{"id":2425,"date":"2021-09-30T07:43:57","date_gmt":"2021-09-30T07:43:57","guid":{"rendered":"http:\/\/stgwebsite.mindspark.in\/wordpress\/?page_id=2425"},"modified":"2022-01-02T06:25:18","modified_gmt":"2022-01-02T06:25:18","slug":"36-its-factors-and-methods","status":"publish","type":"page","link":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/36-its-factors-and-methods\/","title":{"rendered":"36 \u2013 ITS FACTORS AND METHODS"},"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
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36 \u2013 ITS FACTORS AND METHODS<\/b><\/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=”#939393″ custom_padding=”15px|15px||4px|false|false” global_colors_info=”{}”]<\/p>\n

FACTORS OF 36<\/strong><\/h2>\n

What are the factors? They are the numbers that divide the number completely leaving no remainders. So, factors of 36 are the numbers that divide the number 36 completely and leave no remainder. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18 and 36. The factors can be written as ordered pairs as well.<\/p>\n\n\n\n\n\n\n\n
1 x 36 = 36<\/td>\n<\/tr>\n
2 x 18 = 36<\/td>\n<\/tr>\n
3 x 12 = 36<\/td>\n<\/tr>\n
4 x 9 = 36<\/td>\n<\/tr>\n
6 x 6 = 36<\/td>\n<\/tr>\n<\/thead>\n<\/table>\n

<\/h2>\n

HOW DO WE FIND THE FACTORS OF 36?<\/strong><\/h2>\n

There are many methods to find the factors of a number. We will use two methods to find the factors of 36 namely prime factorization by long division method and factor tree method.<\/p>\n

PRIME FACTORIZATION USING DIVISION METHOD<\/u><\/em><\/strong><\/h3>\n

The steps to follow for finding factors using the division method are as follow:<\/p>\n

    \n
  1. Find the smallest prime number divisible by the original number so that it leaves no remainder.<\/li>\n
  2. Now, find the prime factor of the quotient received in step 1 and keep repeating this process till the last number is a prime number.<\/li>\n<\/ol>\n

    Look at following prime factorization of 36 \u2013<\/p>\n

    \"\"<\/p>\n

    Therefore, 36 = 2 x 2 x 3 x 3 or<\/p>\n

    36 = 22<\/sup> x\u00a0 32<\/sup><\/p>\n

    PRIME FACTORIZATION USING FACTOR TREE METHOD<\/u><\/em><\/strong><\/h3>\n

    As the name suggests, we make a tree with the original number as the root and the factors as branches. We keep on breaking down the composite numbers till we get the prime factors. Let us see through the following diagram about how to find the factors of 36:<\/p>\n

    \"\"<\/p>\n

    Here, we first break 36 as the product of 6<\/p>\n

    So, 36 = 6 x 6<\/p>\n

    Now 6 is not a prime number so we break 6 into a prime number.<\/p>\n

    6 = 2 x 3<\/p>\n

    36 = 2 x 3 x 2 x 3<\/p>\n

    36 = 22<\/sup> x\u00a0 32<\/sup><\/p>\n

    [\/et_pb_text][et_pb_text disabled_on=”on|on|on” admin_label=”Sample Questions
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    Practice Multiple Choice Questions<\/h1>\n

    [\/et_pb_text][et_pb_text disabled_on=”on|on|on” admin_label=”Question 1″ _builder_version=”4.10.8″ _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

    Question 1: Find the value of the root of 400<\/span>
    Solution: We know that the factors of 400 = 100 x 4<\/span>
    So, <\/span>\u221a400 = \u221a(100 x 4)<\/span>
    Now, we know that \u221a4 = 2 and \u221a100 = 10<\/span>
    Now, we can write the above equation by adding the values<\/span>
    \u221a400 = 2 x 10<\/span>
    \u221a400 = 20<\/span><\/p>\n

    Question 2: Find the square root of 4 by prime factorisation method?<\/span>
    Solution: \u221a4 = \u221a(2 x 2)<\/span>
    \u221a4 = \u221a2<\/span>2<\/span>
    \u221a4 = 2<\/span><\/p>\n<\/div>\n<\/div>\n

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    Explore Other Topics<\/h1>\n

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    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
    Prime Factorisation Method<\/a><\/div>\n
    Factors of 12<\/a><\/div>\n
    Factors of 24<\/a><\/a><\/div>\n<\/div>\n

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    Frequently Asked Questions<\/h1>\n

    1. What are the factors of 36?<\/span><\/p>\n

    Ans: Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36.<\/span><\/p>\n

    2. Is 36 a prime number?<\/span><\/p>\n

    No. Since 36 has many factors, it is not a prime number.<\/span><\/p>\n

    3. Is 36 a composite number?<\/span><\/p>\n

    Yes. 36 is a composite number. It can be written as the product of various other numbers apart from 1 and 36.<\/span><\/p>\n

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

    We will learn about the factors of 36 which are 1, 2, 3, 4, 6, 9, 12, 18 and 36 along with methods to find the factors of 36.<\/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":"\n36 \u2013 ITS FACTORS AND METHODS - mydomain<\/title>\n<meta name=\"description\" content=\"We will learn about the factors of 36 which are 1, 2, 3, 4, 6, 9, 12, 18 and 36 along with methods to find the factors of 36.\" \/>\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\/36-its-factors-and-methods\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"36 \u2013 ITS FACTORS AND METHODS - 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