{"id":1172,"date":"2020-01-23T08:50:28","date_gmt":"2020-01-23T11:50:28","guid":{"rendered":"https:\/\/rachacuca.com.br\/blog\/?p=1172"},"modified":"2020-01-24T18:21:06","modified_gmt":"2020-01-24T21:21:06","slug":"fatorial-de-50","status":"publish","type":"post","link":"https:\/\/rachacuca.com.br\/blog\/enigmas\/fatorial-de-50\/","title":{"rendered":"Fatorial de 50"},"content":{"rendered":"\n<p>Explique, sem realizar efetivamente o c\u00e1lculo, porque 30414093201713378043612608166064768844377641568960512078291027000 n\u00e3o pode ser o valor de 50! (50 fatorial).<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/rachacuca.com.br\/blog\/wp-content\/uploads\/2020\/01\/garoto-pensando-problema-de-matematica-1024x1024.jpg\" alt=\"\" class=\"wp-image-1353\" width=\"512\" height=\"512\" srcset=\"https:\/\/rachacuca.com.br\/blog\/wp-content\/uploads\/2020\/01\/garoto-pensando-problema-de-matematica-1024x1024.jpg 1024w, https:\/\/rachacuca.com.br\/blog\/wp-content\/uploads\/2020\/01\/garoto-pensando-problema-de-matematica-300x300.jpg 300w, https:\/\/rachacuca.com.br\/blog\/wp-content\/uploads\/2020\/01\/garoto-pensando-problema-de-matematica-150x150.jpg 150w, https:\/\/rachacuca.com.br\/blog\/wp-content\/uploads\/2020\/01\/garoto-pensando-problema-de-matematica-768x768.jpg 768w, https:\/\/rachacuca.com.br\/blog\/wp-content\/uploads\/2020\/01\/garoto-pensando-problema-de-matematica-1536x1536.jpg 1536w, https:\/\/rachacuca.com.br\/blog\/wp-content\/uploads\/2020\/01\/garoto-pensando-problema-de-matematica-2048x2048.jpg 2048w\" sizes=\"auto, (max-width: 512px) 100vw, 512px\" \/><\/figure><\/div>\n\n\n\n<div class=\"sp-wrap sp-wrap-default\">\n<div class=\"sp-head\" title=\"Expand\">\nDica\n<\/div>\n<div class=\"sp-body folded\">\n<p>O fatorial de um n\u00famero natural <em>n<\/em>, representado por <em>n!<\/em>, \u00e9 o produto de todos os inteiros positivos menores ou iguais a n.<\/p>\n<div class=\"spdiv\">[collapse]<\/div>\n<\/div>\n<\/div>\n\n\n\n\n<div class=\"sp-wrap sp-wrap-default\">\n<div class=\"sp-head\" title=\"Expand\">\nResposta\n<\/div>\n<div class=\"sp-body folded\">\n<p>50 fatorial inclui em seus fatores 10, 20, 30, 40 e 50. Consequentemente, o valor de 50 fatorial deve terminar com, pelo menos, 5 \u201czeros\u201d ao fim. O n\u00famero dado tem apenas 3 \u201czeros\u201d no final, n\u00e3o podendo ser, portanto, o valor correto de 50 fatorial. O valor certo de 50 fatorial \u00e9 o seguinte:<br \/>\n30414093201713378043612608166064768844377641568960512000000000000.<\/p>\n<div class=\"spdiv\">[collapse]<\/div>\n<\/div>\n<\/div>\n\n\n\n\n<p>Dificuldade: M\u00e9dia<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Explique porque o valor do fatorial de 50 n\u00e3o est\u00e1 correto.<\/p>\n","protected":false},"author":2,"featured_media":1353,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_seopress_robots_primary_cat":"none","_seopress_titles_title":"Fatorial de 50","_seopress_titles_desc":"Explique porque o valor do fatorial de 50 n\u00e3o est\u00e1 correto.","_seopress_robots_index":"","ub_ctt_via":"","footnotes":""},"categories":[3],"tags":[18],"class_list":["post-1172","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-enigmas","tag-desafios-de-matematica","generate-columns","tablet-grid-50","mobile-grid-100","grid-parent","grid-33"],"featured_image_src":"https:\/\/rachacuca.com.br\/blog\/wp-content\/uploads\/2020\/01\/garoto-pensando-problema-de-matematica.jpg","author_info":{"display_name":"Tiago","author_link":"https:\/\/rachacuca.com.br\/blog\/author\/tiago\/"},"_links":{"self":[{"href":"https:\/\/rachacuca.com.br\/blog\/wp-json\/wp\/v2\/posts\/1172","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/rachacuca.com.br\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/rachacuca.com.br\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/rachacuca.com.br\/blog\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/rachacuca.com.br\/blog\/wp-json\/wp\/v2\/comments?post=1172"}],"version-history":[{"count":5,"href":"https:\/\/rachacuca.com.br\/blog\/wp-json\/wp\/v2\/posts\/1172\/revisions"}],"predecessor-version":[{"id":1355,"href":"https:\/\/rachacuca.com.br\/blog\/wp-json\/wp\/v2\/posts\/1172\/revisions\/1355"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/rachacuca.com.br\/blog\/wp-json\/wp\/v2\/media\/1353"}],"wp:attachment":[{"href":"https:\/\/rachacuca.com.br\/blog\/wp-json\/wp\/v2\/media?parent=1172"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/rachacuca.com.br\/blog\/wp-json\/wp\/v2\/categories?post=1172"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/rachacuca.com.br\/blog\/wp-json\/wp\/v2\/tags?post=1172"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}