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5. Cube root of a number using prime factorization method
Find Cube root of 1000 using prime factorization method
Solution:
First find factors of 1000
2
1000
2
500
2
250
5
125
5
25
5
5
1
`1000 = 2 × 2 × 2 × 5 × 5 × 5`
`1000 = 2^3 * 5^3`
`root (3)(1000) = root (3)(2^3 * 5^3)` (Taking cuberoot)
`= 2 × 5`
`= 10`