Question

check whether 12 power n can end with digit 0 for any natural number N​

Answer 1

Answer:

no

it cannot end as it does not have prime factor 5

therefore by fundamental theorem of arithmetic a number can end with zero if it has prime number 5

Answer 2

Answer:

Step-by-step explanation:

if the number 12 power n ,for any n,were to end with the digit zero,then it would be divisible by 5.That is ,the prime factorisation of 12 power n would contain the prime 5.This is not possible because 12 power n = 2 power 3+4.so the uniqueness of Fundamental Theorem of Arithmetic guarantees that there are no other primes in the factorisation of 12 power n.So,there is no natural number n for which 12 power n ends with digit zero.