For versions prior to v13.1:
g = Map[Apply[Sequence]]@*Map[Apply[ConstantArray]]@*FactorInteger
or
h = Flatten@*Map[Apply[Table]]@*FactorInteger;
Example:
g /@ Range[100, 600, 50]
{{2, 2, 5, 5}, {2, 3, 5, 5}, {2, 2, 2, 5, 5}, {2, 5, 5, 5}, {2, 2, 3, 5, 5}, {2, 5, 5, 7}, {2, 2, 2, 2, 5, 5}, {2, 3, 3, 5, 5}, {2, 2, 5,
5, 5}, {2, 5, 5, 11}, {2, 2, 2, 3, 5, 5}}