Solution 89 7921.
Find the square root of 6561 by prime factorization method.
I decompose the number inside the square root into prime factors.
1 1 prime factorization of 7921 89 89 7921 89 89 89 hence the square root of 7921 is 89.
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.
We cover two methods of prime factorization.
Finding square root by prime factorisation is an easy method.
Square root by prime factorization method example 1 find the square root.
The square root of 1764 by prime factorization we get 1764 2 x 2 x 3 x 3 x 7 x 7.
1764 2 x 2 x 3 x 3 x 7 x 7 2 x 3 x 7 therefore 1764 42.
0 00 how to fin.
Find the product of factors obtained in step iv.
Take one factor from each pair.
Find primes by trial division and use primes to create a prime factors tree.
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.
In this video we have studied how to find squares of a given number by using prime factorization method.
Https bit ly exponentsandpowersg8 in this video we will learn.
Prime factorization by trial division.
Ex 6 3 4 find the square roots of the following numbers by the prime factorization method.
Since the number is a perfect square you will be able to make an exact number of pairs of prime factors.
Since there is an even number of prime factors and they can be grouped in identical pairs.
Thew following steps will be useful to find square root of a number by prime factorization.
Say you want to find the prime factors of 100 using trial division.
The product obtained in step v is the required square root.
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