cube root of 216 by prime factorization Cube Root of 216 by Prime Factorization Prime factorization of 216 is 2 2 2 3 3 3 Simplifying the above expression 2 3 3 3 Simplifying further 6 3 Therefore the cube root of 216 by prime factorization is 2 2 2 3 3 3 1 3 6
Therefore the cube root of 216 by successive subtraction method is 6 Cube Root of 216 by Prime Factorization Method Prime factorization of 216 is found by dividing it repeatedly by prime numbers starting at 2 until we are unable to divide it any further 216 2 2 2 3 3 3 Yes 216 is a perfect cube and when we apply prime factorization we get 6 as the cube root which is a whole number and an integer Is the cube root of 216 odd or even As we know that the cube root of an even number is always even 216 is an even number so the cube root of 216 will be an even number
cube root of 216 by prime factorization
cube root of 216 by prime factorization
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How To Find Cube Root Of 216 By Prime Factorization Method Cube Root
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Finding A Cube Root Of A Perfect Cube Using Prime Factorization YouTube
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Reenu Math This is a step by step video tutorial on How to Find Cube Root of 216 by Prime Factorization Method Cube Root of 216 216 ka cube root For more math video subscribe Reenu Math How to Find Cube Root of 216 by Prime Factorisation Method Class 8 YouTube In this video We will learn to find the cube root of 216 by prime factorisation in a very
Prime factorization method and Long Division method Calculation of Cube Root of 216 Let n be the value obtained from sqrt 3 126 then as per the definition of cubes n times n times n n 3 216 Since 216 is a perfect cube we will use here the prime factorisation method to get the cube root easily When we try to find the smallest prime numbe r that divides 216 we will get So 216 2 2 2 3 3 3 Step 2 Pairing the prime factors in pairs of three and representing them as cubes 216 23 33 Step 3 Taking the cube root on both sides of the above equation we get 3 216 3 2 3 3 3
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In order to simplify cube root of 216 by using prime factorization method you follow these steps Find prime factors of 216 Group the factors in 3 in such a way that each number of the group is same Take one factor from each group Find the product of the factors obtained in step 3 This product is the required cube root Since we know that the prime factorization of 216 is 2 3 3 3 we can rewrite the cube root of 216 like so sqrt 3 216 sqrt 3 2 3 3 3 3 216 3 23 33 When you simplify the right side by grouping the numbers in threes and rewriting them in exponents you can distribute the power to get sqrt 3 2 3 3 3 6 3 23 33 6
Mathematics Cube Root Using Prime Factorisation Question Find the cube root of 216 by factorisation Solution Verified by Toppr Observe 216 2 108 2 2 54 2 2 2 27 2 2 2 3 3 3 2 3 2 3 2 3 6 6 6 Hence 3 216 6 Was this answer helpful 2 Similar Questions Q 1 by finding cube roots by prime factorisation Example 2 Find cube root of 216 using prime factorization method Solution Steps are as follows Step 1 Find Prime Factorization of given number and we get Prime Factorization of 216 2 X 2 X 2 X 3 X 3 X 3 Step 2 Make one group of three same prime factors and we get 2 X 2 X 2 X 3 X 3 X 3 Step 3 Collect one prime factor from each
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Square Root Of 216 How To Find The Square Root Of 216
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cube root of 216 by prime factorization - Cube root of a number can be found either by estimation method or by prime factorization method However these two methods are valid only for perfect cube numbers Properties of the Cube Cubes of odd numbers are odd Cubes of even numbers are even Cubes of numbers that end with 2 will end in 8