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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