6n can not end with digit 0 for value of n

The prime factors of 6 are 2 and 3. #8658;6n=2n #215;3n Since, 5 is not the factor of 6n Therefore, for any value of n, 6n nbsp;will not be divisible by ...

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Standard X

Mathematics

Applications of HCF & LCM in Real-World Problems

6n can not en...

Question

6ⁿ can not end with digit 0 for _________ value of n.

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Solution

The prime factors of 6 are 2 and 3.
$\Rightarrow 6^{n} = 2^{n} \times 3^{n}$

Since, 5 is not the factor of 6ⁿ
Therefore, for any value of n, 6ⁿwill not be divisible by 5.

Hence, 6ⁿ can not end with digit 0 for any value of n.

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6n can not end with digit 0 for _________ value of n.

The prime factors of 6 are 2 and 3. ⇒6n=2n×3n Since, 5 is not the factor of 6n Therefore, for any value of n, 6n will not be divisible by 5. Hence, 6n can not end with digit 0 for any value of n.

6ⁿ can not end with digit 0 for _________ value of n.

The prime factors of 6 are 2 and 3.
$\Rightarrow 6^{n} = 2^{n} \times 3^{n}$

Since, 5 is not the factor of 6ⁿ
Therefore, for any value of n, 6ⁿwill not be divisible by 5.

Hence, 6ⁿ can not end with digit 0 for any value of n.