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By utilizing clues related to factors, multiples, and even/odd number properties, learners identify specific values from a provided list. The document includes two primary puzzles that require deduction based on mathematical properties, such as divisibility by 2, 3, 4, 5, 6, and 9. This resource is suitable for classroom practice or homework, helping students refine their number theory skills through interactive, problem-based learning. An answer key is provided to facilitate self-assessment and verification of the logic applied to each riddle.",{"@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-puzzle-1-math-learning-worksheet/634782/",{"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-puzzle-1-math-learning-worksheet/634782.png","ImageObject",300,407,{"name":92,"@type":93},"Angel","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-10-22",true,{"@type":102,"interactionType":103,"userInteractionCount":24},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How can you determine if a number is divisible by 3?","Question",{"text":112,"@type":113},"A number is divisible by 3 if the sum of its digits is divisible by 3.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What are the conditions to solve the first puzzle?",{"text":117,"@type":113},"The number must be even, divisible by 3, have a factor of 4, and not be divisible by 5.",{"name":119,"@type":110,"acceptedAnswer":120},"Why is 657 the answer to the second puzzle?",{"text":121,"@type":113},"It is not divisible by 2, not a multiple of 5, divisible by 3 but not 6, and has a factor of 9.","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},634782,1793032101,{"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":24,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"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":24},687207412472,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Name Date  \nDIVISIBILITY RULES PUZZLE 1  \nUse the clues to find the correct fraction from the 8 possibilities.  \n• I am an even number.  \n• I am divisible by 3.  \n• One of my factors is 4 .  \n• I am not divisible by 5.  \n• Who am I?    \nA 324  \nE 245  \nB 183  \nF 476  \nC 657  \nG 906  \nD 540  \nH 751  \n• I am not divisible by 2 .  \n• I am not a multiple of 5 .  \n• I am divisible by 3 but not by 6 .  \n• One of my factors is 9 .  \n• Who am I?    \nName Date  \nDIVISIBILITY RULES PUZZLE 1 ANSWERS  \n• I am an even number.  \n• I am divisible by 3.  \n• One of my factors is 4.  \n• I am not divisible by 5.  \n• Who am I? A) 324  \nA 324  \nE 245  \nB 183  \nF 476  \nC 657  \nG 906  \nD 540  \nH 751  \n• I am not divisible by 2.  \n• I am not a multiple of 5.  \n• I am divisible by 3 but not by 6.  \n• One of my factors is 9.  \n• Who am I? C) 657","cbCaicaHlI5o3lQp","https://ap.wps.com/l/cbCaicaHlI5o3lQp","pdf",199522,"English","# Divisibility Rules Puzzle 1\n## Answer Key","[{\"question\":\"How can you determine if a number is divisible by 3?\",\"answer\":\"A number is divisible by 3 if the sum of its digits is divisible by 3.\"},{\"question\":\"What are the conditions to solve the first puzzle?\",\"answer\":\"The number must be even, divisible by 3, have a factor of 4, and not be divisible by 5.\"},{\"question\":\"Why is 657 the answer to the second puzzle?\",\"answer\":\"It is not divisible by 2, not a multiple of 5, divisible by 3 but not 6, and has a factor of 9.\"}]","Divisibility Rules Puzzle 1 - Math Learning Worksheet | PDF",1792674508]