**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.

**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.

**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.

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.

HTML Comment Box is loading comments...

**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**