Multiples of 90
Multiples of 90 are the numbers that are obtained when we multiply 90 with natural numbers. In other words, multiples of 90 are the numbers that leave no remainder when they are divided by 90. One can obtain n number of multiples of 90 just by multiplying 90 by n natural numbers.
 First five multiples of 90: 90, 180, 270, 360, 450
 Prime Factorization of 90: 2 × 3^{2 }× 5
1.  What Are the Multiples of 90? 
2.  First 20 Multiples of 90 
3.  Important Notes 
4.  FAQs on Multiples of 90 
5.  Challenging Questions 
What Are the Multiples of 90?
Multiples of 90 are the numbers that can be divided by 90 without leaving any remainder. Interestingly, the multiples of 90 can be derived from the multiples of 9 by multiplying them by 10. The first five multiples of 9 are 9, 18, 27, 36, and 45. If we multiply each multiple of 9 by 10, the numbers obtained will be the multiples of 90.
 10 × 9 (Multiple of 9) = 90 (Multiple of 90)
 10 × 18 = 180
 10 × 27 = 270
 10 × 36 = 360
 10 × 45 = 450
Hence, the first five multiples of 90 are 90, 180, 270, 360, and 450.
List of First 20 Multiples of 90
The first 20 multiples of 90 are the numbers that we get when 90 is multiplied with the first 20 natural numbers (1 – 20). The table below lists the first 20 multiples of 90.
First 20 Multiples of 90 

90 × 1 = 90 
90 × 11 = 990 
90 × 2 = 180 
90 × 12 = 1080 
90 × 3 = 270 
90 × 13 = 1170 
90 × 4 = 360 
90 × 14 = 1260 
90 × 5 = 450 
90 × 15 = 1350 
90 × 6 = 540 
90 × 16 = 1440 
90 × 7 = 630 
90 × 17 = 1530 
90 × 8 = 720 
90 × 18 = 1620 
90 × 9 = 810 
90 × 19 = 1710 
90 × 10 = 900 
90 × 20 = 1800 
Explore multiples using illustrations and interactive examples
 Multiples of 60  The first five multiples of 60 are 60, 120, 180, 240, and 300.
 Multiples of 20  The first five multiples of 20 are 20, 40, 60, 80, and 100.
 Multiples of 30  The first five multiples of 30 are 30, 60, 90, 120, and 150.
 Multiples of 45  The first five multiples of 45 are 45, 90, 135, 180, and 225.
 Multiples of 5  The first five multiples of 5 are 5, 10, 15, 20, and 25.
Important notes:
 Every multiple of 90 has its unit's place as zero.
 Multiplying the multiples of 9 with 10 gives the multiples of 90.
 All the multiples of 90 are also the multiples of 9 and 10.
Challenging Questions:
 What is the smallest multiple of 90 which is a perfect cube?
 What is the least common multiple of 90, 60, and 150?
Multiples of 90 Solved Examples

Example 1: On a highway, there is a fuel station every 90 miles and a restaurant every 120 miles. After how many miles, would you find a fuel station and a restaurant at the same place?
Solution:
Distance between two fuel stations = 90 km
Therefore, there will be a fuel station at 90 km, 180 km, 270 km, 360 km, 450 km….
Distance between two restaurants = 120 km
Therefore, there will be a restaurant at 120 km, 240 km, 360 km, 480 km, 600 km...
Thus, from the above, we can say that after 360 km, there will be a fuel station and restaurant at the same place. 
Example 2: Joey wants to find the smallest multiple of 90 which is a perfect square. Can you help Joey?
Solution:
Prime factorization of 90: 2 × 3^{2 }× 5
Perfect squares are the numbers that can be expressed as the product of the square of a number.
Thus, to make 90 a perfect square, we need to multiply it by 2 × 5 = 10.
Therefore, 90 × 10 = 900 and 900 is a perfect square.
FAQs on Multiples of 90
Are all the multiples of 90 multiples of 9 and 10?
Since 9 and 10 are the factors of 90, 90 is a multiple of both 9 and 10.
Therefore, all the multiples of 90 are multiples of 9 and 10.
What are the first 6 multiples of 90?
The first 6 multiples of 90 are 90, 180, 270, 360, 450, and 540.
What is the least common multiple of 90 and 60?
 Multiples of 90 are 90, 180, 270, 360, 450, .......
 Multiples of 60 are 60, 120, 180, 240, 300, .......
Hence, the least common multiple of 90 and 60 is 180.
Are the multiples of 90 always even?
Even numbers are those numbers that are multiples of 2. Since 2 is a factor of 90, 90 is a multiple of 2. Therefore, all the multiples of 90 are multiples of 2.
Hence, all the multiples of 90 are even.
What are the first 3 common multiples of 90 and 60
 Multiples of 90 are 90, 180, 270, 360, 450, 540, .......
 Multiples of 60 are 60, 120, 180, 240, 300, 360, 420, 480, 540.......
Thus, the first 3 common multiples of 90 and 60 are 180, 360, and 540.
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