Question

Convert base 10 273 to a base 12

Answer 1

The highest power of 12 that divides 273 (with remainder) is $12^2=144$, and dividing gives

$273=1(144)+129$

Divide the remainder term by the next highest power of 12, $12^1=12$.

$129=10(12)+9$

So $273_{10}=1a9_{12}$, since

$273=1\cdot144+10\cdot12+9\cdot1=1\cdot12^2+10\cdot12^1+9\cdot12^0$