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.
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