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Check whether 6^n can end with …

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Check whether 6^n can end with the digit 0 for any natural number n

Posted by Udit Shukla 7 years, 8 months ago

CBSE > Class 10 > Mathematics

1 answers

Anupam Garg 7 years, 8 months ago

No,6^n can not end with zero.If 6^n is end with zero than in its prime factorisation is 2 and 5. But we know that it's prime factorisation is (2×3)^n and it is unique by the fundamental theoram of Euclid division algorithm. So 6^n is not end with zero for any natural number n.

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CBSE > Class 10 > Mathematics