Is 18342 a perfect cube or not
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Answer:
no it is not a perfect cube
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First we have to prime factorise the number....
18,342 = 2 × 3 × 3 × 1,019
here we should get tripelets of the prime numbers
for ex -
216 = 2 × 2 × 2 × 3 × 3× 3 (216 = 6³)
If the given number is a perfect cube than there should be tripelets formed as above...
And in our example there were no tripelets formed...
So, the given number is not a perfect cube....
- The tripelets should be strictly formed.... Even if one number is missing in tripelets than the given number is NOT a perfect cube....
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