Math, asked by 909kailashrajpurohit, 1 month ago

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

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Answered by jayagupta78
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Answered by ShreyalNema
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6ⁿ = (2×3)ⁿ

The primes in the factorisation of 6ⁿ are 2 and 3.

For 6ⁿ to end in digit 0, prime factorisation of 6ⁿ should contain the primes 2 as well as 5.

Therefore, there is no natural number n for which 6ⁿ ends with digit 0.

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