Divisible by 4

A number is divisible by 4 if the number is formed by its digits in ten’s place and unit’s place (i.e. the last two digits on its extreme right side) is divisible by 4.

Consider the higher multiples of 4: 100, 104, 108, 112, 116, 120, 124, .........

The number formed by last two digits in each case is divisible by 4.

A number is divisible by 4 if the number formed by the last two digits is divisible by 4 or if both the digits are zeroes.

Divisibility Rule for 4 Video

Subscribe to our YouTube channel for the latest videos, updates, and tips.


1. Consider the following numbers which are divisible by 4 or which are divisible by 4, using the test of divisibility by 4:

(i) 124

In 124 the last two digits on its extreme right side is 24 which is divisible by 4.

Hence, 124 is divisible by 4.


(ii) 117

In 117 the last two digits on its extreme right side is 17 which is not divisible by 4.

Hence, 117 is not divisible by 4.


(iii) 204

In 204 the last two digits on its extreme right side is 04 which is divisible by 4.

Hence, 204 is divisible by 4.

 

(iv) 129

In 129 the last two digits on its extreme right side is 29 which is not divisible by 4.

Hence, 129 is not divisible by 4.

 

(v) 135

In 135 the last two digits on its extreme right side is 35 which is not divisible by 4.

Hence, 135 is not divisible by 4.

 

(vi) 108

In 108 the last two digits on its extreme right side is 08 which is divisible by 4.

Hence, 108 is divisible by 4.

 

(vii) 116

In 116 the last two digits on its extreme right side is 16 which is divisible by 4.

Hence, 116 is divisible by 4.

 

(viii) 150

In 150 the last two digits on its extreme right side is 50 which is not divisible by 4.

Hence, 150 is not divisible by 4.

 

(ix) 132

In 132 the last two digits on its extreme right side is 32 which is divisible by 4.

Hence, 132 is divisible by 4.

 

(x) 194

In 194 the last two digits on its extreme right side is 94 which is not divisible by 4.

Hence, 194 is not divisible by 4.


2. Is 56724 divisible by 4?

Solution:

Here, the number formed by the last two digits is 24, which is divisible by 4.

Hence, 56724 is divisible by 4.

We can verify that 56724 is divisible by 4 by actual division.


Divisible by 4


Worksheet on Divisible by 4:

1. Choose the numbers which are divisible by 4 

32       37       44       115       304       508       732       535


Answer: 32, 44, 304, 508, 732


2. Which of the following numbers are divisible by 4?

(i) 558

(ii) 724

(iii) 9648

(iv) 4200

(v) 1115

(vi) 3044

(vii) 31168

(viii) 49,013


Answer:

2. (ii) 724

(iii) 9648

(iv) 4200

(vi) 3044

(vii) 31168

You might like these

 Divisibility Rules.

Properties of Divisibility.

Divisible by 2.

Divisible by 3.

Divisible by 4.

Divisible by 5.

Divisible by 6.

Divisible by 7.

Divisible by 8.

Divisible by 9.

Divisible by 10.

Problems on Divisibility Rules

Worksheet on Divisibility Rules





5th Grade Math Problems 

From Divisible by 4 to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. Multiplication by Ten, Hundred and Thousand |Multiply by 10, 100 &1000

    May 01, 25 11:57 PM

    Multiply by 10
    To multiply a number by 10, 100, or 1000 we need to count the number of zeroes in the multiplier and write the same number of zeroes to the right of the multiplicand. Rules for the multiplication by 1…

    Read More

  2. Adding and Subtracting Large Decimals | Examples | Worksheet | Answers

    May 01, 25 03:01 PM

    Here we will learn adding and subtracting large decimals. We have already learnt how to add and subtract smaller decimals. Now we will consider some examples involving larger decimals.

    Read More

  3. Converting Fractions to Decimals | Solved Examples | Free Worksheet

    Apr 28, 25 01:43 AM

    Converting Fractions to Decimals
    In converting fractions to decimals, we know that decimals are fractions with denominators 10, 100, 1000 etc. In order to convert other fractions into decimals, we follow the following steps:

    Read More

  4. Expanded Form of a Number | Writing Numbers in Expanded Form | Values

    Apr 27, 25 10:13 AM

    Expanded Form of a Number
    We know that the number written as sum of the place-values of its digits is called the expanded form of a number. In expanded form of a number, the number is shown according to the place values of its…

    Read More

  5. Converting Decimals to Fractions | Solved Examples | Free Worksheet

    Apr 26, 25 04:56 PM

    Converting Decimals to Fractions
    In converting decimals to fractions, we know that a decimal can always be converted into a fraction by using the following steps: Step I: Obtain the decimal. Step II: Remove the decimal points from th…

    Read More