# find the square root of 289 by prime factorization method

About Number 2. Step-by-step explanation: Mark as brainlist please. There are two methods by which we can calculate square root without using a calculator: one is the prime factorisation and another is the long division method. Step by step simplification process to get cube roots radical form and derivative:First we will find all factors under the cube root: 4913 has the cube factor of 289.Let's check this width ∛289*1=∛4913. 49. We will learn here both the methods one by one to simplify the root. 147. 7. As you can see the radicals are not in their simplest form.Now extract and take out the cube root ∛289 * ∛1. The value of the square root of 289 is equal to 17. All even numbers are divisible by 2. In radical form, it is represented as √289 = 17. thakur7997 thakur7997 Answer: the factorization of 313 is prime the exponent of prime number 313 is 1.and the factor of 3136 is 2*2*2*2*2*2*7*7=3136. 313 find square root of 3136 by prime factorization method 1 See answer spshah6719 is waiting for your help. Is 289 An Even Number? 882. New questions in Math. (ii) Make the pair of similar factors such that the both factors in … 2. 1. Ex 6.3, 4 Find the square roots of the following numbers by the Prime Factorization Method. 7 $1764 = 2\times 2\times 3\times 3\times 7\times 7$ Step 2: Identical factors are paired. 3. We need to factories the number under the root and pair them in two. 3. Add your answer and earn points. Two is the smallest and the only even prime number. Also it's the only prime which is followed by another prime number three. We can see, 9 is a perfect square and hence it is easier to find the root of such numbers. Is 289 A Prime Number? Find the square root of 1764 using the prime factorization method. Solution: Step 1: The given number is resolved into its prime factors. Square root through prime factorisation - law To find the square root of the given number through prime factorization method we follows the following steps: (i) First we divide the given number in to its prime factor. 2. 441. Square Root by Prime Factorization Example Problems. Square Root Of 289? How to Find Square Root By Prime Factorisation? Square Root Table. Prime Factors Of 289; Is 289 A Composite Number? For example, the square root of 9 is √9 = √(3×3) = 3. Is 289 An Odd Number? √ Square Root Calculator' with step-by-step solution using the Babylonian Method or Hero's Method. 1764. (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 Find the square root of 289. For imperfect squares, we can use long division method to find the square root.