Chapter 5 - Section 5.8 - Solving Equations by Factoring and Problem Solving - Exercise Set - Page 326: 106

The only time that the product of factors (regardless of the number of factors) equals $0,$ is when at least one of the factors is $0.$ Hence, the Zero Factor Property works even for more than two numbers whose product is $0.$

The product of factors is equal to zero happens only when at least one of the factors is zero.