[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-634773-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-634773-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":73,"head_meta":75,"extra_data":77,"updated_unix":79},105,"en","divisibility-rules-1-10-chart-divisibility-rules","DIVISIBILITY RULES 1-10 CHART - Divisibility Rules","","Divisibility Rules 1-10 Chart provides concise tests for determining whether an integer is divisible by each number from 1 through 10. It explains key criteria using last digits, digit sums, and grouped digit checks, including quick halving methods for divisibility by 4 and 8. The chart includes worked examples showing both divisible and non-divisible cases, and clarifies that only integers count (e.g., non-integers like 12.8 do not qualify).",{"@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-1-10-chart-divisibility-rules/634773/",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/634773.png","ImageObject",300,407,{"name":42,"@type":43},"Angel","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-30","2026-10-22",true,{"@type":52,"interactionType":53,"userInteractionCount":33},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"How do you use the rule for divisibility by 3?","Question",{"text":62,"@type":63},"Add all digits of the integer; if the total is divisible by 3, then the number is divisible by 3. The chart notes the method can be repeated as needed.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"What test is given for divisibility by 4?",{"text":67,"@type":63},"Check whether the last two digits are divisible by 4. A quick method is to halve the last two digits twice and see if you get a whole number.",{"name":69,"@type":60,"acceptedAnswer":70},"How do you determine divisibility by 7 according to the chart?",{"text":71,"@type":63},"Double the last digit, subtract this from the number formed by the remaining digits, and check whether the result is divisible by 7. Repeat if needed.","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},634773,1793085433,{"code":4,"msg":81,"data":82},"success",[83,87,91,94,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":84,"show_sort_weight":85,"slug":86},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":88,"show_sort_weight":89,"slug":90},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":92,"slug":93},70,"exam",{"id":95,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},5,"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":95,"slug":129},19,"General","general",{"code":4,"msg":81,"data":131},{"doc_id":78,"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":33,"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 |\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 of142 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.","cbCaioQheOhfeNra","https://ap.wps.com/l/cbCaioQheOhfeNra","pdf",201538,"English","# DIVISIBILITY RULES 1-10 CHART\n## Divisible by 1-10","[{\"question\":\"How do you use the rule for divisibility by 3?\",\"answer\":\"Add all digits of the integer; if the total is divisible by 3, then the number is divisible by 3. The chart notes the method can be repeated as needed.\"},{\"question\":\"What test is given for divisibility by 4?\",\"answer\":\"Check whether the last two digits are divisible by 4. A quick method is to halve the last two digits twice and see if you get a whole number.\"},{\"question\":\"How do you determine divisibility by 7 according to the chart?\",\"answer\":\"Double the last digit, subtract this from the number formed by the remaining digits, and check whether the result is divisible by 7. Repeat if needed.\"}]","DIVISIBILITY RULES 1-10 CHART - Divisibility Rules | PDF",1792674487]