check whether 4^n can end with digit zero from any natural number'n
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Answer:
No, since 4^odd number will always end in 4, 4^ even number will always end in 6.
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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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