[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-634779-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-634779-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-1-10-chart-divisibility-rules","DIVISIBILITY RULES 1-10 CHART - Divisibility Rules","","Divisibility Rules 1–10 chart summarizes clear tests for determining whether an integer is divisible by each number from 1 through 10. It lists criteria for even and odd numbers, divisibility by 2, 3, 4, 5, 6, 7, 8, 9, and 10, including digit-sum and last-digit patterns. The chart also provides worked examples showing when numbers satisfy each rule or fail it, plus notes about integers and the special case of 0.",{"@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-1-10-chart-divisibility-rules/634779/",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-1-10-chart-divisibility-rules/634779.png","ImageObject",300,407,{"name":42,"@type":43},"Angel","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-03","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},"How can you tell if a number is divisible by 2 or 5?","Question",{"text":63,"@type":64},"A number is divisible by 2 if its last digit is even (0, 2, 4, 6, or 8). It is divisible by 5 if its last digit is 0 or 5.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What test is used for divisibility by 3 and 9?",{"text":68,"@type":64},"For 3, add the digits and check whether the total is divisible by 3. For 9, add the digits and check whether the total is divisible by 9.",{"name":70,"@type":61,"acceptedAnswer":71},"How do you determine divisibility by 7?",{"text":72,"@type":64},"Double the last digit and subtract that result from the number formed by the remaining digits. Check whether the new value is divisible by 7, repeating 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},634779,1792860323,{"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},687207412472,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Name Date  \nDIVISIBILITY RULES 1-10 CHART  \n| EVEN NUMBERS | ODD NUMBERS | DIVISIBLE BY 1 | DIVISIBLE BY 2 |\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. | All even integers are divisible by 2. |\n| 328 is even as the last digit is 8.\u003Cbr>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. | 318 is divisible by 2 because the last digit is\u003Cbr>8 which is even.\u003Cbr>513 is not divisible by 2 because it is an odd number. |\n| DIVISIBLE BY 3 | DIVISIBLE BY 4 | DIVISIBLE BY 5 | DIVISIBLE BY 6 |\n| All integers where the total of the digits is divisible by 3 (in the 3 times table) . | All even integers whose last two digits are divisible by 4. | All integers whose last digit is a 0 or 5. | All even integers which are divisible by 3 (see Divisible by 3 test) . |\n| 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 and 14÷3=4 2/3 (not divisible) . | 1328 is divisible by 4 because 28÷4=7.\u003Cbr>870 is not divisible by 4 because 70÷4=17 ½ .\u003Cbr>793 is not divisible by 4 because it is odd. | 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 | DIVISIBLE BY 10 |\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. | All integers where the total of the digits is divisible by 9 (in the 9 times tables) . | All integers whose last digit is 0. |\n| 1057 is divisible by 7 because\u003Cbr>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. 1207 is not divisible by 8 because it is odd. 4286 is not divisible by 8 because 286÷8=35 ¾. | 2745 is divisible by 9 because 2+7+4+5=18 which is divisible by 9.\u003Cbr>702 is divisible by 9 because 7+0+2=9 which is divisible by 9.\u003Cbr>1024 is not divisible by 9 because 1+0+2+4=7 which is not divisible by 9. | 5120 is divisible by 10 because the last digit is 0.\u003Cbr>8039 is not divisible by 10 because the last digit is 9.\u003Cbr>2815 is not divisible by 10 because the last digit is 5. |\n\nAn integer is whole number which can be positive or negative.  \n0 is divisible by any number except itself.","cbCailC2parFX7lp","https://ap.wps.com/l/cbCailC2parFX7lp","pdf",115747,"English","# Divisibility Rules 1-10 Chart\n## Even and odd numbers\n## Divisible by 3, 4, 5, 6\n## Divisible by 7, 8, 9, 10\n## Integer definition and the case of 0","[{\"question\":\"How can you tell if a number is divisible by 2 or 5?\",\"answer\":\"A number is divisible by 2 if its last digit is even (0, 2, 4, 6, or 8). It is divisible by 5 if its last digit is 0 or 5.\"},{\"question\":\"What test is used for divisibility by 3 and 9?\",\"answer\":\"For 3, add the digits and check whether the total is divisible by 3. For 9, add the digits and check whether the total is divisible by 9.\"},{\"question\":\"How do you determine divisibility by 7?\",\"answer\":\"Double the last digit and subtract that result from the number formed by the remaining digits. Check whether the new value is divisible by 7, repeating if needed.\"}]","DIVISIBILITY RULES 1-10 CHART - Divisibility Rules | PDF",1792674500]