[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-634772-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-634772-en":130},{"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":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","divisibility-rules-1-to-10-chart","Divisibility Rules - 1 to 10 Chart","","A concise chart explains divisibility rules for integers from 1 to 10, using digit-based tests to quickly determine whether a number is divisible. It covers conditions for even numbers and divisibility by 2, 3, 4, 5, 6, 7, 8, 9, and 10, including repeated application of digit-sum or last-digit checks. Worked examples show both divisible and non-divisible cases, clarifying when a test requires whole-number results and how to handle odd or non-integer inputs.",{"@graph":14,"@context":73},[15,34,56],{"@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-to-10-chart/634772/",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-to-10-chart/634772.png","ImageObject",300,407,{"name":42,"@type":43},"Quinn Holloway","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-02","2026-10-22",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",5,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What does the divisibility rule for 1 say?","Question",{"text":63,"@type":64},"All integers are divisible by 1. Examples also note that non-integers like 12.8 are not considered because the rule applies to integers.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How can you test whether a number is divisible by 3?",{"text":68,"@type":64},"Add the digits of the integer. If the digit total is divisible by 3, the original number is divisible by 3. The rule can be repeated if needed.",{"name":70,"@type":61,"acceptedAnswer":71},"What is the rule for divisibility by 7?",{"text":72,"@type":64},"Double the last digit and subtract the result from the number made by the other digits. If the result is divisible by 7, so is the original number; repeat if needed.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},634772,1792878170,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":55,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":22,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":30},2336474466712,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","Name Date  \n| EVEN NUMBERS | ODD NUMBERS | DIVISIBLE BY 1 |\n| --- | --- | --- |\n| All integers where the last digit ends in 0, 2, 4, 6 or 8. | All integers where the last digit ends in 1, 3, 5, 7 or 9. | All integers are divisible by 1. |\n| 328 is even as the last digit is 8. 1314 is even as the last digit is 4. | 1907 is odd as the last digit is 7.\u003Cbr>2403 is odd as the last digit is 3. | 147 is divisible by 1.\u003Cbr>12.8 is not divisible by 1 because it is not an integer. |\n| DIVISIBLE BY 2 | DIVISIBLE BY 3 | DIVISIBLE BY 4 |\n| All even integers are divisible by 2. | All integers where the total of the digits is divisible by 3 (in the 3 times table) .\u003Cbr>This rule can be repeated if needed. | 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 geta whole number. |\n| 318 is divisible by 2 because the last | 714 is divisible by 3 because 7+1+4=12 | 1328 is divisible by 4 because 28÷4=7. |\n| digit is 8 which is even. | and 12÷3=4 (divisible) . | 793 is not divisible by 4 because it is odd. |\n| 513 is not divisible by 2 because it is | 3515 is not divisible by 3 because | 870 is not divisible by 4 because half of |\n| an odd number. | 3+5+1+5=14 and 14÷3=4 2/3 (not divisible) . | 70=35 and half of 35=17 ½ . |\n| DIVISIBLE BY 5 | DIVISIBLE BY 6 | DIVISIBLE BY 7 |\n| All integers whose last digit is a 0 or 5. | All even integers which are divisible by 3 (see Divisible by 3 test) . | 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. |\n| 4185 is divisible by 5 because the last | 432 is divisible by 3 because it is even and | 1057 is divisible by 7 because |\n| digit is 5. | the total of the digits is 4+3+2=9 and | 105-2x7=91 . 91÷7=13 (divisible) . |\n| 319 is not divisible by 5 because the | 9÷3=3 (divisible) . | 841 is not divisible by 7 because |\n| last digit is 9. | 158 is not divisible by 3 because 1+5+8=14 and 14÷3=4 2/3 (not divisible) . | 84–2x1=82 . 82÷7=11 5/7 (not divisible) . |\n| DIVISIBLE BY 8 | DIVISIBLE BY 9 | DIVISIBLE BY 10 |\n| 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) .\u003Cbr>This rule can be repeated if needed. | All integers whose last digit is 0. |\n| 5312 is divisible by 8 because half of | 2745 is divisible by 9 because 2+7+4+5=18 | 5120 is divisible by 10 because the last |\n| 312 is 156, half of 156 is 78 and half of | which is divisible by 9. | digit is 0. |\n| 78=39 (a whole number) . | 702 is divisible by 9 because 7+0+2=9 | 8039 is not divisible by 10 because the |\n| 1207 is not divisible by 8 because it is | which is divisible by 9. | last digit is 9. |\n| odd. | 1024 is not divisible by 9 because | 2815 is not divisible by 10 because the |\n| 4284 is not divisible by 8 because half | 1+0+2+4=7 which is not divisible by 9. | last digit is 5. |\n| of 284=142 and half of 142 is 71 and |  |  |\n| half of 71 is 35.5 (not a whole number) |  |  |\n\n• An integer is a whole number which can be positive or negative.","cbCaiqt85LZayTPq","https://ap.wps.com/l/cbCaiqt85LZayTPq","pdf",210455,"English","# Divisibility rules overview\n## Divisible by 1, 2, 3\n## Divisible by 4, 5, 6\n## Divisible by 7, 8, 9\n## Divisible by 10\n## Integer definition","[{\"question\":\"What does the divisibility rule for 1 say?\",\"answer\":\"All integers are divisible by 1. Examples also note that non-integers like 12.8 are not considered because the rule applies to integers.\"},{\"question\":\"How can you test whether a number is divisible by 3?\",\"answer\":\"Add the digits of the integer. If the digit total is divisible by 3, the original number is divisible by 3. The rule can be repeated if needed.\"},{\"question\":\"What is the rule for divisibility by 7?\",\"answer\":\"Double the last digit and subtract the result from the number made by the other digits. If the result is divisible by 7, so is the original number; repeat if needed.\"}]","Divisibility Rules - 1 to 10 Chart | PDF",1792674482]