Square Root Of 24336 By Prime Factorization

For example find the square root of 24336.

Square root of 24336 by prime factorization.

312 24 2 156 125 repeat the procedure with your new result. Solution resolving 24336 into prime factors we get. The product obtained in step v is the required square root. A whole number with a square root that is also a whole number is called a perfect square.

Since the number is a perfect square you will be able to make an exact number of pairs of prime factors. Take one factor from each pair. Square root by prime factorization method example 1 find the square root. Iii combine the like square root terms using mathematical operations.

Step 1 first resolve the given number into prime factors. This is one way there are loads. Free prime factorization calculator find prime factorization of numbers step by step this website uses cookies to ensure you get the best experience. Thew following steps will be useful to find square root of a number by prime factorization.

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. 4 now take the average between your initial guess and the new answer 162 24 150 312 24. By using this website you agree to our cookie policy. Answer 1 of 1.

Find the product of factors obtained in step iv. Ii inside the square root for every two same numbers multiplied one number can be taken out of the square root. For example 4 has two square roots. Step 2 make pairs of similar factors.

Step 3 the product of prime factors chosen one out of every pair gives the square root of the given number.