Imagine you have Legos. When you put two Legos together, they sometimes stick together really well and you can't separate them. But sometimes, they don't stick together so well and you CAN separate them. In math, we call these Legos "numbers" and when you multiply two numbers together, sometimes you get a product that you can't "separate" back into the original numbers. We call these special numbers "zero divisors".
Let me explain it this way: Imagine you have a bunch of cookies in a jar and you want to share them equally with your friends. However, some of the cookies are stale, so you can't give them to your friends. You can only give them the fresh cookies. The stale cookies are the zero divisors. They mess up the sharing of cookies just like how some numbers mess up the multiplication of other numbers.
So in math, we have to watch out for zero divisors because they make things more complicated and sometimes even impossible to solve. It's like trying to divide cookies equally but then finding out that some of the cookies are spoiled and can't be divided.