Divisor Dividend Quotient Remainder

Divisor Dividend Quotient Remainder Let us start this topic with one example of Division which will help us to know some basic Mathematical Terms in a simple and effective way.

The mathematical relationship that exists among Divisor, Dividend, Quotient and Reminder is as follows:

Dividend = Divisor × Quotient + Reminder

Here, Dividend = 59

Divisor = 7

Quotient = 8

Reminder = 3

So, in accordance with mathematical relationship, we have

Divisor Dividend Quotient Remainder

Factors of a Number

The exact Divisor of a Number is called its FACTOR

Let us understand the definition of the term Factor with one example of Division.

In this Division, the reminder is 0 (Zero) and so, 7 is the Exact Divisor of 56 or we can say that 7 is the factor of 56.

Points to remember:

Every number is the factor of itself : For example: 1 is the factor of 1 itself, 5 is the factor of 5 itself, 12 is the factor of 12 itself and so on.
1 is the factor of every number: For example:- 1 is the factor of 1, 1 is the factor of 5, 1 is the factor of 12 and so on.

A number can have 1(one) Factor only

A number can have 2(two) Factors only

A number can have more than 2(two) Factors

Based on Number of Factors a Number have, it can be classified as Prime Number or Composite Number or none of these.

Number	Factors	Number of Factors	Classified as	Reason
1	1	1	Neither a Prime Number Nor a Composite Number	1 has only one 1(One) Factor
2	1 & 2	2	Prime Number	2 has only 2(two) Factors
3	1 & 3	2	Prime Number	3 has only 2(two) Factors
4	1, 2 & 4	3	Composite Number	4 has more than 2(two) Factors
5	1 & 5	2	Prime Number	7 has only 2(two) Factors
6	1,2,3 & 6	4	Composite Number	6 has more than 2(two) Factors
7	1 & 7	2	Prime Number	7 has only 2(two) Factors
8	1, 2, 4 & 8	4	Composite Number	8 has more than 2(two) Factors
9	1, 3 & 9	3	Composite Number	9 has more than 2(two) Factors
10	1, 2, 5 & 10	4	Composite Number	10 has more than 2(two) Factors
11	1 & 11	2	Prime Number	11 has only 2(two) Factors
12	1, 2, 3, 4, 6 & 12	6	Composite Number	12 has more than 2(two) Factors
13	1 & 13	2	Prime Number	13 has only 2(two) Factors
14	1, 2, 7 & 14	4	Composite Number	14 has more than 2(two) Factors
15	1, 3 5 & 15	4	Composite Number	15 has more than 2(two) Factors
16	1, 2, 4, 8 & 16	5	Composite Number	16 has more than 2(two) Factors
17	1 & 17 2	2	Prime Number	17 has only 2(two) Factors
18	1, 2, 3, 6, 9 & 18	6	Composite Number	18 has more than 2(two) Factors
19	1 & 19	2	Prime Number	19 has only 2(two) Factors
20	1, 2, 4, 5, 10 & 20	6	Composite Number	20 has more than 3(three) Factors

The number that has exactly 2(two) factors [1(One) and the Number itself] are called Prime Number Numbers. From above chart, the Prime Numbers between 1 and 20 are 2,3,5,7,11,13,17 & 19

The number that has more than 2(two) factors are called Composite Numbers. From above chart, the Composite Numbers between 1 and 20 are 4, 6, 8, 9, 10, 12, 14, 15, 16, 18 & 20

1 is neither a prime number nor a composite number because it has only 1(One) Factor.

Adjacent Angles