{"id":2601,"date":"2021-10-05T05:14:30","date_gmt":"2021-10-05T05:14:30","guid":{"rendered":"http:\/\/stgwebsite.mindspark.in\/wordpress\/?page_id=2601"},"modified":"2022-01-02T07:05:43","modified_gmt":"2022-01-02T07:05:43","slug":"cube-root-of-1728-by-prime-factorisation-method","status":"publish","type":"page","link":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/cube-root-of-1728-by-prime-factorisation-method\/","title":{"rendered":"Cube root of 1728 by prime factorisation method"},"content":{"rendered":"

[et_pb_section fb_built=”1″ admin_label=”Section” module_class=”mainsec” _builder_version=”4.10.4″ _module_preset=”default” background_color=”#e0f2fd” z_index=”1″ custom_padding=”5px||5px||true|false” locked=”off” collapsed=”off” global_colors_info=”{}”][et_pb_row column_structure=”3_5,2_5″ custom_padding_last_edited=”on|phone” _builder_version=”4.10.8″ _module_preset=”default” background_color=”#FFFFFF” width=”100%” max_width=”1310px” custom_padding=”|51px|40px|51px|false|true” custom_padding_tablet=”” custom_padding_phone=”|40px|30px|40px|false|true” border_radii=”on|10px|10px|10px|10px” global_colors_info=”{}”][et_pb_column type=”3_5″ admin_label=”Column L” _builder_version=”4.9.10″ _module_preset=”default” global_colors_info=”{}”][et_pb_text admin_label=”Acute Angles
\n” _builder_version=”4.11.1″ _module_preset=”default” header_font=”|700|||||||” header_text_align=”left” header_font_size=”50px” header_line_height=”1.18em” custom_padding=”|0px||4px|false|false” header_font_size_tablet=”” header_font_size_phone=”35px” header_font_size_last_edited=”on|phone” global_colors_info=”{}”]<\/p>\n

Cube root of 1728 by prime factorisation method<\/strong><\/h1>\n

[\/et_pb_text][et_pb_text admin_label=”Text” _builder_version=”4.11.3″ _module_preset=”default” text_font_size=”16px” header_2_font=”|600|||||||” header_2_text_color=”#a01414″ header_3_font=”|600|||||||” header_3_text_color=”#7F7F7F” custom_padding=”15px|15px||4px|false|false” global_colors_info=”{}”]When a number is multiplied three times by itself, the answer we get is the cube of that number. \u00a0The cube root is the inverse of the cube i.e., the number is called the cube root. The cube root symbol is denoted by \u221b. The cube root of 5 = \u221b5, Cube root of 11 = \u221b11. So, In this article, we are going to learn about the cube root of 1728 and the prime factorisation method to find its cube root.<\/p>\n

<\/h1>\n

CUBE ROOT OF 1728<\/strong><\/h2>\n

The cube root of 1728 is 12. When 12 is multiplied three times by itself, the product we get is 1728.<\/p>\n

 <\/p>\n

\u00a0How to find the cube root?<\/strong><\/h3>\n

To find the cube root of a number easily, we can use the prime factorisation method. On evaluating the prime factors we\u2019ll make the groups of threes of the same digits. Let us take an example of finding the root of 8. By factorisation of 8, we get 8 = 2 x 2 x 2, which is 23<\/sup>. Now, if we take the cube root on both sides, then the cube of 2 cancels the cube root. Hence, we get the value of \u221b8. Therefore, \u221b8 = 2<\/p>\n

<\/h2>\n

How to calculate the cube root of 1728?<\/strong><\/h2>\n

We will use the prime factorization method to get the cube root of 1728.<\/p>\n

On performing the prime factorization of 1728<\/p>\n

We get, 1728 = 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 3 \u00d7 3 \u00d7 3<\/p>\n

We can also write it as – 23<\/sup> \u00d7 23 <\/sup>\u00d7 33<\/sup> = (2 \u00d7 2 \u00d7 3)3<\/sup><\/p>\n

Thus, the cube root of 1728 by prime factorization is \u221b(2 \u00d7 2 \u00d7 3)3<\/sup> = 12.<\/p>\n

 <\/p>\n

Is the cube root of 1728 a rational number, whole number and integer?<\/strong><\/h3>\n

Cube root of 1728 is rational because \u221b1728 = \u221b(2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 3 \u00d7 3 \u00d7 3) can be expressed as i.e. 12\/1 and q is not equal to 0. Therefore, the cube root of 1728 is a rational number. <\/strong><\/p>\n

We know that the whole number includes all natural numbers as well as 0 and the integer includes all whole numbers as well as their negative counterparts. So, 12 is a whole number and an integer.<\/p>\n

Hence,\u00a0 \u221b1728 = 12 is a rational number, whole number and an integer.[\/et_pb_text][et_pb_text disabled_on=”on|on|on” admin_label=”Sample Questions
\n” _builder_version=”4.10.8″ _module_preset=”default” header_font=”|700|||||||” header_font_size=”28px” custom_padding=”|0px||4px|false|false” disabled=”on” global_colors_info=”{}”]<\/p>\n

Practice Multiple Choice Questions<\/h1>\n

[\/et_pb_text][et_pb_text disabled_on=”on|on|on” admin_label=”Question 1″ _builder_version=”4.11.1″ _module_preset=”default” background_color=”#FFFFFF” custom_padding=”25px|25px|25px|25px|true|true” border_radii=”on|15px|15px|15px|15px” border_width_all=”2px” border_color_all=”#000000″ border_width_top=”4px” border_color_top=”#E02B20″ disabled=”on” global_colors_info=”{}”]<\/p>\n

\n
\n

Questions<\/strong><\/p>\n

Q1.<\/strong> Is 1728 a perfect cube?<\/span>
Ans.<\/strong> When we combine the prime factors of 1728 in groups of threes, we get 2<\/span>3<\/span> \u00d7 2<\/span>3 <\/span>\u00d7 3<\/span>3<\/span> to which if we apply cube root, we get, 12. Therefore, 1728 is a perfect cube.<\/span><\/p>\n<\/div>\n<\/div>\n

[\/et_pb_text][\/et_pb_column][et_pb_column type=”2_5″ module_id=”stickysideR” admin_label=”Column R” _builder_version=”4.10.4″ _module_preset=”default” background_color=”#fdefe0″ custom_padding=”25px|25px|25px|25px|true|true” sticky_position=”top” sticky_offset_top=”-280px” sticky_limit_top=”row” sticky_limit_bottom=”row” sticky_position_tablet=”none” sticky_position_phone=”none” sticky_position_last_edited=”on|desktop” sticky_limit_bottom_tablet=”” sticky_limit_bottom_phone=”” sticky_limit_bottom_last_edited=”on|phone” border_radii=”on|15px|15px|15px|15px” box_shadow_style=”preset3″ global_colors_info=”{}”][et_pb_image src=”https:\/\/eistudymaterial.s3.amazonaws.com\/1080×1080.png” alt=”Free Trial banner” title_text=”Mindspark Free Trial Banner” url=”https:\/\/mindspark.in\/free-trial” align=”center” module_class=”adsimg” _builder_version=”4.11.1″ _module_preset=”default” custom_padding=”||||false|false” border_radii=”on|10px|10px|10px|10px” global_colors_info=”{}” transform_styles__hover_enabled=”on|hover” transform_scale__hover_enabled=”on|hover” transform_translate__hover_enabled=”on|desktop” transform_rotate__hover_enabled=”on|desktop” transform_skew__hover_enabled=”on|desktop” transform_origin__hover_enabled=”on|desktop” transform_scale__hover=”102%|102%”][\/et_pb_image][et_pb_text admin_label=”Explore Other Topics
\n” _builder_version=”4.9.11″ _module_preset=”default” header_font=”|700|||||||” header_font_size=”25px” text_orientation=”center” custom_margin=”0px||0px||true|false” custom_padding=”8px|15px|0px|15px|false|true” locked=”off” global_colors_info=”{}”]<\/p>\n

Explore Other Topics<\/h1>\n

[\/et_pb_text][et_pb_text _builder_version=”4.10.7″ _module_preset=”default” text_line_height=”2.2em” link_font_size=”16px” custom_margin=”||0px||false|false” custom_padding=”10px|15px|10px|28px|true|false” locked=”off” global_colors_info=”{}”]<\/p>\n

\n
Geometry<\/a><\/div>\n
Trigonometry<\/a><\/div>\n
Operations<\/a><\/div>\n
Numbers<\/a><\/div>\n<\/div>\n

[\/et_pb_text][et_pb_text admin_label=”Related Concepts
\n” _builder_version=”4.9.11″ _module_preset=”default” header_font=”|700|||||||” header_font_size=”25px” text_orientation=”center” custom_margin=”0px||0px||true|false” custom_padding=”8px|15px|0px|15px|false|true” locked=”off” global_colors_info=”{}”]<\/p>\n

Related Concepts<\/h1>\n

[\/et_pb_text][et_pb_text _builder_version=”4.13.1″ _module_preset=”default” text_line_height=”2.2em” link_font_size=”16px” custom_margin=”||0px||false|false” custom_padding=”10px|15px|10px|28px|true|false” locked=”off” global_colors_info=”{}”]<\/p>\n

\n
Cube and Cube roots<\/a><\/div>\n
How to find the cube root of a number easily?<\/a><\/div>\n
Cube root by long division method<\/a><\/div>\n<\/div>\n

[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row admin_label=”Row for space” _builder_version=”4.10.6″ _module_preset=”default” locked=”off” global_colors_info=”{}”][et_pb_column type=”4_4″ _builder_version=”4.9.11″ _module_preset=”default” global_colors_info=”{}”][et_pb_divider show_divider=”off” _builder_version=”4.10.4″ _module_preset=”default” global_colors_info=”{}”][\/et_pb_divider][\/et_pb_column][\/et_pb_row][\/et_pb_section][et_pb_section fb_built=”1″ admin_label=”banner and faq Section” module_class=”mainsec2″ _builder_version=”4.10.4″ _module_preset=”default” custom_padding=”40px||0px||false|false” global_colors_info=”{}”][et_pb_row use_custom_gutter=”on” gutter_width=”1″ make_equal=”on” disabled_on=”on|on|off” admin_label=”banner Row” _builder_version=”4.10.4″ _module_preset=”default” background_color=”#fff7d6″ width=”100%” max_width=”1310px” height=”134px” custom_margin=”||50px||false|false” custom_padding=”12px||12px||true|false” border_radii=”on|11px|11px|11px|11px” locked=”off” collapsed=”off” global_colors_info=”{}”][et_pb_column type=”4_4″ _builder_version=”4.9.10″ _module_preset=”default” global_colors_info=”{}”][et_pb_image src=”http:\/\/stgwebsite.mindspark.in\/wordpress\/wp-content\/uploads\/2021\/08\/calloutImage.png” title_text=”calloutImage” show_bottom_space=”off” admin_label=”Image” module_class=”img1″ _builder_version=”4.10.8″ _module_preset=”default” width=”25px” height=”60px” custom_padding=”2px||2px||true|false” global_colors_info=”{}”][\/et_pb_image][et_pb_text module_class=”ftstyle” _builder_version=”4.9.10″ _module_preset=”default” text_orientation=”center” global_colors_info=”{}”]<\/p>\n

\n
\n
\n

Ready to get started ?<\/p>\n<\/div>\n

\n

Start Free Trial<\/a><\/p>\n<\/div>\n<\/div>\n<\/div>\n

[\/et_pb_text][et_pb_image src=”http:\/\/stgwebsite.mindspark.in\/wordpress\/wp-content\/uploads\/2021\/08\/down-circle.png” title_text=”down-circle” show_bottom_space=”off” align=”right” module_class=”img2″ _builder_version=”4.9.10″ _module_preset=”default” width=”44px” height=”18px” custom_padding=”2px||2px||true|false” global_colors_info=”{}”][\/et_pb_image][\/et_pb_column][\/et_pb_row][et_pb_row admin_label=”FAQ Row” _builder_version=”4.9.11″ _module_preset=”default” width=”100%” max_width=”1310px” custom_padding=”|40px||40px|false|true” global_colors_info=”{}”][et_pb_column type=”4_4″ _builder_version=”4.9.11″ _module_preset=”default” global_colors_info=”{}”][et_pb_text admin_label=”FAQ” module_class=”faqstyl” _builder_version=”4.11.3″ _module_preset=”default” text_font_size=”16px” header_font=”|700|||||||” header_text_align=”center” header_line_height=”2.5em” background_color=”#dbedc6″ max_width=”80%” module_alignment=”center” custom_margin=”||||false|false” custom_padding=”30px|25px|30px|25px|true|true” border_radii=”on|10px|10px|10px|10px” global_colors_info=”{}”]<\/p>\n

Frequently Asked Questions\u00a0<\/span><\/span><\/h1>\n

Q1. Is 1728 a perfect cube?<\/span><\/p>\n

Ans. When we combine the prime factors of 1728 in groups of threes, we get 23<\/sup> \u00d7 23 <\/sup>\u00d7 33<\/sup> to which if we apply cube root, we get, 12. Therefore, 1728 is a perfect cube.<\/span><\/p>\n

\n

Q2. How many real cube roots does 1728 have?<\/span><\/p>\n

Ans. 1728 has only one real cube root, which is 12. It should be noted that every real number has only one real cube root.<\/span><\/p>\n

[\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"

Numbers can be expressed in words and we call them number names. The numbers starting from 1 to 20 are written with specific spellings followed by a generic pattern. <\/p>\n","protected":false},"author":7,"featured_media":0,"parent":714,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"yoast_head":"\nCube root of 1728 by prime factorisation method - mydomain<\/title>\n<meta name=\"description\" content=\"We will use the prime factorization method to get the cube root of 1728.By using the prime factorization of 1728 we get - 2^3 \u00d7 2^3 \u00d7 3^3\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/cube-root-of-1728-by-prime-factorisation-method\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Cube root of 1728 by prime factorisation method - mydomain\" \/>\n<meta property=\"og:description\" content=\"We will use the prime factorization method to get the cube root of 1728.By using the prime factorization of 1728 we get - 2^3 \u00d7 2^3 \u00d7 3^3\" \/>\n<meta property=\"og:url\" content=\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/cube-root-of-1728-by-prime-factorisation-method\/\" \/>\n<meta property=\"og:site_name\" content=\"mydomain\" \/>\n<meta property=\"article:modified_time\" content=\"2022-01-02T07:05:43+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"7 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebSite\",\"@id\":\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/#website\",\"url\":\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/\",\"name\":\"mydomain\",\"description\":\"Just another WordPress site\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/cube-root-of-1728-by-prime-factorisation-method\/#webpage\",\"url\":\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/cube-root-of-1728-by-prime-factorisation-method\/\",\"name\":\"Cube root of 1728 by prime factorisation method - mydomain\",\"isPartOf\":{\"@id\":\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/#website\"},\"datePublished\":\"2021-10-05T05:14:30+00:00\",\"dateModified\":\"2022-01-02T07:05:43+00:00\",\"description\":\"We will use the prime factorization method to get the cube root of 1728.By using the prime factorization of 1728 we get - 2^3 \\u00d7 2^3 \\u00d7 3^3\",\"breadcrumb\":{\"@id\":\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/cube-root-of-1728-by-prime-factorisation-method\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/cube-root-of-1728-by-prime-factorisation-method\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/cube-root-of-1728-by-prime-factorisation-method\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Math Concepts\",\"item\":\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Cube root of 1728 by prime factorisation method\"}]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Cube root of 1728 by prime factorisation method - mydomain","description":"We will use the prime factorization method to get the cube root of 1728.By using the prime factorization of 1728 we get - 2^3 \u00d7 2^3 \u00d7 3^3","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/cube-root-of-1728-by-prime-factorisation-method\/","og_locale":"en_US","og_type":"article","og_title":"Cube root of 1728 by prime factorisation method - mydomain","og_description":"We will use the prime factorization method to get the cube root of 1728.By using the prime factorization of 1728 we get - 2^3 \u00d7 2^3 \u00d7 3^3","og_url":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/cube-root-of-1728-by-prime-factorisation-method\/","og_site_name":"mydomain","article_modified_time":"2022-01-02T07:05:43+00:00","twitter_card":"summary_large_image","twitter_misc":{"Est. reading time":"7 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebSite","@id":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/#website","url":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/","name":"mydomain","description":"Just another WordPress site","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"WebPage","@id":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/cube-root-of-1728-by-prime-factorisation-method\/#webpage","url":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/cube-root-of-1728-by-prime-factorisation-method\/","name":"Cube root of 1728 by prime factorisation method - mydomain","isPartOf":{"@id":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/#website"},"datePublished":"2021-10-05T05:14:30+00:00","dateModified":"2022-01-02T07:05:43+00:00","description":"We will use the prime factorization method to get the cube root of 1728.By using the prime factorization of 1728 we get - 2^3 \u00d7 2^3 \u00d7 3^3","breadcrumb":{"@id":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/cube-root-of-1728-by-prime-factorisation-method\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/cube-root-of-1728-by-prime-factorisation-method\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/cube-root-of-1728-by-prime-factorisation-method\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/"},{"@type":"ListItem","position":2,"name":"Math Concepts","item":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/"},{"@type":"ListItem","position":3,"name":"Cube root of 1728 by prime factorisation method"}]}]}},"_links":{"self":[{"href":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/wp-json\/wp\/v2\/pages\/2601"}],"collection":[{"href":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/wp-json\/wp\/v2\/users\/7"}],"replies":[{"embeddable":true,"href":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/wp-json\/wp\/v2\/comments?post=2601"}],"version-history":[{"count":8,"href":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/wp-json\/wp\/v2\/pages\/2601\/revisions"}],"predecessor-version":[{"id":7492,"href":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/wp-json\/wp\/v2\/pages\/2601\/revisions\/7492"}],"up":[{"embeddable":true,"href":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/wp-json\/wp\/v2\/pages\/714"}],"wp:attachment":[{"href":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/wp-json\/wp\/v2\/media?parent=2601"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}