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

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Check whether 6n can end with the digit 0 for any natural number ‘n’.

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We have to check whether 6n can end with the digit 0 for any natural number ‘n1. 

6n = 10 x q 

(2 × 3)n = 2 × 5 × q 

2n × 3n = 2 × 5 × q 

5 is prime factor of 2n × 3n . 

Only 2 and 3 

∴ This is not possible.

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