Multiples of 4
Did you know that 4 is the only number that is equal to the number of letters in its name? In this minilesson, we will discuss about the multiples of 4 and learn interesting facts about these multiples.
 First five multiples of 4: 4, 8, 12, 16, 20
 Prime factorization of 4: 4 = 2 × 2 = 2^{2}
1.  What Are the Multiples of 4? 
2.  Important Notes 
3.  First 20 Multiples of 4 
4.  FAQs on Multiples of 4 
5.  Challenging Questions 
What Are the Multiples of 4?
To get the multiples of a number, we need to multiply natural numbers with integers. A multiple is a product of a number with another number. If X is a multiple of a and b, it means a × b = X. Here a and b are natural numbers and X is the resultant multiple. Below are few examples to justify the above definition mathematically. For example, 4 × 9 = 36. 36 is a multiple of 9 and 4.
Now consider
 4 × 1 = 4
 4 × 2 = 8
 4 × 3 = 12
 4 × 4 = 16
Look at the number line below and observe the pattern showing multiples of 4.
In the number line above, do you observe that the multiples of 4 have a pattern of addition hidden? Yes, you just learned another method to find multiples, i.e., addition of a number to itself. According to this, the first five multiples you just learned are 4, 8, 12, 16, and 20.
Important Notes:
 Here is a list of the most important and useful identities.
 The first multiple of every number is the number itself, 4 × 1 = 4
 The multiples of a number are an infinite chain.
4 × 1 = 4
4 × 2 = 8
4 × 3 = 12
4 × 4 = 16 and so on  Every multiple of a number is greater than or equal to the number itself.
4 × 1 = 4 (4=4)
4 × 2 = 8, (8>4)
4 × 3 = 12,(12>4)
4 × 4 =16,(16>4) and so on  Multiples of an even number are always even.

A multiple is termed to be a common multiple if it is common to two or more numbers.
Example:
9 × 2 = 18
2 × 9 = 18
18 is a common multiple of 9 and 2.
List of First 20 Multiples of 4
In the above section, you have learned about the first 5 multiples of 4. In this section, you will be finding the next 15 multiples of 4
Please use a number line.
Hurray! In the end, you have a total of 20 multiples of 4. If you separate the alternate numbers after 8, that is 16, 24, 32, etc. each one of them is a multiple of 8.
To understand the concept of finding multiples, let us take a few more examples.
 Multiples of 5  The first five multiples of 5 are 5, 10, 15, 20, 25
 Multiples of 6  The first five multiples of 6 are 6, 12, 18, 24, 30
 Multiples of 7  The first five multiples of 7 are 7, 14, 21, 28, 35
 Multiples of 8  The first five multiples of 8 are 8, 16, 24, 32, 40
 Multiples of 9  The first five multiples of 9 are 9, 18, 27, 36, 45
Challenging Questions:
 Can you find the multiples of 4, multiples of 9, and multiples of 15? Can you find their factors as well?
Multiples of 4 Solved Examples

Example 1: October 4 is celebrated as World Animal Welfare Day. Can you find the multiples of 4 and multiples of 9 in the month of October?
Solution:
We have a total of 31 days in the month of October. Every 4th day is a multiple of 4 in the calendar.
Multiples of 4 in the calendar are: 4 × 1 = 4
 4 × 2 = 8
 4 × 3 = 12
 4 × 4 = 16
 4 × 5 = 20
 4 × 6 = 24
 4 × 7 = 28
Multiples of 9 in the calendar are:
 9 × 1 = 9
 9 × 2 = 18
 9 × 3 = 27
Hence, multiples of 4 in the calendar are 4, 8, 12, 16, 20, 24, and 28 and multiples of 9 in the calendar are 9, 18, and 27.

Example 2: With the help of the calendar, find out the common multiples of 4 and 3 in the month of October. Also, find the multiples of 15.
Solution:
We have a total of 31 days in the month of October. According to the calendar, every 3rd day is a multiple of 3 and every 4th day is a multiple of 4. On counting altogether, we have 12 and 24 as common multiples of 3 and 4 in the month of October.
The multiples of 15 in the calendar are:
 15 × 1 = 15
 15 × 2 = 30
Hence, common multiples of 4 and 3 are 12 and 24. Multiples of 15 are 15 and 30.
FAQs on Multiples of 4
What are the common multiples of 3 and 4?
Common multiples of 3 and 4 are infinite.
They are 12, 24, 36, and so on.
What are the 5 multiples of 4?
There are infinite multiples of 4. The first 5 multiples of 4 are:
 4 × 1 = 4
 4 × 2 = 8
 4 × 3 = 12
 4 × 4 = 16
 4 × 5 = 20
Are the multiples of 4 always even?
Yes. We know that 4 is an even number and multiples of an even number are always even.
What is the least common multiple of 4 and 6?
The least common multiples of two numbers 4 and 6 can be calculated using the formula: product of the numbers/GCF of the numbers where GCF(4, 6) is the greatest common factor of 4 and 6.
GCF(4, 6) = 2
LCM(4, 6) = (4 × 6)/GCF(4, 6) = 24/2 = 12
Is 2 a multiple of 4?
No, 2 is not a multiple of 4.