{"id":2560,"date":"2021-10-04T05:52:58","date_gmt":"2021-10-04T05:52:58","guid":{"rendered":"http:\/\/stgwebsite.mindspark.in\/wordpress\/?page_id=2560"},"modified":"2022-01-02T07:11:39","modified_gmt":"2022-01-02T07:11:39","slug":"cube-root-of-15625-by-prime-factorisation-method","status":"publish","type":"page","link":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/cube-root-of-15625-by-prime-factorisation-method\/","title":{"rendered":"Cube Root of 15625 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=”4.10.6″ _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=”4.10.8″ _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 15625 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 we multiply a number three times by itself, the answer we get is the cube of that number. The number that is multiplied three times is the cube root of the answer. For example, the cube root of 27 is 3 ( as 3, when multiplied thrice by itself, gives 27). So, In this article, we are going to learn about the cube root of 15625 and the prime factorisation method to find the cube root of 15625.<\/p>\n

CUBE ROOT OF 15625<\/strong><\/h2>\n

The cube root of 15625 is equal to 25. It means that the product of 25 thrice by itself gives the number 15625.<\/p>\n

 <\/p>\n

Method of finding cube root of 15625<\/strong><\/h2>\n

<\/h3>\n

Prime factorisation method<\/strong><\/h3>\n

Prime factorization is a method that involves finding the cube root by using its prime factors. The following steps are taken to find the cube root of a number using this method-.<\/p>\n

~Select a number whose cube root needs to be found, here we take the number 15625.<\/p>\n

~ Divide 15625 with the lowest prime number. Once the number is not divisible by that first selected prime number choose another higher prime number and continue the process until the quotient thus obtained also results in a prime number. The last quotient at the end of the process should result in 1.<\/p>\n\n\n\n\n\n\n\n\n\n
5<\/td>\n15625<\/td>\n<\/tr>\n
5<\/td>\n3125<\/td>\n<\/tr>\n
5<\/td>\n625<\/td>\n<\/tr>\n
5<\/td>\n125<\/td>\n<\/tr>\n
5<\/td>\n25<\/td>\n<\/tr>\n
5<\/td>\n5<\/td>\n<\/tr>\n
<\/td>\n1<\/td>\n<\/tr>\n<\/thead>\n<\/table>\n

 <\/p>\n

~ Here we can see that 15625 = 5x5x5x5x5x5<\/p>\n

~We can see that when we form a group of 3 numbers, it will result in 53<\/sup> x 53<\/sup>. On applying the cube root we calculate the product by taking one value from each group and the result is the cube root. Here it will be 25.<\/p>\n

In this way, we can find the cube root of any number with the help of the prime factorisation method.[\/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

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

Q1. When 343 is divided by 7 and 15 is added to the number, we get the cube of which number?<\/span>
\nSol. The prime factors of 343 = 7\u00d77\u00d77<\/span>
\n\u00a0When 343 is divided by 7, we get =<\/span> 7\u00d77\u00d77<\/span>7<\/span>= 49.<\/span>
\n\u00a0When 15 is added to 49, we get =<\/span> 64\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>
\n\u00a0The prime factors of 64 =\u00a0 2\u00d72\u00d72\u00d72\u00d72\u00d72<\/span>
\n\u00a0When we form the triplets of 2, we get = 2<\/span>3<\/span>\u00d72<\/span>3<\/span> = (2\u00d72)<\/span>3<\/span> = 4<\/span>3<\/span>
\n\u00a0On applying the cube root on 4<\/span>3<\/span>, we get 4, which is the cube root of 64.<\/span><\/p>\n<\/div>\n<\/div>\n

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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

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

[\/et_pb_text][et_pb_text admin_label=”Related Concepts
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Related Concepts<\/h1>\n

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\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

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Frequently Asked Questions<\/h1>\n

Q1. Is 25 a rational, whole number and integer?<\/span><\/p>\n

Ans. First of all, we will see whether it is a rational number or not. For rational number, we need to see whether it can be written in the form of p\/q <\/span>with p and q being integers and q\u22600<\/span>, so we can see that 25\/1 is written in the form of p\/q<\/span> and q\u22600. So, it is a rational number.<\/span><\/p>\n

We know that the whole numbers include 0 and all natural numbers. Therefore, 25 is a whole number. An integer contains all whole numbers as well as their negatives, so 25 is also an integer.<\/span><\/p>\n

Q2. How many complex cube roots does 15625 have?<\/span><\/p>\n

Ans. Every non-zero real number has one real cube root and two complex cube roots. 15625 is a non-zero real number so it also has two complex cube roots.<\/span><\/p>\n

Q3. What is the nearest perfect cube after 15625?<\/span><\/p>\n

Ans. 25 is the cube root of 15625. The next perfect cube after 15625 is the cube of 26, which is 17576. <\/span><\/p>\n

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

The cube root of 15625 is 25. On applying the prime factorisation on 15625, we get (53 x 53). On applying the cube root, we shall get the result as 25.<\/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 15625 by prime factorisation method - mydomain<\/title>\n<meta name=\"description\" content=\"The cube root of 15625 is 25. On applying the prime factorisation on 15625, we get (53 x 53). 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