{"id":11704,"date":"2020-02-26T16:29:22","date_gmt":"2020-02-26T19:29:22","guid":{"rendered":"http:\/\/elbibliote.com\/resources\/articulosdestacados\/?p=11704"},"modified":"2020-02-26T16:29:22","modified_gmt":"2020-02-26T19:29:22","slug":"multiplos-y-divisores-2","status":"publish","type":"post","link":"https:\/\/elbibliote.com\/resources\/articulosdestacados\/?p=11704","title":{"rendered":"M\u00faltiplos y divisores"},"content":{"rendered":"<p style=\"text-align: justify;\"><span style=\"color: #808080;\"><em>La multiplicaci\u00f3n y la divisi\u00f3n son operaciones b\u00e1sicas de los n\u00fameros naturales. Ambas se relacionan con el concepto de divisibilidad del cual derivan nuevas definiciones: m\u00faltiplos y divisores. Ambos t\u00e9rminos se\u00f1alan la cantidad de veces que un n\u00famero est\u00e1 contenido dentro de otro y la cantidad de veces que un n\u00famero puede dividir a otro.<\/em><\/span><\/p>\n<table>\n<tbody>\n<tr>\n<td><\/td>\n<td style=\"text-align: center;\"><strong>M\u00faltiplos<\/strong><\/td>\n<td style=\"text-align: center;\"><strong>Divisores<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><strong>\u00bfQu\u00e9 son?<\/strong><\/td>\n<td>N\u00fameros que contienen a otros una cantidad entera o exacta de veces.<\/td>\n<td>N\u00fameros que dividen a otros una cantidad entera o exacta de veces.<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><strong>\u00bfCu\u00e1l es el primero?<\/strong><\/td>\n<td>Para cualquier n\u00famero, el primer m\u00faltiplo siempre ser\u00e1 <strong>0<\/strong>.<\/td>\n<td>Para cualquier n\u00famero, el primer divisor siempre ser\u00e1 <strong>1<\/strong>.<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><strong>Propiedad 1<\/strong><\/td>\n<td>Todos los n\u00fameros naturales son m\u00faltiplos de 1 y de s\u00ed mismos.<\/p>\n<p>&nbsp;<\/p>\n<ul style=\"list-style-type: square;\">\n<li><img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?5.1=5\" alt=\"5.1=5\" align=\"absmiddle\" \/><\/li>\n<\/ul>\n<p><em>5 es m\u00faltiplo de 1 y de s\u00ed mismo.<\/em><\/td>\n<td>Todos los n\u00famero son divisores de s\u00ed mismo, excepto el n\u00famero cero.<\/p>\n<p>&nbsp;<\/p>\n<ul style=\"list-style-type: square;\">\n<li><img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?8\\div&amp;space;8=1\" alt=\"8\\div 8=1\" align=\"absmiddle\" \/><\/li>\n<\/ul>\n<p><em>8 es divisor de s\u00ed mismo. El resto es cero, por eso es divisor.<\/em><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><strong>Propiedad 2<\/strong><\/td>\n<td>El <strong>cero<\/strong> es m\u00faltiplo de todos los n\u00fameros.<\/p>\n<p>&nbsp;<\/p>\n<ul style=\"list-style-type: square;\">\n<li><img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?14.0=0\" alt=\"14.0=0\" align=\"absmiddle\" \/><\/li>\n<\/ul>\n<p><em>0 es m\u00faltiplo de 14.<\/em><\/td>\n<td>El n\u00famero <strong>1<\/strong> es divisor de todos los n\u00fameros.<\/p>\n<p>&nbsp;<\/p>\n<ul style=\"list-style-type: square;\">\n<li><img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?9\\div&amp;space;1=9\" alt=\"9\\div 1=9\" align=\"absmiddle\" \/><\/li>\n<\/ul>\n<p><em>1 es divisor de 9.<\/em><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><strong>Propiedad 3<\/strong><\/td>\n<td>Los m\u00faltiplos de un n\u00famero natural son <strong>infinitos<\/strong>.<\/p>\n<p>&nbsp;<\/p>\n<ul style=\"list-style-type: square;\">\n<li><img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?3&amp;space;=&amp;space;\\left&amp;space;\\{0,3,6,9,12,15,18...&amp;space;\\right&amp;space;\\}\" alt=\"3 = \\left \\{0,3,6,9,12,15,18... \\right \\}\" align=\"absmiddle\" \/><\/li>\n<\/ul>\n<\/td>\n<td>Los divisores de un n\u00famero distinto de cero son <strong>finitos<\/strong>.<\/p>\n<p>&nbsp;<\/p>\n<ul style=\"list-style-type: square;\">\n<li><img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?12&amp;space;=&amp;space;\\left&amp;space;\\{1,2,3,4,6,12&amp;space;\\right&amp;space;\\}\" alt=\"12 = \\left \\{1,2,3,4,6,12 \\right \\}\" align=\"absmiddle\" \/><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><strong>Ejemplos<\/strong><\/td>\n<td>\n<ul style=\"list-style-type: square;\">\n<li><img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?3&amp;space;.&amp;space;6=18\" alt=\"3 . 6=18\" align=\"absmiddle\" \/><\/li>\n<\/ul>\n<p><em>18 es m\u00faltiplo de 3 y de 6.<\/em><\/p>\n<p>&nbsp;<\/p>\n<ul style=\"list-style-type: square;\">\n<li><img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?9.4=36\" alt=\"9.4=36\" align=\"absmiddle\" \/><\/li>\n<\/ul>\n<p><em>36 es m\u00faltiplo de 9 y de 4.<\/em><\/td>\n<td>\n<ul style=\"list-style-type: square;\">\n<li><img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?72\\div9&amp;space;=8\" alt=\"72\\div9 =8\" align=\"absmiddle\" \/><\/li>\n<\/ul>\n<p><em>9 es divisor de 72.<\/em><\/p>\n<p>&nbsp;<\/p>\n<ul style=\"list-style-type: square;\">\n<li><img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?36&amp;space;\\div&amp;space;4=&amp;space;9\" alt=\"36 \\div 4= 9\" align=\"absmiddle\" \/><\/li>\n<\/ul>\n<p><em>4 es divisor de 36.<\/em><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>La multiplicaci\u00f3n y la divisi\u00f3n son operaciones b\u00e1sicas de los n\u00fameros naturales. Ambas se relacionan el concepto de divisibilidad del cual derivan nuevas definiciones: m\u00faltiplos y divisores. Ambos t\u00e9rminos se\u00f1alan la cantidad de veces que un n\u00famero est\u00e1 contenido dentro de otro y la cantidad de veces que un n\u00famero puede dividir a otro.<\/p>\n","protected":false},"author":13,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[8686,19],"tags":[9354,452,9349,9348,9351,9352,9355,9347,4442,9353,9350],"_links":{"self":[{"href":"https:\/\/elbibliote.com\/resources\/articulosdestacados\/index.php?rest_route=\/wp\/v2\/posts\/11704"}],"collection":[{"href":"https:\/\/elbibliote.com\/resources\/articulosdestacados\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/elbibliote.com\/resources\/articulosdestacados\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/elbibliote.com\/resources\/articulosdestacados\/index.php?rest_route=\/wp\/v2\/users\/13"}],"replies":[{"embeddable":true,"href":"https:\/\/elbibliote.com\/resources\/articulosdestacados\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=11704"}],"version-history":[{"count":9,"href":"https:\/\/elbibliote.com\/resources\/articulosdestacados\/index.php?rest_route=\/wp\/v2\/posts\/11704\/revisions"}],"predecessor-version":[{"id":12039,"href":"https:\/\/elbibliote.com\/resources\/articulosdestacados\/index.php?rest_route=\/wp\/v2\/posts\/11704\/revisions\/12039"}],"wp:attachment":[{"href":"https:\/\/elbibliote.com\/resources\/articulosdestacados\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=11704"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/elbibliote.com\/resources\/articulosdestacados\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=11704"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/elbibliote.com\/resources\/articulosdestacados\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=11704"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}