Square Root Of 24336 By Prime Factorization

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

Square root of 24336 by prime factorization.

Since the number is a perfect square you will be able to make an exact number of pairs of prime factors. Iii combine the like square root terms using mathematical operations. 4 now take the average between your initial guess and the new answer 162 24 150 312 24. Free prime factorization calculator find prime factorization of numbers step by step this website uses cookies to ensure you get the best experience.

The only square root of zero is zero. Ii inside the square root for every two same numbers multiplied one number can be taken out of the square root. The square root radical is simplified or in its simplest form only when the radicand has no square factors left. A whole number with a square root that is also a whole number is called a perfect square.

The product obtained in step v is the required square root. This is one way there are loads. Find the product of factors obtained in step iv. 312 24 2 156 125 repeat the procedure with your new result.

Answer 1 of 1. 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. Square root by prime factorization method example 1 find the square root. Step 3 the product of prime factors chosen one out of every pair gives the square root of the given number.

Step 1 first resolve the given number into prime factors. For example find the square root of 24336. Step 2 make pairs of similar factors. Solution resolving 24336 into prime factors we get.

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