Divisor โ€“ Dividend โ€“ Quotient โ€“ Reminder

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.

divisor dividend

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:

  1. 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.
  2. 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.

NumberFactorsNumber of FactorsClassified asReason
111Neither a Prime Number Nor a Composite Number1 has only one 1(One) Factor
21 & 22Prime Number2 has only 2(two) Factors
31 & 32Prime Number3 has only 2(two) Factors
41, 2 & 43Composite Number4 has more than 2(two) Factors
51 & 5 2Prime Number7 has only 2(two) Factors
61,2,3 & 64Composite Number6 has more than 2(two) Factors
71 & 72Prime Number7 has only 2(two) Factors
81, 2, 4 & 84Composite Number8 has more than 2(two) Factors
91, 3 & 93Composite Number9 has more than 2(two) Factors
101, 2, 5 & 104Composite Number10 has more than 2(two) Factors
111 & 112Prime Number11 has only 2(two) Factors
121, 2, 3, 4, 6 & 126Composite Number12 has more than 2(two) Factors
131 & 132Prime Number13 has only 2(two) Factors
141, 2, 7 & 144Composite Number14 has more than 2(two) Factors
151, 3 5 & 154Composite Number15 has more than 2(two) Factors
161, 2, 4, 8 & 165Composite Number16 has more than 2(two) Factors
171 & 17 22Prime Number17 has only 2(two) Factors
181, 2, 3, 6, 9 & 186Composite Number18 has more than 2(two) Factors
191 & 192Prime Number19 has only 2(two) Factors
201, 2, 4, 5, 10 & 206Composite Number20 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

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