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