36 ÷ 2 = 18. (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 Join now. Therefore, if we take the square root on both the sides, we get; √144 = √(2x2x2x2x3x3) Since the number is a perfect square, you will be able to make an exact number of pairs of prime factors. Please write the result of L.C.M (prime factorization) also. 3. It can be observed that the prime factors in the prime factorisation of a square number, occur twice the number of times, it occurs in the number itself. Step 1: The first step is to divide the number 144 with the smallest prime factor, say 2. (vii) 5776 Rough 144 × 4 = 576 145 × 5 = 725 146 × 6 = 876 Therefore, √5776 = 76 Ex 6.4, 1 Find the square root of each of the following numbers by Division method. Step 3: You will get a fractional number if you divide 9 by 2. What is the prime factorization of 144 [SOLVED] The Prime Factorization of 144 Answer: 2 4 • 3 2 144 is not a prime number. This method is easy to apply, as we have learned about prime factors in our earlier classes. (ii) Inside the square root, for every two same numbers multiplied, one number can be taken out of the square root. The process will start with, 144 ÷ 2 = 72. Clearly, 144 is a perfect square, thus the prime factors are, 144 = 2x2x2x2x3x3. Square Root by Prime Factorization Example Problems. (ii) Make the pair of similar factors such that the both factors in … Is 144 a composite number? 1. Is 144 a prime number? Find the square root of 169 by repeated subtraction method - 4440731 1. 49. Let us consider the prime factors of a number and its square. Log in. What are the factors of 144? Now let us know how to calculate the prime factors of a number. 9 ÷ 3 = 3 147. Prime Factorisation. 18 ÷ 2 = 9. In prime factorisation, we have to find the prime factors in the given number. 144 ÷ 2 = 72. Log in. Step V: Find the product of factors obtained in step IV. 2. Find the square root of 27225 by prime factorization 2 See answers gaurav2013c gaurav2013c 3 | 27225 3 | 9075 5 | 3025 5 | 605 11 | 121 11 | 11 27225 = 3 × 3 × 5 × 5 × 11 × 11 => sqrt ( 27225) = 3 × 5 × 11 => sqrt (27225) = 165 Brainly User Brainly User HENCE , THE SQUARE ROOT OF THIS NUMBER BY P.F is. Is 144 an odd number? 3. New questions in Math. So continue with the next prime factor, say 3. For example, let us find the prime … 144 = 2 × 2 × 3 × 2 × 2 × 3. (viii) 7921 Rough 167 × 7 = 1169 168 × 8 = 1344 169 × 9 = 1521 Therefore, √7921 = 89 Ex 6.4, 1 Find the square root of each of the following numbers by Division method. 165. 7 \[1764 = 2\times 2\times 3\times 3\times 7\times 7\] Step 2: Identical factors are paired. 72 ÷ 2 = 36. 441. But, it can only be used if a number is a perfect square. Prime Factorization of 144. 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. For example 12 and 144, 12 = 2 × 2 × 3. 1 2 = 1, the square root of 1 is 1. 4 2 = 16, square root of 16 is 4 and so on. Is 144 a perfect square? Step VI: The product obtained in step V is the required square root. (ii) Make the pair of similar factors such that the both factors in each pair are equal. (iii) Take one factor … Then, 72 ÷ 2 = 36. 1764. Step 2: Again divide 72 by 2 and the process goes on. 7. 2. Ex 6.3, 4 Find the square roots of the following numbers by the Prime Factorization Method. 1. Thew following steps will be useful to find square root of a number by prime factorization. Ask your question. Step IV: Take one factor from each pair. Click hereto get an answer to your question ️ Find the square root of 144 by prime fractions method. Solution: Step 1: The given number is resolved into its prime factors. Find the square root of 1764 using the prime factorization method. mmmmcl1975 mmmmcl1975 29.06.2018 Math Secondary School Find the square root of 169 by repeated subtraction method 2 See answers arshbbcommander arshbbcommander 169 - 1 =168 168 - 3 = 165 165-5 = 160 160-7=153 153-9=144 144-11=133 133-13=120 120-15= 105 … Prime Factorization of 144 by division method is the first way to calculate a number's factors. Related Links : Is 144 an even number? 36 ÷ 2 = 18. (i) Decompose the number inside the square root into prime factors. 882. Prime Factorization Calculator. Join now. 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. 18 ÷ 2 = 9. HOPE , IT HELPS U....!!! We'll start by dividing the number, i.e., 144 by the smallest integer, which is 2.

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