What Are the Multiples of 9?

The first 10 multiples of 9 are 9, 18, 27, 36, 45, 54, 63, 72, 81, and 90. The multiples of 9 are the numbers that can be completely divided by the number 9 without leaving any remainder. There are an infinite number of multiples of 9.

With this article, you can get a clear idea of what are the multiples of 9, how to calculate them using the multiplication and repeated addition method, a list of multiples up to 1000, and a few solved examples related to the multiples of 9. Scroll down to find out more!

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What Are the Multiples of 9?

The multiples of 9 are the numbers that are completely divisible by 9, meaning the remainder will be zero. You can calculate the multiples of 9 by multiplying 9 with a sequence of numbers like 1, 2, 3, etc. In the table shown below, you see that 9 is getting multiplied repeatedly with a sequence of numbers from 1 to 10. The results obtained are termed as the multiples of 9.

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

How to Find the Multiples of 9?

To find the multiples of 9, you can use the multiplication or the repeated addition method of mathematics. You can perform a repeated addition of the number 9 or multiply the number 9 with a sequence of natural numbers. The method of both multiplication and repeated addition to find out the multiples of 9 is given below:

Finding Multiples of 9 Using the Repeated Addition	Finding Multiples of 9 Using Multiplication
9 9+9=18 9+18=27 9+9=36 9+9=45 9+9=54	9X1=9 9X2=18 9X3=27 9X4=36 9X5=45

Finding First 20 Multiples of 9 Using the Multiplication Method

The steps included in finding the first 20 multiples of 9 using the multiplication method are given below:

Step 1: To calculate the first 20 multiples of 9, first create a table with the sequence of numbers from 1 to 20.
Step 2: Now, using the repeated multiplication method, multiply 9 with the sequence of numbers from 1 to 20, as shown in the table below:

Multiply 9 by the numbers 1 to 20	Multiples of 9
9X1	9
9X2	18
9X3	27
9X4	36
9X5	45
9X6	54
9X7	63
9X8	72
9X9	81
9X10	90
9X11	99
9X12	108
9X13	117
9X14	126
9X15	135
9X16	144
9X17	153
9X18	162
9X19	171
9X20	180

What Are the Multiplies of 9 Up to 1000?

The multiples of 9 up to 1000 are given below;

9	18	27	36	45	54	63	72	81	90
99	108	117	126	135	144	153	162	171	180
189	198	207	216	225	234	243	252	261	270
279	288	297	306	315	324	333	342	351	360
369	378	387	396	405	414	423	432	441	450
459	468	477	486	495	504	513	522	531	540
549	558	567	576	585	594	603	612	621	630
639	648	657	666	675	684	693	702	711	720
729	738	747	756	765	774	783	792	801	810
819	828	837	846	855	864	873	882	891	900
909	918	927	936	945	954	963	972	981	990
999	–	–	–	–	–	–	–	–	–

Properties of Multiples of 9

Here are a few properties of multiples of 9:

• The smallest multiple of 9 is the number 9.
• Every number that is a multiple of 9 is greater than or equal to the number 9.
• If you calculate the difference between the numbers which have the same set of digits, the difference will be a multiple of 9. For example, take the numbers 217 and 127. The difference between them is 90, 217-127=90. 90 is the 10th multiple of 9. Another example is 865-568=297. 297 is the 33rd multiple of 9.
• Since there are an unlimited number of possible multiples of a number, the number 9 has an infinite number of multiples.

Find Multiples of More Numbers Here

Multiples of 6	Multiples of 7	Multiples of 8
Multiples 10	Multiples of 11	Multiples of 12

Solved Examples of Multiples of 9

Q 1: How do you find multiples of 9?
A 1: You can find multiples of 9 either using two methods namely – Repeated Addition and Multiplication.
1. The Multiplication Method: Multiply the digits by 9 to determine multiples of that number.
Example:
9 X 1 = 9,
9 X 2 = 18,
9 X 3 = 27 etc.,
2. Repeated Addition: Also you can find multiples of 8 by performing repeated addition.
Example:
9
9 + 9 = 18,
18 + 9 = 27 etc.,.

Q 2: What are the first five multiples of 9?
A 2: The first five multiples of 9 are 9, 18, 27, 36, and 45.

Q 3: What are the multiples of 9 between 20 and 60?
A 3: The multiples of 9 between 20 and 60 are 27, 36, 45, and 54.

Q 4: Is 180 a multiple of 9?
A 4: Yes, 180 is the 20th multiple of 9.

Q 5: What is the sum of the first 6 multiples of 9?
A 5: To calculate the sum of the first 6 multiples of 9, you need to find out the first 6 multiples of 9. The first 6 multiples of 9 are 9, 18, 27, 36, 45, and 54. Now add the first 6 multiples of 9; 9+18+27+36+45+54=189. So the sum of the first six multiples of 9 is 189.

Q 6: Is 15 a multiple of 9?
A 6: No, 15 is not a multiple of 9.

Q 7: What are the least common multiples of 4 and 9?
A 7: The least common multiple is the common multiple of 4 and 9 which has the lowest value. Let’s calculate the least common multiple of 4 and 9.
The first five multiples of 9 are 9, 18, 27, 36, and 45.
Listing the multiples of 4 till we find a common multiple with multiples of 9. The multiples of 4 are 4, 8, 16, 20, 24, 28, 32, and 36.
Hence, the common multiple of 4 and 9 is 36.

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