**find the cube root of 166.375 by factorization method**
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Sep 13, 2020 · The number 166.375. To find: Its cube root by factorization method. Step-by-step explanation: Now, 166.375 = 166375/1000. Here we prime factorize both the numerator and the denominator separately. 5 | 166375. 5 | 33275. 5 | 6655. 11 | 1331. 11 | 121. 11. So, 166375 = 5 × 5 × 5 × 11 × 11 × 11. 2 | 1000. 2 | 500. 2 | 250. 5 | 125. 5 | 25. 5. So, 1000 = 2 × 2 × 2 × 5 × 5 × 5

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