{"id":115169,"date":"2020-01-29T18:20:30","date_gmt":"2020-01-29T17:20:30","guid":{"rendered":"https:\/\/www.superprof.es\/diccionario\/aritmetica\/factor-comun.html"},"modified":"2026-10-07T17:43:43","modified_gmt":"2026-10-07T15:43:43","slug":"factor-comun","status":"publish","type":"post","link":"https:\/\/www.superprof.es\/diccionario\/matematicas\/aritmetica\/factor-comun.html","title":{"rendered":"Factor com\u00fan"},"content":{"rendered":"<section style=\"\">\r\n          \n\n<p class=\"wp-block-paragraph\">Si varios <strong>sumandos<\/strong> tienen un <strong>factor com\u00fan<\/strong>, podemos transformar la <strong>suma<\/strong> en <strong>producto<\/strong> extrayendo dicho <strong>factor<\/strong>.<\/p>\n\n\r\n            \n\n<p class=\"wp-block-paragraph\"><strong>a \u00b7 b + a \u00b7 c = a \u00b7  (b + c)<\/strong><\/p>\n\n\r\n            \n\n<p class=\"wp-block-paragraph\">2 \u00b7 3 + 2 \u00b7 5 = 2 \u00b7 (3 + 5)<\/p>\n\n\r\n            \n\n<p class=\"wp-block-paragraph\">6 + 10 = 2 \u00b7 8<\/p>\n\n\r\n            \n\n<p class=\"wp-block-paragraph\">16 = 16<\/p>\n\n\r\n            \r\n            \n\n<p class=\"wp-block-paragraph\"><strong>a \u00b7 b \u2212 a \u00b7 c = a \u00b7  (b \u2212  c)<\/strong><\/p>\n\n\r\n            \n\n<p class=\"wp-block-paragraph\">2 \u00b7 5 \u2212  2 \u00b7 3 = 2 \u00b7 (5 \u2212 3)<\/p>\n\n\r\n            \n\n<p class=\"wp-block-paragraph\"> 10 \u2212 6  = 2 \u00b7 2<\/p>\n\n\r\n            \n\n<p class=\"wp-block-paragraph\">4 = 4<\/p>\n\n\r\n            \n\n<p class=\"wp-block-paragraph\">Sacar factor com\u00fan es el proceso inverso a la <strong>propiedad distributiva<\/strong>.<\/p>\n\n\r\n           \r\n            \n\n<h2 class=\"wp-block-heading\">Ejemplos<\/h2>\n\n\r\n            \r\n\t\t\t\t\t\t\n\n<p class=\"wp-block-paragraph\">\n\n<h2 class=\"wp-block-heading\">1<\/h2>\n\n\r\n\t\t\t\t\t\t17 \u00b7 38 + 17 \u00b7 12 = 17 (38 + 12) <\/p>\n\n\r\n\t\t\t  \n\n<p class=\"wp-block-paragraph\">\n\n<h2 class=\"wp-block-heading\">2<\/h2>\n\n\r\n\t\t\t  6 \u00b7 59  + 4 \u00b7 59  = 59 (6 + 4)<\/p>\n\n\r\n                            \n\n<p class=\"wp-block-paragraph\">\r\n\t\t\t\t\t\t\t\n\n<h2 class=\"wp-block-heading\">3<\/h2>\n\n7 \u00b7 5 \u2013 3 \u00b7 5 + 16 \u00b7 5 \u2013 5 \u00b7 4 = 5 (7 \u2212 3 + 16 \u2212 4) <\/p>\n\n\r\n\t\t\t\t\t\t    \n\n<p class=\"wp-block-paragraph\">\r\n\t\t\t\t\t\t\t\n\n<h2 class=\"wp-block-heading\">4<\/h2>\n\n6 \u00b7 4 \u2013 4 \u00b7 3 + 4 \u00b7 9 \u2013 5 \u00b7 4 = 4 (6 \u2212 3 + 9 \u2212 5) <\/p>\n\n\r\n\t\t\t            \r\n                                 \r\n\r\n\t\t\t\t\t\t\t\r\n                            \n\n<p class=\"wp-block-paragraph\"><strong>Sacar factor com\u00fan a un polinomio<\/strong> consiste en aplicar la <strong>propiedad distributiva<\/strong>.<\/p>\n\n\r\n                        \n\n<p class=\"wp-block-paragraph\"><strong>a  \u00b7 x + b  \u00b7 x + c  \u00b7 x = x (a + b + c) <\/strong><\/p>\n\n\r\n                        \n\n<p class=\"wp-block-paragraph\">Una <strong>ra\u00edz del polinomio<\/strong> ser\u00e1  <strong>x = 0<\/strong><\/p>\n\n\r\n                        \n\n<h2 class=\"wp-block-heading\">Doble extracci\u00f3n de factor com\u00faun<\/h2>\n\n\r\n                        \n\n<p class=\"wp-block-paragraph\"><strong>x<sup>2<\/sup>  \u2212  ax \u2212 bx  + ab = x (x  \u2212 a)  \u2212 b (x  \u2212 a) = (x  \u2212 a)  \u00b7 (x  \u2212 b)<\/strong> <\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><br \/><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Ejemplos<\/h2>\n\n\r\n                            \n\n<p class=\"wp-block-paragraph\">\n\n<h2 class=\"wp-block-heading\">1<\/h2>\n\n<img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/factor-com&uacute;n-1.gif\" alt=\"Explicaciones y ejemplos de factor com&uacute;n - 1\"\/><\/p>\n\n\r\n  \n\n<p class=\"wp-block-paragraph\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/factor-com&uacute;n-2.gif\" alt=\"Explicaciones y ejemplos de factor com&uacute;n - 2\"  ><\/p>\n\n \r\n\t\t\t\t\t\t\t\t\t\t\t\n\n<p class=\"wp-block-paragraph\">\n\n<h2 class=\"wp-block-heading\">2<\/h2>\n\nxy  \u2212 2x  \u2212 3y + 6 = <\/p>\n\n\r\n  \n\n<p class=\"wp-block-paragraph\">= x \u00b7 (y \u2212 2)   \u2212 3 \u00b7 (y \u2212 2) = <\/p>\n\n\r\n\t\t\t\t\t\t\n\n<p class=\"wp-block-paragraph\">= (x \u2212 3)  \u00b7 (y \u2212 2)<\/p>\n\n\n<\/section>","protected":false},"excerpt":{"rendered":"<p>Si varios sumandos tienen un factor com\u00fan, podemos transformar la suma en producto extrayendo dicho factor. a \u00b7 b + a \u00b7 c = a \u00b7 (b + c) 2 \u00b7 3 + 2 \u00b7 5 = 2 \u00b7 (3 + 5) 6 + 10 = 2 \u00b7 8 16 = 16 a \u00b7 b [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_seopress_robots_primary_cat":"","_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","advgb_blocks_editor_width":"","advgb_blocks_columns_visual_guide":"","footnotes":""},"categories":[377],"tags":[361],"class_list":["post-115169","post","type-post","status-publish","format-standard","hentry","category-aritmetica","tag-f"],"acf":[],"author_meta":{"display_name":"Andra","author_link":"https:\/\/www.superprof.es\/diccionario\/author\/andra"},"featured_img":null,"coauthors":[],"tax_additional":{"categories":{"linked":["<a href=\"https:\/\/www.superprof.es\/diccionario\/matematicas\/aritmetica\" class=\"advgb-post-tax-term\">Aritm\u00e9tica<\/a>"],"unlinked":["<span class=\"advgb-post-tax-term\">Aritm\u00e9tica<\/span>"]},"tags":{"linked":["<a href=\"https:\/\/www.superprof.es\/diccionario\/matematicas\/aritmetica\" class=\"advgb-post-tax-term\">f<\/a>"],"unlinked":["<span class=\"advgb-post-tax-term\">f<\/span>"]}},"comment_count":"0","relative_dates":{"created":"Publicado 7 a\u00f1os hace","modified":"Actualizado 2 semanas hace"},"absolute_dates":{"created":"Publicado el 29 enero 2020","modified":"Actualizado el 7 octubre 2026"},"absolute_dates_time":{"created":"Publicado el 29 enero 2020 18 h 20 min","modified":"Actualizado el 7 octubre 2026 17 h 43 min"},"featured_img_caption":"","series_order":"","_links":{"self":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/115169","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/comments?post=115169"}],"version-history":[{"count":4,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/115169\/revisions"}],"predecessor-version":[{"id":141283,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/115169\/revisions\/141283"}],"wp:attachment":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/media?parent=115169"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/categories?post=115169"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/tags?post=115169"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}