Question

check whether 6 power of n can end with the digit 0 for any natural number n​

Answer 1

Answer:

for given no.6 power n to end with digit zero for any natural number.

the no.6 power n to end with 0 for any natural no.it should be divisible by 2×5

this means the prime factorisation of 6 power n should be contain the prime no. 5 and 2.but it is not possible because 6 power n =(2×3) ^n=2^n×3^n("^"means power)

so, 2and 3 is only the primes in the factorisation of 6power n

since, the 5 is not present in prime factorisation there is no natural number n which 6 power ends with digit 0