If n is a natural number then 4" will never end with the digit
a. 1
b. 4
c. 6
d. 0
Answers
Answer:
For the number 4
n
to end with digit zero for any natural number n, it should be divisible by 5. This means that the prime factorisation of 4
n
should contain the prime number 5.But it is not possible because 4
n
=(2)
2n
so 2 is the only prime in the factorisation of 4
n
. Since 5 is not present in the prime factorization, so there is no natural number n for which 4
n
ends with the digFor the number 4
n
to end with digit zero for any natural number n, it should be divisible by 5. This means that the prime factorisation of 4
n
should contain the prime number 5.But it is not possible because 4
n
=(2)
2n
so 2 is the only prime in the factorisation of 4
n
. Since 5 is not present in the prime factorization, so there is no natural number n for which 4
n
ends with the digit zero.
Answer:
d. 0
Step-by-step explanation:
Since, whatever natural number n is, 0 will never end up being the last digit of any exponential multiple of 4.
You can get 1 as the answer if u take n = 0.
Therefore, the answer is d. 0
Hope this helps you!
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