Suppose that N can be written in base 6 as \(531340_6\) and in base 8 as \(124154_8\). In base 10, what is the remainder when N is divided by 210? Please help.

piduk8 Mar 9, 2021

#1**+1 **

well this isn't a good way to solve the problem and I'm sure there's many other smarter ways to solve it, but

\(531340_6 = 5(6^5)+3(6^4)+6^3+3(6^2)+4(6)= 38880+3888+ 216+108+24 = 43116_{10}\).

the remainder of that when divided by 210 is **66**.

lokiisnotdead Mar 9, 2021