Question

Check Weather 4^n can end with digit 0 for any natural mumber n.

Answer 1

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Here goes your answer

• 4*n can not be end with the digit 0
• 4*n can not be end with the digit 0Only it ends with 6

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Answer 2

Answer :-

→ No, 4ⁿ can never end with the digit 0 for any natural number n .

Step-by-step explanation :-

→ If 4ⁿ ends with 0 then it must have 5 as a factor .

But, 4ⁿ = ( 2² )ⁿ = 2²ⁿ .

→ It shows that 2 is the only prime factor of 4ⁿ .

Also, we know from the fundamental theorem of airthematic that the prime factorisation of each number is unique .

So, 5 is not a factor of 4ⁿ .

Hence, 4ⁿ can never end with the digit 0 .