Find The Square Root Of 2025 By Prime Factorization

We can write 72 as.

Find the square root of 2025 by prime factorization.

The product obtained in step v is the required square root. So the square root of 2025 is 45 45. 72 2 x 36 now find the smallest prime number that divides into 36. Say you want to find the prime factors of 100 using trial division.

Finding square root by prime factorisation is an easy method. Find primes by trial division and use primes to create a prime factors tree. Take the product of prime factors choosing one factor out of every pair. Take one factor from each pair.

Since the number is a perfect square you will be able to make an exact number of pairs of prime factors. Make pairs of similar factors. Resolve the given number into prime factors. To learn more about squares and square roots enrol in our full course now.

Start with the smallest prime number that divides into 72 in this case 2. To find the square root of a perfect square by using the prime factorization method when a given number is a perfect square. I decompose the number inside the square root into prime factors. Let s find the prime factorization of 72.

Prime factorization example 1. Find the product of factors obtained in step iv. Note the the only prime factors of 72 are 2 and 3 which are prime numbers. 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.

Thew following steps will be useful to find square root of a number by prime factorization. We cover two methods of prime factorization. Ii inside the square root for every two same numbers multiplied one number can be taken out of the square root. Square root by prime factorization method example 1 find the square root.

Iii combine the like square root terms using mathematical operations. Https bit ly exponentsandpowersg8 in this video we will learn. By prime factorisation of 2025 we obtained the factors 3 3 3 3 5 5 so by placing bar on two terms on every number we get 3 3 5 45. Prime factorization by trial division.