Question

Express the septenary number $20665152$ in powers of $12$.

Answer 1

$20665152$ from the scale five to decimal is $2\times 5^0+5\times 5^1+1\times 5^2+5\times 5^3+6\times 5^4+6\times 5^5+0\times 5^6+2\times 5^7=1764135$

When $1764135$ is divided by $12$ quotient is $147011$ and remainder is $3$

When $147011$ is divided by $12$ quotient is $12250$ and remainder is $11$

When $12250$ is divided by $12$ quotient is $1020$ and remainder is $10$

When $1020$ is divided by $12$ quotient is $85$ and remainder is $0$

When $85$ is divided by $12$ quotient is $7$ and remainder is $1$

When $7$ is divided by $12$ quotient is $0$ and remainder is $7$

Hence, $20665152$ from scale five to $710te3$ in scale of twelve.