Multiples of 48
Multiples of a number "n" can be obtained by using the table of "n". Thus, the alternate to obtain the multiples of 48 is by using the table of 48. Multiples of 48 are the numbers which we get as the result of the product of 48 with Natural numbers. In other words, multiples of 48 are the numbers which when divided by 48 leave no remainder. One can obtain n numbers of multiples of 48 just by multiplying it by n natural numbers. In this minilesson, we will calculate the multiples of 48, and interesting facts about these multiples with solved examples and interactive questions.
 First five multiples of 48: 48, 96, 144, 192 and 240
 Prime Factorization of 48: 48 = 2 × 2 × 2 × 2 × 3 = 2^{4} × 3
1.  What Are the Multiples of 48? 
2.  First 20 Multiples of 48 
3.  Important Notes 
4.  Thinking Out of The Box! 
5.  FAQs on Multiples of 48 
What Are the Multiples of 48?
Multiples of 48 are the numbers which can be obtained by multiplying 48 with integers. When 48 is multiplied with a positive integer, we get a positive multiple of 48 and when 48 is multiplied with a negative integer, we obtain negative multiples. For example: 48 × 3 = 144
The multiples of 48 are all even numbers. All the multiples of 48 are divisible by 48.
List of First 20 Multiples of 48
Multiplication is also known as repeated addition. For example, 48 + 48 = 2 × 48 = 96 and 48 + 48 + 48 + 48 + 48 = 5 × 48 = 240
Hence, 96 and 240 are the 2^{nd} and 5^{th} multiples of 48 respectively. They can be obtained by adding 48 repeatedly or by simply multiplying 48 with the integers 2 and 5. The multiples of 48 can also be calculated by multiplying 48 with natural numbers 1, 2, 3, etc. Let's find the first 20 multiples of 48 by multiplying 48 by each of the natural numbers from 1 to 20.
Multiply 48 by the numbers from 1 to 20 
Multiples of 48 

48 × 1  48 
48 × 2  96 
48 × 3  144 
48 × 4  192 
48 × 5  240 
48 × 6  288 
48 × 7  336 
48 × 8  384 
48 × 9  432 
48 × 10  480 
48 × 11  528 
48 × 12  576 
48 × 13  624 
48 × 14  672 
48 × 15  720 
48 × 16  768 
48 × 17  816 
48 × 18  864 
48 × 19  912 
48 × 20  960 
To understand the concept of finding multiples, let us look at a few more examples.
 Multiples of 4  The first five multiples of 4 are 4, 8, 12, 16 and 20.
 Multiples of 6  The first five multiples of 6 are 6, 12, 18, 24, and 30.
 Multiples of 8  The first five multiples of 8 are 8, 16, 24, 32, and 40.
 Multiples of 12  The first five multiples of 12 are 12, 24, 36, 48, and 60.
 Multiples of 16  The first five multiples of 16 are 16, 32, 48, 64 and 80.
 Multiples of 24  The first five multiples of 24 are 24, 48, 72, 96 and 120.
Important Notes:
 The number of multiples for a given number are infinite.
 Every number is always a multiple of itself.
 A multiple of the given number is always equal to or greater than the number.
Think Tank:
 The least common multiple of 48 and 8 is 48. Similarly, the least common multiple of 48 and 12 is 48. Can you identify the property which a number and its multiple has based on this information?
 What will be the GCF of the above numbers and how is it related to their LCM?
Multiples of 48 Solved Examples

Example 1: There are 720 students in a school. If there are 15 students in one classroom. Can you determine whether the total number of classrooms in school in multiples of 48 or not?
Solution:
There are 720 students in a school and one classroom has 15 students.
The total number of classrooms are, 720/15 = 48.
48 is a multiple of 48
Hence, the total number of classrooms in school in multiples of 48. 
Example 2: Are any of the first ten multiples of 48 odd?
Solution:
The first ten multiples of 48 are, 48, 96, 144, 192, 240, 288, 336, 384, 432 and 480.
As all the multiples of 48 are divisible by 2 hence, the first ten multiples of 48 are not odd.
FAQs on Multiples of 48
How many multiples does 48 have?
The number of multiples of any number is infinite. For example: 48, 96, 144 etc.
Are all the multiples of 48 always odd?
No, all the multiples of 48 are not always odd.
What is the sum of first five multiples of 48?
First five multiples of 48 are, 48, 96, 144, 192 and 240.
Hence, the sum of first five multiples of 48 is 720.
What is the least common multiple of 48 and 60?
The least common multiple of 48 and 60 can be calculated using the formula: (48 × 60)/GCF(48, 60).
Here GCF(48, 60) is referred as the greatest common factor of 48 and 60.
GCF(48, 60) = 12
LCM(48, 60) = (48 × 60)/GCF(48, 60) = 4 × 60 = 240
Are there any negative multiples of 48?
Yes, there are negative multiples of 48.
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