Find The Square Root Of 6561 By Prime Factorization Method

Since the number is a perfect square you will be able to make an exact number of pairs of prime factors.

Find the square root of 6561 by prime factorization method.

The product obtained in step v is the required square root. Find the product of factors obtained in step iv. I decompose the number inside the square root into prime factors. Iii combine the like square root terms using mathematical operations.

The square root of 1764 by prime factorization we get 1764 2 x 2 x 3 x 3 x 7 x 7. 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. Start by testing each integer to see if and how often it divides 100 and the subsequent quotients evenly. We cover two methods of prime factorization.

Since there is an even number of prime factors and they can be grouped in identical pairs. Https bit ly exponentsandpowersg8 in this video we will learn. Finding square root of a number by prime factorization square root of a number is the value that returns the original number on multiplied by itself. Ii inside the square root for every two same numbers multiplied one number can be taken out of the square root.

In this video we have studied how to find squares of a given number by using prime factorization method. Say you want to find the prime factors of 100 using trial division. Ex 6 3 4 find the square roots of the following numbers by the prime factorization method. Thew following steps will be useful to find square root of a number by prime factorization.

Prime factorization by trial division. Take one factor from each pair. Solution 89 7921. 1 1 prime factorization of 7921 89 89 7921 89 89 89 hence the square root of 7921 is 89.

Find primes by trial division and use primes to create a prime factors tree. To learn more about squares and square roots enrol in our full course now. 1764 2 x 2 x 3 x 3 x 7 x 7 2 x 3 x 7 therefore 1764 42.