We know that the divisor is a number by which another number is to be divided.
For example, in the expression 8 : 2 = 4, the divisor is number 2. This number shows how many parts we need to divide number 8. After dividing it, the answer is 4. As you can see from the example, the number 8 is divisible by the number 2 without a remainder. The number 2 is said to be the divisor of number 8.
Example 1. The number 2 is a divisor of 8 because 8 is divisible by 2 without a remainder:
8 : 2 = 4
Example 2. The number 3 is a divisor of 9 because 9 is divisible by 3 without a remainder:
9 : 3 = 3
Example 3. The number 4 is not a divisor of 10 because 10 is not divisible by 4 without a remainder:
10 : 4 = 2 (2 in the remainder)
Definition. The divisor of a is the number by which a is divisible without a remainder.
This definition contains the variable a. Substitute any number instead of this variable, for example number 12, and read the definition:
The divisor of 12 is the number by which 12 is divided without a remainder.
Let's try to list these numbers:
1, 2, 3, 4, 6, 12
All of these numbers are divisors of number 12 because number 12 is divisible by them without a remainder. Let's show this:
12 : 1 = 12
12 : 2 = 6
12 : 3 = 4
12 : 4 = 3
12 : 6 = 2
12 : 12 = 1
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