Question

check weather 6859 is perfect cube or not

Answer 1

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Answer 2

Cube means a number when multiplied 3 times and we obtain a number also the number obtained is known as cube root.

For example, 2 × 2 × 2 guves the result 8. On other hand, 8 is a perfect cube.

We can identify if a number is a perfect cube or not by prime factorisation method.


Now coming to the question,



6859

/ \
19 361

/ \
19 19

/ \
19 1

Prime factors of 6859 = 19 × 19 × 19

19 occurs three times.

3$\sqrt{6859}$ = 19



$\therefore{}$ 6859 is a perfect cube.