Ask your question. Join now. ramniwas5 ramniwas5 08.07.2018 Math Secondary School +5 pts. Log in. Prime Factorization Method for Finding Square Roots Examples With a Square Root Without a Square Root Determine the square root of 196. (ii) Make the pair of similar factors such that the both factors in each pair are equal. Algebra . Ex 6.3, 4 Find the square roots of the following numbers by the Prime Factorization Method. (i) 729We use prime factorization to find square root.Thus, 729 = 3 × 3 × 3 × 3 × 3 × 3Square root of 729 = 3 × 3 × 3 = 9 × 3 = 27 Ex 6.3, 4 Find the square roots of t Ask your question . Find an answer to your question find the square root of 15876 by using prime factorization method 1. (iv) Find the product of factor that obtained by taking one factor from each pair. To find the square root of the given number through prime factorization method we follows the following steps: (i) First we divide the given number in to its prime factor. Notice 196 = (2)(2)(7)(7) Since there is an even number of prime factors and they can be grouped in identical pairs we know that 1. Log in. (iii) Take one factor from pair. Finding Square Root of A Number By Prime Factorization Square root of a number is the value that returns the original number on multiplied by itself. Join now. Finding square root by prime factorisation is an easy method. Worksheet on square root using prime factorization method is useful for the students to prepare well for the exams. squares and square roots asked Apr 29 in Squares And Square Roots by Vevek01 (47.2k points) Find the square root of 15876 by using the method of prime factorization. =color(blue)(216 We can find the square root by prime factorising 15876 (expressing it as a product of its prime factors) sqrt(15876)=sqrt(2 *2 *3 *3 *3 *3 *7 *7 =sqrt(2^2 *3^2 *3^2 *7^2 =2 * 3* 3*7 =color(blue)(216 .