DIVISIBILITY RULE OF 2
About "Divisibility rule of 2"
Divisibility rule of 2 :
Here we are going to see how to test whether the number is divisible by 2 or not.
Meaning of divisibility :
When one number can be divided by another and the result is an exact whole number or the remainder need to be zero.
How to check if number is divisible by 2 ?
Divisibility rule of 2 :
All even numbers are divisible by 2.
The number which ends with one of the following numbers, that is 0, 2, 4, 6 or 8 is known as even numbers.
If the given ends with any of the above numbers, we can say that the given number is divisible by 2.
Divisibility rule of 2 - Examples
Example 1 :
Let us test the number 16 is divisible by 2 or not. To test that divide 16 by 2. The result will be 8 (quotient) or the remainder is zero.
Hence, the given number "16" is exactly divisible by 2
Example 2 :
Let us take the another number 21. To check whether it is divisible by 2 or not. Divide 21 by 2. The result will be 10.5 (not a whole number).
Hence, the given number 21 is not divisible by 2.
Divisibility rule of 2 - Practice questions
You can evaluate your knowledge by taking this quiz in this topic.
Question 1 :
Which of the following is divisible by 2?
Options :
(A) 15
(B) 12
(C) 11
Solution :
Divisibility rule of 2 :
The number which ends with one of the following numbers, that is 0, 2, 4, 6 or 8 is known as even numbers.
Option A :
Since the unit digit of the number 15 is 5, it is not even number. So it is not divisible by 2.
Option B :
The unit digit of the number 12 is 2, it is even number. So it is divisible by 2.
Option C :
Since the unit digit of the number 11 is 1, it is not even number. So it is not divisible by 2.
Hence, 12 is the number which is divisible by 2.
Question 2 :
Which of the following is divisible by 2?
Options :
(A) 101
(B) 105
(C) 108
Solution :
Option A :
Since the unit digit of the number 101 is 1, it is not even number. So it is not divisible by 2.
Option B :
Since the unit digit of the number 105 is 5, it is not even number. So it is not divisible by 2.
Option C :
Since the unit digit of the number 108 is 8, it is not even number. So it is not divisible by 2.
Question 3 :
Which of the following number must be added with 13 to get the two divisible number?
Options :
(A) 1
(B) 5
(C) 0
Solution :
Option A :
13 + 1 = 14
Since the unit digit of the number 14 is 4, it is even number. So it is divisible by 2.
Option B :
13 + 5 = 18
Since the unit digit of the number 18 is 8, it is even number. So it is divisible by 2.
Option C :
13 + 0 = 13
Since the unit digit of the number 13 is 3, it is not even number. So it is not divisible by 2.
Hence, the numbers 1 and 5 must be added with 13 to get the two divisible number.
Questions 4 :
Which of the following number must be subtracted from 27 to get the two divisible number?
Options :
(A) 2
(B) 1
(C) 0
Solution :
Option A :
27 - 2 = 25
Since the unit digit of the number 25 is 5, it is not even number. So it is not divisible by 2.
Option B :
27 - 1 = 26
Since the unit digit of the number 26 is 6, it is even number. So it is divisible by 2.
Option C :
27 - 0 = 27
Since the unit digit of the number 27 is 7, it is not even number. So it is not divisible by 2.
Hence, the number 1 must be subtracted from 27 to get the two divisible number.
Question 5 :
Which of the following statement is not true?
Options :
(A) All the two digit number is divisible by 2
(B) Two divisible number ends with 0, 2, 4, 6, 8
(C) Even number are divisible by 2
Solution :
Option A is correct.
After having gone through the stuff given above, we hope that the students would have understood "Divisibility rule of 2"
Apart from the stuff given above, if you want to know more about "Divisibility rule of 2", please click here.
Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.
Related topics
WORD PROBLEMS
HCF and LCM word problems
Word problems on simple equations
Word problems on linear equations
Word problems on quadratic equations
Area and perimeter word problems
Word problems on direct variation and inverse variation
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
Markup and markdown word problems
Word problems on mixed fractrions
One step equation word problems
Linear inequalities word problems
Ratio and proportion word problems
Word problems on sets and venn diagrams
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
OTHER TOPICS
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 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
Math dictionary