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Cube root of 185193?
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Cube root of 185193?
Calculating the Cube Root of 185193
To find the cube root of 185193, we can use the prime factorization method.

Prime Factorization of 185193
185193 = 3 x 61731
61731 = 3 x 20577
20577 = 3 x 6859
6859 = 59 x 116
116 = 2 x 2 x 29

Calculating the Cube Root
Now, we can group the prime factors in sets of three:
185193 = 3 x 3 x 3 x 59 x 59 x 2 x 2 x 2
185193 = (3 x 59 x 2) x (3 x 59 x 2) x (3 x 2)
185193 = 354 x 354 x 6

Final Result
Therefore, the cube root of 185193 is 354.
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