Select array from array mysql

I have two table Table Category (Cate_id, Parent_id)

Cate_id | Parent_ID

1 | 0

3 | 1

2 | 0

4 | 1

And table Products (Product_id, Category_id)

Product_id | Category_id

1 | 1,3

2 | 4

How to select product ID with category_id = 1 and category have parent = 1?