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Question
Find the square root the following by prime factorization.
190969
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Solution
Resolving 190969 into prime factors:
190969 = 19 x 19 x 23 x 23
Grouping the factors into pairs of equal factors:
190969 = (19 x 19) x (23 x 23)
Taking one factor for each pair, we get the square root of 190969:
19 x 23 = 437
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