Square root of a number is the value that returns the original number on multiplied by itself. Free Prime Factorization calculator - Find prime factorization of numbers step-by-step This website uses cookies to ensure you get the best experience. $$ \sqrt{581} = 24.1 \approx = 25$$ Step 2: Try to divide 581 by all prime numbers less or equal to 25. Square root of 7921 by prime factorization method 2 See answers Raghav3333 Raghav3333 hi. Example: Check whether a number 581 is prime or not. Finding square root by prime factorisation is an easy method. By using this website, you agree to our Cookie Policy. We need to factories the number under the root and pair them in two. Finding Square Root of A Number By Prime Factorization. Solution: Now we have given the number 625. Square Root Prime Factorization. (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 In this example we will try to divide 581 with : Solution: Step 1: The given number is resolved into its prime factors. Find the square root of 1764 using the prime factorization method. Step 1: Find the square root of 581. 1. priem factorisation of 7921. actually 7921 is a prime number Example: Find prime factorization of 60. Nov 08, 2020 - Calculating Square Root by Prime Factorization - Quantitative Aptitude LR Video | EduRev is made by best teachers of LR. Ex 6.3, 4 Find the square roots of the following numbers by the Prime Factorization Method. The factors of 225 = 3x3x5x5 = 3^2x5^2 Square root of 225 = [3^2x5^2]^0.5 = 3^(2*0.5)*5^(2*0.5) = 3x5 = 15. Square root of 576 = \[2\times 2\times 2\times 3 = 24\] Square Root by Prime Factorization Example Problems. By prime factorisation, we get: 5 | 625 5 | 125 5 | 25 5 | 5 | 1. This video is highly rated by LR students and has been viewed 2185 times. So the prime … ur answer is here . To find: The square root of 625 by prime factorisation method.