Arithmetic
Associative Property
Averages
Brackets
Closure Property
Commutative Property
Conversion of Measurement Units
Cube Root
Decimal
Divisibility Principles
Equality
Exponents
Factors
Fractions
Fundamental Operations
H.C.F / G.C.D
Integers
L.C.M
Multiples
Multiplicative Identity
Multiplicative Inverse
Numbers
Percentages
Profit and Loss
Ratio and Proportion
Simple Interest
Square Root
Unitary Method
Algebra
Algebraic Equation
Algebraic Expression
Cartesian System
Linear Equations
Order Relation
Polynomials
Probability
Standard Identities & their applications
Transpose
Geometry
Basic Geometrical Terms
Circle
Curves
Angles
Define Line, Line Segment and Rays
Non-Collinear Points
Parallelogram
Rectangle
Rhombus
Square
Three dimensional object
Trapezium
Triangle
Trigonometry
Trigonometry Ratios
Data-Handling
Arithmetic Mean
Frequency Distribution Table
Graphs
Median
Mode
Range
Home >> Factors >> Facts About Factors >> Fact - 4 (Factors) >>

## Fact - 4 (Factors)

 Fact - 1 (Factors) Fact - 2 (Factors) Fact - 3 (Factors) Fact - 4 (Factors) Fact - 5 (Factors)

Fact 4 = Every factor of a given number is an exact divisor of that given number.

Following examples further explain Fact 4 of Factors

Example 1 = Discuss the Fact "Every Factor of a given number is either less than or equal to given number" with help of given number 27.
Answer = Find factors of given number 27.
Factors are = 1, 3, 9, 27.
Now, divide the given number by all it's factors.
27 ÷ 1 = 27
27 ÷ 3 = 9
27 ÷ 9 = 3
27 ÷ 27 = 1
As you notice that all the factors divides the given number exactly (without leaving any remainder).
Hence, it is clear that Every factor of a given number is an exact divisor of that given number

Example 2 = Discuss the Fact "Every Factor of a given number is either less than or equal to given number" with help of given number 10.
Answer = Find factors of given number 10.
Factors are = 1, 2, 5, 10.
Out of the above factors can you find any factor which does not exactly divide the given number 10 ?
Hence it is clear that Every factor of a given number is an exact divisor of that given number