Question: Divisor of 86,420

I used the same approach of yours but with slight different thinking. I thought If 6^n is divisor of 86,420 then 6 must be a divisor of 86,420. After dividing I saw that 6 is not divisor as I was getting remainder. so if 6 is not divisor then what value of n will be divisor of 86420? I remembered the point that any number to the exponent 0 will equal 1. so I took 6^0 = 1 and 1 is a divisor of 86420. got the same result.

Thank you :)