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Multiples of 72
72 is the sum of four consecutive primes (13 + 17 + 19 + 23) as well as the sum of six consecutive primes (5 + 7 + 11 + 13 + 17 + 19). It is an even composite number. Just remember the multiplication tables to know the multiples.
 First five multiples of 72: 72, 144, 216, 288, and 360
 Prime factorization of 72: 72 = 2 × 2 × 2 × 3 × 3
Let us explore more about the multiples of 72 and their properties.
1.  What Are the Multiples of 72? 
2.  First 20 Multiples of 72 
3.  Important Notes 
4.  Tips and Tricks 
5.  FAQs on Multiples of 72 
What Are the Multiples of 72?
Multiples are numbers that we get when we multiply one whole number by another whole number. 72 x any whole number = A multiple of 72
 We get the nth multiple of 72 by doing 72 x n. The 12th^{ }multiple of 72 is 72 x 12 = 864.
 We get the successive multiples of 72 by skip counting or repeated addition. 72 + 72 + 72 + 72 = 4 x 72 = 288 and the 5th multiple of 72 is 288 + 72 = 360.
 All the multiples of 72 are also the multiples of its factors. For example, 72 = 8 x 9. 8 and 9 are factors of 72. 72 is a multiple of 8 as well as 9.
List of First 20 Multiples of 72
Let us list the first 20 multiples of 72.
Multiples of 72 

72 × 1 = 72 
72 × 2 = 144 
72 × 3 = 216 
72 × 4 = 288 
72 × 5 = 360 
72 × 6 = 432 
72 × 7 = 504 
72 × 8 = 576 
72 × 9 = 648 
72 × 10 = 720 
72 ×11 = 792 
72 × 12 = 864 
72 x 13 = 936 
72 x 14 = 1008 
72 x 15 = 1080 
72 × 16 = 1152 
72 × 17 = 1224 
72 × 18 = 1296 
72 × 19 = 1368 
72 × 20 = 1440 
To understand the concept of finding multiples, let us take a few more examples.
 Multiples of 60  The first five multiples of 60 are 60, 120, 180, 240, 300.
 Multiples of 75  The first five multiples of 75 are 75, 150, 225, 300, 375.
 Multiples of 18  The first five multiples of 18 are 18, 36, 54, 72, 90.
 Multiples of 36 The first five multiples of 36 are 36, 72, 108, 144, 180.
 Multiples of 15  The first five multiples of 15 are 15, 30, 45, 60, 75.
Important Notes
 A number can have infinite multiples. The multiples of 72 are infinite.
 Multiply 72 by any whole number and get the multiples of 72.
 Multiples of 72 are obtained by repeatedly adding 72.
Tips and Tricks
 To check if a number is a multiple of 72, divide it by 72.
 Add 72 to a multiple of 72 to get the successive multiple.
 72 × whole number = whole number × 72 = multiple of 72. Example, 72 × 8 = 8 × 72
Multiples of 72 Solved Examples

Example 1: Alex gives a handshake to every 72nd visitor in his restaurant. If he has shaken hands 22 times now, how many visitors has he got so far?
Solution: On the first handshake, the visitors he had 1 × 72 = 72
On the 10th^{ }shake, the visitors = 10 × 72 = 720
On the 22nd^{ }handshake, the visitors he had = 22 × 72 = 1584
He has got 1584 visitors.

Example 2: Sam builds a rectangle using blocks of 8 rows and 9 columns. If he raises this rectanglular tower by 15 more layers, how many blocks will be there in all?
Solution: The number of blocks in the rectangle = 8 rows × 9 columns
8 × 9 = 72 blocks
If there are 15 more layers, then the number of blocks is 15 layers × 72 blocks
15 × 72 = 1080 blocks
FAQs on Multiples of 72
What are the multiples of 72?
The multiples of 72 are the product obtained by multiplying 72 with whole numbers.
What are the 10th and 100th multiples of 72?
The 10th multiple of 72 is 72 × 10 = 720 and the 100th multiple of 72 is 72 × 100 = 7200.
What is the first multiple of 72?
The first multiple of 72 is 72.
What 3 numbers have a product of 36?
The 3 possible numbers which give the product as 36 are (1,1,36), (1,3,12), (1,2,18), (1,6,6), (1,4,9), (2,3,6), (2,2,9), and (3,3,4).
What are the common multiples of 72 and 24?
The multiples of 24 are 24, 48, 72, 96,120, 144, 168, 192, 216, and so on.
The multiples of 72 are 72, 144, 216, 288, 360, 432, 504, and so on.
The common multiples of 72 and 24 are 72, 144, 216, 288, 360, and so on.
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