# find the square root of 144 by prime factorization method

Ask your question. Then, 72 ÷ 2 = 36. 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. 1 2 = 1, the square root of 1 is 1. But, it can only be used if a number is a perfect square. Square Root by Prime Factorization Example Problems. 1. Therefore, if we take the square root on both the sides, we get; √144 = √(2x2x2x2x3x3) What is the prime factorization of 144 [SOLVED] The Prime Factorization of 144 Answer: 2 4 • 3 2 144 is not a prime number. (ii) Inside the square root, for every two same numbers multiplied, one number can be taken out of the square root. Prime Factorization of 144. We'll start by dividing the number, i.e., 144 by the smallest integer, which is 2. 3. 1764. (ii) Make the pair of similar factors such that the both factors in each pair are equal. 441. Is 144 an odd number? Ex 6.3, 4 Find the square roots of the following numbers by the Prime Factorization Method. (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 Related Links : Is 144 an even number? Step IV: Take one factor from each pair. (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. 49. 72 ÷ 2 = 36. 165. 9 ÷ 3 = 3 (ii) Make the pair of similar factors such that the both factors in … In prime factorisation, we have to find the prime factors in the given number. Prime Factorisation. 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 … Join now. 3. 2. Thew following steps will be useful to find square root of a number by prime factorization. This method is easy to apply, as we have learned about prime factors in our earlier classes. For example 12 and 144, 12 = 2 × 2 × 3. What are the factors of 144? Prime Factorization of 144 by division method is the first way to calculate a number's factors. 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. Step VI: The product obtained in step V is the required square root. Log in. Log in. HOPE , IT HELPS U....!!! 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. 7 \[1764 = 2\times 2\times 3\times 3\times 7\times 7\] Step 2: Identical factors are paired. 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. 2. Click hereto get an answer to your question ️ Find the square root of 144 by prime fractions method. 36 ÷ 2 = 18. (iii) Take one factor … Step V: Find the product of factors obtained in step IV. 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. 36 ÷ 2 = 18. Step 1: The first step is to divide the number 144 with the smallest prime factor, say 2. Join now. Step 2: Again divide 72 by 2 and the process goes on. 882. Is 144 a prime number? 144 ÷ 2 = 72. Please write the result of L.C.M (prime factorization) also. 147. For example, let us find the prime … (i) Decompose the number inside the square root into prime factors. 18 ÷ 2 = 9. So continue with the next prime factor, say 3. Prime Factorization Calculator. 18 ÷ 2 = 9. Is 144 a perfect square? Solution: Step 1: The given number is resolved into its prime factors. 7. Find the square root of 1764 using the prime factorization method. Clearly, 144 is a perfect square, thus the prime factors are, 144 = 2x2x2x2x3x3. Find the square root of 169 by repeated subtraction method - 4440731 1. Step 3: You will get a fractional number if you divide 9 by 2. Is 144 a composite number? Let us consider the prime factors of a number and its square. The process will start with, 144 ÷ 2 = 72. 1. New questions in Math. 4 2 = 16, square root of 16 is 4 and so on. Now let us know how to calculate the prime factors of a number.

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