Answer
$152_{six}$
Work Step by Step
$(4\times 5)_{10}=(20)_{10}=3\times 6+2=(32)_{six}$
Record the 2, and carry the 3.
$\begin{array}{llll}
& 2 & 5_{six} & \\
\times & & 4_{six} & \\
-- & -- & -- & \\
& & 2_{six} &
\end{array}$
$(4\times 2)_{10}=(8)_{10}=1\times 6+2=(12)_{six}$
$12_{six}+3_{six}=15_{six}$
record the $5$; carry the $1$, and
record the 1.
$\begin{array}{llll}
& 2 & 5_{six} & \\
\times & & 4_{six} & \\
-- & -- & -- & \\
1 & 5 & 2_{six} &
\end{array}$