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It means that if the product of two or more numbers is equal to 0, then one or more of them must be equal to 0.

To illustrate,

If a · b = 0 , then either a=0 or b=0, or both a=0=b.

To simply put, a product equal to  0 must have a factor/s of 0. 

Also, this property is most commonly used when solving for roots of quadratic equations.