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Multiples of 9

In Mathematics, the multiples of 9 are the numbers that are completely divisible by 9 without leaving any remainder. In other words, the multiple of 9 is the product of 9 with any natural number. For example, 27 is a multiple of 9, as it is the product of 9 and 3. Some of the examples of multiples of 9 include 9, 18, 56, 90, 900, and so on. In this article, we are going to learn what are the multiples of 9, a list of multiples of 9 with many solved examples in a detailed way.

What are the Multiples of 9?

Any number that can be denoted in the form 9n where n is a natural number, is a multiple of 9. So if two values p and q are there, we say that q is a multiple of p if q = np. In other words, the multiples of 9 are the numbers that leave no remainder (i.e. Remainder = 0), when it is divided by 9. 

First 10 Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90

For example, 9, 16, 900 and 99 are all multiples of 9 for the following reasons

81 = 9 x 9
18 = 9 x 2
900 = 9 x 100
99 = 9 x 11

(i.e) 81/9 = 9 and remainder is 0

18/9 = 2 and remainder is 0

900/9 = 100 and remainder is 0.

99/9 = 11 and remainder is 0.

Since the numbers are exactly divided by 9, the numbers 81, 18, 900, 99 are multiples of 9.

Also, read: Multiple of a Number

First 20 Multiples of 9

The list of first 20 multiples of 9 are as follows:

Multiplication of 9 with Natural Numbers Multiples of 9
9 x 1 9
9 x 2 18
9 x 3 27
9 x 4 36
9 x 5 45
9 x 6 54
9 x 7 63
9 x 8 72
9 x 9 81
9 x 10 90
9 x 11 99
9 x 12 108
9 x 13 117
9 x 14 126
9 x 15 135
9 x 16 144
9 x 17 153
9 x 18 162
9 x 19 171
9 x 20 180

Video Lesson on Common Multiples

Multiples of 9 Examples

Example 1: 

Find out the multiples of 9 from the list of numbers 18, 35, 54, 62, 81 and 91.

Solution:

Given that list of numbers are 18, 35, 54, 62, 81 and 91.

We know that the multiples of 9 are the numbers that are exactly divisible by 9.

Hence, the multiples of 9 are 18, 54 and 81.

But, the numbers 35, 62 and 91 are not the multiples of 9 as they leave some remainder value.

Example 2:

What is the least common multiple of 8 and 9?

Solution:

Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80

Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90

Hence, the least common multiple of 8 and 9 is 72.

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Frequently Asked Questions on Multiples of 9

What are the multiples of 9?

The multiples of 9 are the numbers that are obtained from multiplying 9 with the integers.

What are the first 10 multiples of 9?

The first 10 multiples of 9 are 9, 18, 27, 36, 45, 54, 63, 72, 81, 90.

What is the least common multiple of 9 and 18?

The least common multiple of 9 and 18 is 18.

Write the multiples of 9 between 20 and 40?

The multiples of 9 between 20 and 40 are 27 and 36.

What are the multiples of 9 that lies between 50 and 100?

The multiples of 9 that lies between 50 and 100 are 54, 63, 72, 81, 90 and 99.

Quiz on Multiples of 9

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