DIVISIBILITY RULE FOR 3
In a number, if the sum of all the digits is divisible by 3 or a multiple of 3, then the number is divisible by 3.
Example 1 :
Check whether 252 is divisible by 3.
Add all the digits in the number 252.
2 + 5 + 2 = 9
The sum of the digits in the given number 252 is 9 which is a multiple of 3.
So, 252 is divisible by 3.
Example 2 :
Test whether 1326 is divisible by 3?
Add all the digits in the number 1326.
1 + 3 + 2 + 6 = 12
The sum of the digits in the given number 1326 is 12 which is a multiple of 3.
So, 1326 is divisible by 3.
Example 3 :
Check whether 6471 is divisible by 3.
Add all the digits in the number 6471.
6 + 4 + 7 + 1 = 18
The sum of the digits in the given number 6471 is 18 which is a multiple of 3.
So, 6471 is divisible by 3.
Example 4 :
Check whether 5986 is divisible by 3.
Add all the digits in the number 5986.
5 + 9 + 8 + 6 = 28
The sum of the digits in the given number 5986 is 28 which is not a multiple of 3.
So, 5986 is not divisible by 3.
Divisibility rule for 2
Divisibility rule for 4
Divisibility rule for 5
Divisibility rule for 6
Divisibility rule for 7
Divisibility rule for 8
Divisibility rule for 9
Divisibility rule for 10
Divisibility rule for 11
Divisibility rule for 12
Divisibility rule for 15
Divisibility rule for 18
Divisibility rule for 25
Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.
You can also visit the following web pages on different stuff in math.
HCF and LCM word problems
Word problems on simple equations
Word problems on linear equations
Word problems on quadratic equations
Algebra word problems
Word problems on trains
Area and perimeter word problems
Word problems on direct variation and inverse variation
Word problems on unit price
Word problems on unit rate
Word problems on comparing rates
Converting customary units word problems
Converting metric units word problems
Word problems on simple interest
Word problems on compound interest
Word problems on types of angles
Complementary and supplementary angles word problems
Double facts word problems
Trigonometry word problems
Percentage word problems
Profit and loss word problems
Markup and markdown word problems
Decimal word problems
Word problems on fractions
Word problems on mixed fractrions
One step equation word problems
Linear inequalities word problems
Ratio and proportion word problems
Time and work word problems
Word problems on sets and venn diagrams
Word problems on ages
Pythagorean theorem word problems
Percent of a number word problems
Word problems on constant speed
Word problems on average speed
Word problems on sum of the angles of a triangle is 180 degree
Profit and loss shortcuts
Times table shortcuts
Time, speed and distance shortcuts
Ratio and proportion shortcuts
Domain and range of rational functions
Domain and range of rational functions with holes
Graphing rational functions
Graphing rational functions with holes
Converting repeating decimals in to fractions
Decimal representation of rational numbers
Finding square root using long division
L.C.M method to solve time and work problems
Translating the word problems in to algebraic expressions
Remainder when 2 power 256 is divided by 17
Remainder when 17 power 23 is divided by 16
Sum of all three digit numbers divisible by 6
Sum of all three digit numbers divisible by 7
Sum of all three digit numbers divisible by 8
Sum of all three digit numbers formed using 1, 3, 4
Sum of all three four digit numbers formed with non zero digits
Sum of all three four digit numbers formed using 0, 1, 2, 3
Sum of all three four digit numbers formed using 1, 2, 5, 6