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
You might like these
Divisible by 10 is discussed below. A number is divisible by 10 if it has zero (0) in its units place. Consider the following numbers which are divisible by 10, using the test of divisibility by 10:
Divisible by 5 is discussed below: A number is divisible by 5 if its units place is 0 or 5. Consider the following numbers which are divisible by 5, using the test of divisibility by
A number is divisible by 9, if the sum is a multiple of 9 or if the sum of its digits is divisible by 9. Consider the following numbers which are divisible by 9, using the test of divisibility by 9:
Divisible by 6 is discussed below: A number is divisible by 6 if it is divisible by 2 and 3 both. Consider the following numbers which are divisible by 6, using the test of divisibility by 6: 42
A number is divisible by 3, if the sum of its all digits is a multiple of 3 or divisibility by 3. Consider the following numbers to find whether the numbers are divisible or not divisible by 3: (i) 54 Sum of all the digits of 54 = 5 + 4 = 9, which is divisible by 3.
The product of highest common factor (H.C.F.) and lowest common multiple (L.C.M.) of two numbers is equal to the product of two numbers i.e., H.C.F. × L.C.M. = First number × Second number or, LCM × HCF = Product of two given numbers
To find out factors of larger numbers quickly, we perform divisibility test. There are certain rules to check divisibility of numbers. Divisibility tests of a given number by any of the number 2, 3, 4, 5, 6, 7, 8, 9, 10 can be perform simply by examining the digits of the
We will discuss here about the method of h.c.f. (highest common factor). The highest common factor or HCF of two or more numbers is the greatest number which divides exactly the given numbers. Let us consider two numbers 16 and 24.
What are the prime and composite numbers? Prime numbers are those numbers which have only two factors 1 and the number itself. Composite numbers are those numbers which have more than two factors.
What are multiples? ‘The product obtained on multiplying two or more whole numbers is called a multiple of that number or the numbers being multiplied.’ We know that when two numbers are multiplied the result is called the product or the multiple of given numbers.
In 4th grade factors and multiples worksheet we will find the factors of a number by using multiplication method, find the even and odd numbers, find the prime numbers and composite numbers, find the prime factors, find the common factors, find the HCF(highest common factors
Examples on multiples on different types of questions on multiples are discussed here step-by-step. Every number is a multiple of itself. Every number is a multiple of 1. Every multiple of a number is either greater than or equal to the number. Product of two or more numbers
In worksheet on word problems on H.C.F. and L.C.M. we will find the greatest common factor of two or more numbers and the least common multiple of two or more numbers and their word problems. I. Find the highest common factor and least common multiple of the following pairs
Let us consider some of the word problems on l.c.m. (least common multiple). 1. Find the lowest number which is exactly divisible by 18 and 24. We find the L.C.M. of 18 and 24 to get the required number.
Let us consider some of the word problems on H.C.F. (highest common factor). 1. Two wires are 12 m and 16 m long. The wires are to be cut into pieces of equal length. Find the maximum length of each piece. 2.Find the greatest number which is less by 2 to divide 24, 28 and 64
● 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.
Share this page:
What’s this?
|
|
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.