find the cube root of 64 by prime factorization method Cube Root of 64 by Prime Factorization Step 1 Determine the prime factorization of 64 i e 64 2 2 2 2 2 2 Step 2 Group the prime factors of 64 in groups of three each 64 2 2 2 2 2 2 2 3 2 3 Step 3 Use the law of
Question Find the cube root of 64 by prime factorization method Solution Apply prime factorization and calculate cube root The given number is 64 The prime factorization of 64 can be calculated as 2 64 2 32 2 16 2 8 2 4 2 2 1 So 64 2 2 2 2 2 2 Then the cube root of 64 is How to Find Cube Root of 64 Using the prime factorisation method we can find the factors present in the given number If the identical factors are present in a pair of three under the cube root then we can easily take them out as a single digit because the cube of a number will cancel the cube root Let us understand it step by step Step
find the cube root of 64 by prime factorization method
find the cube root of 64 by prime factorization method
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Find The Cube Root By Prime Factorization Method 1 2744 Brainly in
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How To Find Cube Root Of A Number By Prime Factorization How To Find
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To find the cube root of a number use the prime factorization method Find prime factors of the number Divide prime factors into groups containing three factors that are the same Take one factor of each of the groups and multiply them to get the final answer For example let s find all the real cube roots of 3375 3375 Finding prime The following steps can be applied to determine the cube root of any number using the prime factorization method In this case this method is applied to find sqrt 3 64 Step 1 Find the prime factors of the given number that is 64 So the prime factorization of 64 is 64 2 x 2 x 2 x 2 x 2 x 2
Since 2 occurs in triplets 64 is a perfect cube So the cube root of 64 is 2 times 2 4 Note An alternative method can be by simply finding the factors by breaking the number into smaller numbers and then taking the cube root Use prime factorization to determine the cube root of 64 by doing the following steps Step 1 Find the Prime Factorization of the Number 64 which is given as 64 2 2 2 2 2 2 26 Step 2 Make a group of three like numbers Hence there will be two groups containing three 2 in each group Step 3 Now 64 23 23
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We can easily find the cube root of a given number by using the method of factorization To determine the cube root of a given number proceed as given below Step I write the given number as the product of primes Step II Create a group in triplets of the same prime Step III Identify the product of primes selecting one from each triplet In order to simplify cube root of 64 by using prime factorization method you follow these steps Find prime factors of 64 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
The cube root of 64 can be calculated using the prime factorisation method where the factors of 64 are paired in a group of three to form cubes When a number is multiplied by itself and again multiplied by itself then the number is known as a cube number The power written for cube is 3 Example x 3 3 3 x 3 x 3 27 4 4 x 4 x 4 64 There are some steps to solve cube root
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find the cube root of 64 by prime factorization method - The following steps can be applied to determine the cube root of any number using the prime factorization method In this case this method is applied to find sqrt 3 64 Step 1 Find the prime factors of the given number that is 64 So the prime factorization of 64 is 64 2 x 2 x 2 x 2 x 2 x 2