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What Are The Multiples Of 90 ? Multiples Of The 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.

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First five multiples of 90: 90, 180, 270, 360, 450Prime Factorization of 90: 2 × 32 × 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

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 = 18010 × 27 = 27010 × 36 = 36010 × 45 = 450

Hence, the first five multiples of 90 are 90, 180, 270, 360, and 450.

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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.

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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

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 kmTherefore, there will be a fuel station at 90 km, 180 km, 270 km, 360 km, 450 km….Distance between two restaurants = 120 kmTherefore, 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.

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Interactive Questions

 

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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…….

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Thus, the first 3 common multiples of 90 and 60 are 180, 360, and 540.

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