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Your prime factorization is the empty product with 0 factors, which is defined as having a value of 1. (i) Decompose the number inside the square root into prime factors. Related Links : Is 1444 an even number? Is 1444 an odd number? It is written in the radical form as $\sqrt{144}$ = 12. The number 1 is not a prime number, but a divider for every natural number. It is often taken as the smallest natural number (however, some authors include the natural numbers from zero). Step V: Find the product of factors obtained in step IV. Thew following steps will be useful to find square root of a number by prime factorization. The two methods to determine the square root value of 144 are Prime Factorization Method and Long Division Method. Square Root Of 1444? (ii) Inside the square root, for every two same numbers multiplied, one number can be taken out of the square root. There are two methods to determine the square root value of 144. Step IV: Take one factor from each pair. 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