Square Root Of 169 By Prime Factorization

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Square root of 169 by prime factorization.

Given a number 9604. Square root by prime factorization method example 1 find the square root. Lectures by walter lewin. I decompose the number inside the square root into prime factors.

Ii inside the square root for every two same numbers multiplied one number can be taken out of the square root. The n th prime number is denoted as prime n so prime 1 2 prime 2 3 prime 3 5 and so on. Https bit ly exponentsandpowersg8 in this video we will learn. So we divided the number 169 by the numbers 2 3 5 7 11 and 13.

For the love of physics walter lewin may 16 2011 duration. Cubed root of 169. Square root of 9604 is 98. Hence square root of 9604 is 98.

Of those prime numbers only one of them is a factor because when we divided 169 by it the answer came out as a whole number. Thew following steps will be useful to find square root of a number by prime factorization. The number 1 is not a prime number but a divider for every natural number. Square root of 9604 is.

Factorization in a prime factors tree for the first 5000 prime numbers this calculator indicates the index of the prime number. Your prime factorization is the empty product with 0 factors which is defined as having a value of 1. The prime factorization of 9604 is. 0 00 how to fin.

The product obtained in step v is the required square root. It is often taken as the smallest natural number however some authors include the natural numbers from zero. Since the number is a perfect square you will be able to make an exact number of pairs of prime factors. Find the product of factors obtained in step iv.

We have to find the square root of above number by prime factorization method. Take one factor from each pair.