Verified answer

Question :-

[tex]\:\:\:\:\:\:\:\:\:\:[/tex] Check whether [tex] 6^{n} [/tex] can end with the digit 0 for any natural number n .

Answers :-

[tex]\:\:\:\:\:\:\:\:\:\:[/tex]A natural number can end with 0 only if 2,5 are the prime factors of that number.

[tex]6^{n} [/tex] can end with digit 0

[tex]\:\:\:\:\:\:\:\:\:\:[/tex] Factors : - ( 2 × 3 ) [tex]^{n}[/tex]

Here,

[tex]\:\:\:\:\:\:\:\:\:\:[/tex] We can see 6 do not have prime factor (5)

Hence ,

[tex]\:\:\:\:\:\:\:\:\:\:[/tex] [tex]6^{n} [/tex]. cannot end with digit 0

Question :-

\:\:\:\:\:\:\:\:\:\: Check whether 6^{n}6

n

can end with the digit 0 for any natural number n .

Answers :-

\:\:\:\:\:\:\:\:\:\: A natural number can end with 0 only if 2,5 are the prime factors of that number.

6^{n}6

n

can end with digit 0

\:\:\:\:\:\:\:\:\:\: Factors : - ( 2 × 3 ) ^{n}

n

Here,

\:\:\:\:\:\:\:\:\:\: We can see 6 do not have prime factor (5)

Hence ,

\:\:\:\:\:\:\:\:\:\: 6^{n}6

n

. cannot end with digit 0

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