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.

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.


Questions and Answers 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

 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 

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