Risk Factors in Asset Allocation (alternative inv)

The below are risk factors discussed in the readings on Asset Allocation (alternative). They all make sense intuitively, except for 2 of them (Size & Value). Size risk factor is “excess return of small-cap equities over large cap equities”. I just don’t understand intuitively how that is a “risk factor” ? How is a subset of an asset class a risk factor?

AA Risk Factors
Equity market return
size
value
liquidity
duration
inflation
credit spread
currency

Size premium is a thing. Small companies do face risk compared to large ones, thereby demanding higher premia.

ok that makes sense thanks. So what is a “Value” risk factor?