Math, asked by xyz225, 4 months ago

check whether 4^n can end with digit zero from any natural number'n​

Answers

Answered by cosmicdust
0

Answer:

No, since 4^odd number will always end in 4, 4^ even number will always end in 6.

Answered by anupamasikder12
0

Answer:

No, 4^n can never end with 0.

Step-by-step explanation:

Given:- 4^n

To find: Whether 4^n can end with digit zero.

Sol. Let us say for now, 4^n ends with 0

=> 4^n is divisible by 5

=> Prime factorization of 4^n must contain prime '5' but 4^n = (2^2)^n = 2^2n

This means only prime factorization of 4^n is 2.

Hence, 4^n can never end with 0.

Hope it helps you :)

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