# Divisible by 2

This topic would deal with the divisibility rule of 2 and few sums on divisibility rule of 2.

Numbers that are ending with 02, 4, 6, and 8 are divisible by 2. That means numbers ending with 0 or multiples of 2 are divisible by 2. We know that numbers which are multiples of 2 are even numbers. Hence we can say that all even numbers are divisible by 2.

Numbers ending with odd numbers like 13, 5, 7, and 9 are not divisible by 2.

Here are few examples on divisibility rule of 2.

1. Choose the numbers that are divisible by 2 and state why?

12        67        44        90        89        76        23        24

Solution:

12 is divisible by 2 as the last digit is an even number.

67 is not divisible by 2 as the last digit is an odd number.

44 is divisible by 2 as the digit in the unit’s place is 4

90 is divisible by 2 as the last digit is zero

89 is not divisible by 2 as the last digit is an odd number

76 is divisible by 2 as the digit at units place is an even

23 is not divisible by 2 as the number ends with an odd number

24 is divisible by 2 as the last digit is an even number

2. State why the following numbers are divisible by 2?

(i) 900

(ii) 884

(iii) 3466

(iv) 7542

(v) 8828

Solution:

(i) 900 ends with the digit 0 hence it is divisible by 2

(ii) 884 ends with an even number hence it is divisible by 2

(iii) 3466 is divisible by 2 as the last digit is a multiple of 2

(iv) 7542 is divisible by 2 as the digit at unit place is 2

(v) 8228 end with a multiple of 2 hence it is divisible by 2

3. Fill in the blanks to make the numbers divisible by 2

(i) 3 …. 8

(ii) 85 ….

(iii) 72 ….

(iv) …. 46

(v) 2 ….2

(vi) 9 …. 0

(vii) 24….

(viii) 10 ….

(ix) 40 ….

(x) 36 ….

Solution:

(i) 358

(ii) 852

(iii) 724

(iv) 746

(v) 212

(vi) 970

(vii) 244

(viii) 100

(ix) 404

(x) 366

4. State which of the numbers are divisible by 2 and state why?

(i) 45633

(ii) 4102

(iii) 7500

(iv) 3620

(v) 4513

(vi) 7458

(vii) 3221

Solution:

(i) 45633 is not divisible by 2 as the last digit is an odd number

(ii) 4102 is divisible by 2 as the last digit is an even number

(iii) 7500 is divisible by 2 as the digit in the unit’s place is 2

(iv) 3620 is divisible by 2 as the last digit is 0

(v) 4513 is not divisible by 2 as the last digit is an odd number

(vi) 7458 is divisible by 2 as the last digit is an even number

(vii) 3221 is not divisible by 2 as the last digit is not a multiple of 2

## You might like these

• ### Ribosomes and Inclusion Bodies | Definition | Stored Food | Pigments

Definition of ribosome- Ribosome is the organelles which is associated with protein synthesis. It is made up of two subunits. The larger one is spherical in shape and the smaller one is oval in shape. Ribosomes are attached with the endoplasmic reticulum and formed rough

• ### Worksheet on Divisibility Rules | Questions on Test of Divisibility

This is a worksheet which will provide few problems on the divisibility rule of 2, 3, 4, 5, 6, 7, 8, 9, and 10. 1. Check whether the following numbers are divisible by 2 or 3 or both? (i) 2562 (ii) 5693 (iii) 2201 (iv) 7480 (v) 5296 (vi) 4062 (vii) 4568 (viii) 1425 (ix) 1110

• ### Problems on Divisibility Rules | Rules to Test of Divisibility | Test

Here are few problems on the divisibility rules of 2, 3, 4, 5, 6, 7, 8, 9, and 10 which will help the learners in revising their concepts on the divisibility rules. 1. Check whether 3456 is divisible by 2? Solution: The last digit is an even number (i.e. 6) hence 3456 is

• ### Divisible by 10|Test of Divisibility by 10|Rules of Divisibility by 10

The divisibility rule of 10 states that If the last digit of a number is 0 then the given number is divisible by 10. For eg: Check whether 5400 is divisible by 10 or not? Solution: As the last digit of the number is 0 hence, 5400 is divisible by 10

• ### Divisible by 9 | Test of Divisibility by 9 |Rules of Divisibility by 9

This rule states that a number is divisible by 9 if the sum of its digits of the number is divisible by 9 For eg: Check whether 729 is divisible by 9 or not? Sum of the digits = 7 + 2 + 9 = 18 Now 18 is divisible by 9 hence, 729 is also divisible by 9 Here are few examples

• ### Divisible by 8 | Test of Divisibility by 8 |Rules of Divisibility by 8

The most common method to check whether a number is divisible by 8 is to divide and see if the quotient is a whole number or not? If the quotient is a whole number then the given number is divisible by 8. But there is an easier way to check by using the divisibility rule.

• ### Divisible by 7 | Test of Divisibility by 7 |Rules of Divisibility by 7

This rule states that if the difference between twice the digit at units place and the number formed from the remaining digits of the given number is divisible by 7 then the whole number is divisible by 7.

• ### Divisible by 6 | Test of divisibility by 6 |Rules of Divisibility by 6

This topic on divisible by 6 will discuss about the divisibility rule of 6 and few example on the same. Divisibility rule of 6: A number is divisible by 6 if the prime factor of that is 2 & 3 is divisible by 6. For Example: 216 216 is divisible by 2 as the last digit 6 is

• ### Divisible by 5 | Test of divisibility by 5 |Rules of Divisibility by 5

This topic on divisible by 5 will discuss on the divisibility rule of 5 and illustrate few example on the same. Divisibility Rule of 5: If a number ends with 0 or 5 then the number is divisible by 5. For Example: 550 Since the number ends with 0 hence the number is divisible