[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-634778-105":59,"doc-detail-634778-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-1-10-chart-divisibility-rules-1-10-chart","DIVISIBILITY RULES 1-10 CHART - Divisibility Rules 1-10 Chart","","Divisibility Rules 1–10 Chart provides quick tests for determining whether an integer is divisible by common numbers. It summarizes conditions for even and odd integers, divisibility by 1 and 2, and specific rules for 3 through 10 using digit properties such as last digits, sums of digits, and structured operations like subtracting twice the last digit for 7. Worked examples show both divisible and not-divisible cases, reinforcing correct application. It also clarifies that an integer includes positive or negative values and states how 0 behaves under divisibility.",{"@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-1-10-chart-divisibility-rules-1-10-chart/634778/",{"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-1-10-chart-divisibility-rules-1-10-chart/634778.png","ImageObject",300,407,{"name":92,"@type":93},"Angel","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-02","2026-10-22",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you check divisibility by 2 and distinguish even vs. odd integers?","Question",{"text":112,"@type":113},"An integer is even if its last digit ends in 0, 2, 4, 6, or 8, and odd if its last digit ends in 1, 3, 5, 7, or 9. All even integers are divisible by 2.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What rule determines whether a number is divisible by 3?",{"text":117,"@type":113},"A number is divisible by 3 if the total (sum) of its digits is divisible by 3. Examples compare numbers like 714 (divisible) with numbers where the digit sum is not divisible by 3.",{"name":119,"@type":110,"acceptedAnswer":120},"How do you test divisibility by 7 and 8?",{"text":121,"@type":113},"For 7, double the last digit and subtract it from the number formed by the other digits; repeat if needed. For 8, use the last three digits and check whether that number is divisible by 8, noting that odd numbers fail the even-in-8 condition shown in examples.","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},634778,1792878172,{"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":34,"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 1-10 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.","cbCairrgpq47NBgU","https://ap.wps.com/l/cbCairrgpq47NBgU","pdf",115965,"English","# Divisibility Rules 1–10 Chart\n## Even and odd integers (divisible by 1 and 2)\n## Divisibility tests for 3–6\n## Divisibility tests for 7–10\n## Integer definition and behavior of 0","[{\"question\":\"How do you check divisibility by 2 and distinguish even vs. odd integers?\",\"answer\":\"An integer is even if its last digit ends in 0, 2, 4, 6, or 8, and odd if its last digit ends in 1, 3, 5, 7, or 9. All even integers are divisible by 2.\"},{\"question\":\"What rule determines whether a number is divisible by 3?\",\"answer\":\"A number is divisible by 3 if the total (sum) of its digits is divisible by 3. Examples compare numbers like 714 (divisible) with numbers where the digit sum is not divisible by 3.\"},{\"question\":\"How do you test divisibility by 7 and 8?\",\"answer\":\"For 7, double the last digit and subtract it from the number formed by the other digits; repeat if needed. For 8, use the last three digits and check whether that number is divisible by 8, noting that odd numbers fail the even-in-8 condition shown in examples.\"}]","DIVISIBILITY RULES 1-10 CHART - Divisibility Rules 1-10 Chart | PDF",1792674497]