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For imperfect squares, we can use long division method to find the square root. Find an answer to your question “Find the square root of 3364 by prime factorization method ...” in Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions. It can also be written in exponential form as 2 4 x 5 2. We need to factories the number under the root and pair them in two. Finding Square Root by Division Method: When the numbers are large, even the method of finding square root by prime factorization becomes lengthy and difficult. Consider the following steps to find the square root of 529. Below is a factor tree for the number 400. To find the cube root of 91125 by prime factorization, let's take factors of 91125.. 3 l 91125 3 l 30375 3 l 10125 3 l 3375 3 l 1125 3 l 375 5 l 125 For example, the square root of 9 is √9 = √(3×3) = 3. Factor Tree. To overcome this problem we use Long Division Method. Example 7 Find the cube root of 13824 by prime factorisation method. How to Find Square Root By Prime Factorisation? Another way to do prime factorization is to use a factor tree. We can see, 9 is a perfect square and hence it is easier to find the root of such numbers. If we put all of it together we have the factors 2 x 2 x 2 x 2 x 5 x 5 = 400. Find an answer to your question find the square root of 4.0401 by prime factorization method The orange divisor(s) above are the prime factors of the number 400. We see that, 13824 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3Since 2 & 3 occur in triplets∴ 13824 is a perfect cubeCube root of 13824 = 2 × 2 × 2 × 3 = 4 × 6 = 24 Step 1: Prime Factorization of given number 2601 and we get: 2601 = 3 X 3 X 17 X 17Step 2: Pair the same prime factors and we get: = 3 X 3 X 17 X 17Step 3: Coll…