Square Root Of 24336 By Prime Factorization

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Square root of 24336 by prime factorization.

Find the product of factors obtained in step iv. Free prime factorization calculator find prime factorization of numbers step by step this website uses cookies to ensure you get the best experience. Iii combine the like square root terms using mathematical operations. This is one way there are loads.

Step 1 first resolve the given number into prime factors. The only square root of zero is zero. For example 4 has two square roots. 1 make an initial guess i ll go with 150 here if you square that you get 22500 which is too small 2 divide your square by the number 24336 150 162 23.

The product obtained in step v is the required square root. Square root by prime factorization method example 1 find the square root. Answer 1 of 1. 4 now take the average between your initial guess and the new answer 162 24 150 312 24.

Step 3 the product of prime factors chosen one out of every pair gives the square root of the given number. Step 2 make pairs of similar factors. Take one factor from each pair. A whole number with a square root that is also a whole number is called a perfect square.

312 24 2 156 125 repeat the procedure with your new result. Thew following steps will be useful to find square root of a number by prime factorization. Since the number is a perfect square you will be able to make an exact number of pairs of prime factors. For example find the square root of 24336.

I decompose the number inside the square root into prime factors.