If multiplication tells you how many times to add a certain number, then multiplying by 0 means that you have nothing to add because 0 means nothing. So, 3 * 0 means that you are adding 3 zero, or no, times. What does that equal then? Well, if you are not adding anything, then you have nothing still and nothing is 0.

The zero property of multiplication states that when multiplying a number by zero, the product is always zero. The zero can come before or after the number, which means the position of zero does not affect the property. So, 2 x 0 = 0.

Factorial of a number in mathematics is the product of all the positive numbers less than or equal to a number. But there are no positive values less than zero so the data set cannot be arranged which counts as the possible combination of how data can be arranged (it cannot). Thus, 0! = 1.

it's sadly impossible to have an answer. The reason, in short, is that whatever we may answer, we will then have to agree that that answer times 0 equals to 1, and that cannot be ​true, because anything times 0 is 0. Created by Sal Khan.