Arithmetic
Additive Identity
Associative Property
Averages
Brackets
Closure Property
Commutative Property
Conversion of Measurement Units
Cube Root
Decimal
Distributivity of Multiplication over Addition
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
Quadrilateral
Trigonometry
Trigonometry Ratios
Data-Handling
Arithmetic Mean
Frequency Distribution Table
Graphs
Median
Mode
Range
Home >> Divisibility Principles >> Divisibility Principle of 6 >>

## Divisibility Principle of 6

 Divisibility Principle of 10 Divisibility Principle of 11 Divisibility Principles of 2 Divisibility Principle of 3 Divisibility Principle of 4 Divisibility Principle of 5 Divisibility Principle of 6 Divisibility Principle of 8 Divisibility Principle of 9 More Divisibility Rules

 To understand the Divisibility Principle of 6 you must know :- Divisibility Principle of 2 (topic already available in this site) Divisibility Principle of 3 (topic already available in this site) Definition :- It involves two step process :- Step.1)The number has to be divisible by 2. Step.2)The number has to be divisible by 3. In simple words, we can say that the given number is divisible by 6, if it is divisible by 2 and 3 both. Read the following examples and you can further learn Divisibility Principle of 6:- Example 1 = Is 48 divisible by 6 ? Answer = Step 1 = Check whether the given number is divisible by 2 or not ? (Remember; a number is divisible by 2 if has 0, 2, 4, 6, 8 at its one's place.) Now, the given number has 8 in its ones place, so we can say that the given number 48 is divisible by 2. Step 2 = Check whether the given number is divisible by 3 or not ? (Remember;If the sum of the digits is a multiple of 3,then the number is divisible by 3. ) Now, add the digits of the given number, 4 + 8 = 12 Since 12 is divisible by 3, so we can say that the given number 48 is divisible by 3 also. Now, we know that the given number 48 is divisible by both 2 and 3, Hence, the given number 48 is divisible by 6. Example 2 = Is 27 divisible by 6 ? Answer = Step 1 = Check whether the given number is divisible by 2 or not ? (Remember; a number is divisible by 2 if has 0, 2, 4, 6, 8 at its unit/ones place.) Now, the given number has 7 in its ones place, so we can say that the given number 27 is not divisible by 2, and step 2 not required, Hence, the given number 27 is not divisible by 6. Example 3 = Is 16 divisible by 6 ? Answer = Step 1 = Check whether the given number is divisible by 2 or not ? (Remember; a number is divisible by 2 if has 0, 2, 4, 6, 8 at its unit/ones place.) Now, the given number has 6 in its ones place, so we can say that the given number 48 is divisible by 2. Step 2 = Check whether the given number is divisible by 3 or not ? (Remember;If the sum of the digits is a multiple of 3, then the number is divisible by 3. ) Now, add the digits of the given number, 1 + 6 = 7 Since 7 is not divisible by 3, so we can say that the given number 16 is not divisible by 3. Now, we know that the given number 16 is not divisible by both 2 and 3, Hence, the given number 16 is not divisible by 6. Example 4 = Is 216 divisible by 6 ? Answer = Step 1 = Check whether the given number is divisible by 2 or not ? (Remember; a number is divisible by 2 if has 0, 2, 4, 6, 8 at its unit/ones place.) Now, the given number has 6 in its ones place, so we can say that the given number 216 is divisible by 2. Step 2 = Check whether the given number is divisible by 3 or not ? (Remember;If the sum of the digits is a multiple of 3, then the number is divisible by 3. ) Now, add the digits of the given number, 2 + 1 + 6 = 9 Since 9 is divisible by 3, so we can say that the given number 216 is divisible by 3 also. Now, we know that the given number 216 is divisible by both 2 and 3, Hence, the given number 216 is divisible by 6. Example 5 = Is 543 divisible by 6 ? Answer = Step 1 = Check whether the given number is divisible by 2 or not ? (Remember; a number is divisible by 2 if has 0, 2, 4, 6, 8 at its unit/ones place.) Now, the given number has 3 in its ones place, so we can say that the given number 543 is not divisible by 2, and so step 2 not required, Hence, the given number 543 is not divisible by 6. Example 6 = Is 806 divisible by 6 ? Answer = Step 1 = Check whether the given number is divisible by 2 or not ? (Remember; a number is divisible by 2 if has 0, 2, 4, 6, 8 at its unit/ones place.) Now, the given number has 6 in its ones place, so we can say that the given number 806 is divisible by 2. Step 2 = Check whether the given number is divisible by 3 or not ? (Remember;If the sum of the digits is a multiple of 3, then the number is divisible by 3. ) Now, add the digits of the given number, 8 + 0 + 6 = 14 Since 14 is not divisible by 3, so we can say that the given number 806 is not divisible by 3. Now, we know that the given number 806 is not divisible by both 2 and 3, Hence, the given number 806 is not divisible by 6.

Terms & Conditions

All rights reserved