Before understanding this topic you must know What is Multiplication of Integers ?
Explanation
Integers are closed under Multiplication, which mean that multiplication of integers will also give integers.
Following examples further explains this property :
Example 1 = Explain Closure Property under multiplication with the help of given integers 10 and 5
Answer = Find the product of given Integers ;
10 × 5 = 50
Since the product of 10 and 5 is equals to 50 and 50 is a positive integer,
So, we can say that Integers are closed under Multiplication
Example 2 = Explain Closure Property under multiplication with the help of given integers (1) and 23
Answer = Find the product of given Integers ;
(1) × 23 = (23)
Since the product of (1) and 23 gives us (23) and (23) is a negative integer,
So, we can say that Integers are closed under Multiplication
Example 3 = Explain Closure Property under multiplication with the help of given integers (10) and (69)
Answer = Find the product of given Integers ;
(10) × (69) = (690)
Since the product of (10) and (69) gives us (690) and (690) is a negative integer,
So, we can say that Integers are closed under Multiplication
Example 4 = Explain Closure Property under multiplication with the help of given integers 20 and (5)
Answer = Find the product of given Integers ;
20 × (5) = (100)
Since the product of 20 and (5) is equals to (100) and (100) is a negative integer,
So, we can say that Integers are closed under Multiplication

Study More Solved Questions / Examples
Explain closure property for multiplication of integers, with variables x and y. 
Explain closure property for multiplication of integers, with three positive integers 2, 3, 4. 
Explain closure property for multiplication of integers, with two positive integers 10 & 23. 
Explain closure property for multiplication of integers, with two negative integers i.e. (5) & (3) 
Explain closure property for multiplication of integers, with three negative integers i.e. (5), (6) & (3) 
Explain closure property for multiplication of integers, with two negative integers i.e. (2), (5) and two positive integers i.e., 8, 10. 
Study the following table:
10  X  3  =  30  It's an integer  5  X  2  =  ?  ?  20  X  8  =  ?  ?  6  X  7  =  ?  ? 
First row is solved; try solving all the other rows in similar manner. What do you understand by studying the entire table? 
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