All Rights Reserved. (ii) Make the pair of similar factors such that the both factors in … Since the number is a perfect square, you will be able to make an exact number of pairs of prime factors. Say you want to find the prime factors of 100 using trial division. is 316 bt can anybody explain how we get 316? First guess = 3364/2 = 1682. Find the square root by prime-factorization method. 2. (iii) Take one factor … Start by testing each integer to see if and how often it divides 100 and the subsequent quotients evenly. Average this value (d) with that of step 1: (2 + 1682)/2 = 842 (new guess). 147. We can find square root by prime factorization method or by long division method. 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