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