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Question

Write the number of digits in cube root of the following cubes 491169069

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Solution

491169069 is an odd composite number. It is composed of two distinct prime numbers multiplied together. It has a total of sixteen divisors.

Factorization is needed for finding the cube root

Prime factorization of 491169069:
3^3 × 263^3
(3 × 3 × 3 × 263 × 263 × 263)

So Cube root of 3^3 × 263^3 is 3 × 263 = 789

So the number of digits =

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