two digits twice and see if the result is a whole number. For 8, apply a similar halving method on the last three digits three times and verify the final result is a whole number.\"}]","Divisibility Rules - 1-9 Chart - Landscape - Divisibility Rules 1-9 Chart Landscape 1a | PDF",1792674505,{"code":4,"msg":81,"data":96},[97,101,105,108,113,118,123,128,133,136,140],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":98,"show_sort_weight":99,"slug":100},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":106,"slug":107},70,"exam",{"id":109,"doc_module":4,"doc_module_name":25,"category_name":110,"show_sort_weight":111,"slug":112},5,"Comic",60,"comic",{"id":114,"doc_module":4,"doc_module_name":25,"category_name":115,"show_sort_weight":116,"slug":117},6,"Technology",50,"technology",{"id":119,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":121,"slug":122},7,"Healthcare",40,"healthcare",{"id":124,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":126,"slug":127},8,"Research & Report",30,"research-report",{"id":129,"doc_module":4,"doc_module_name":25,"category_name":130,"show_sort_weight":131,"slug":132},9,"Religion & Spirituality",20,"religion-spirituality",{"id":131,"doc_module":4,"doc_module_name":25,"category_name":134,"show_sort_weight":131,"slug":135},"World Cup","world-cup",{"id":137,"doc_module":4,"doc_module_name":25,"category_name":138,"show_sort_weight":137,"slug":139},10,"Lifestyle","lifestyle",{"id":141,"doc_module":4,"doc_module_name":25,"category_name":142,"show_sort_weight":109,"slug":143},19,"General","general"]