On All Fours

Can you find the smallest whole number that, when multiplied by 3, gives an answer consisting of all fours?

I tried these:

$4 \div 3 = \color{#D61F06} 1.\overline{3}$

$44 \div 3 = \color{#D61F06} 14.\overline{6}$

$444 \div 3 = \color{#20A900} \boxed{148}$

The last one works!