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Multiples

What Are the Multiples of 18? | All Multiples of 18 up to 1000

Written by Prerit Jain

Updated on: 12 Aug 2023

What Are the Multiples of 18? | All Multiples of 18 up to 1000

What Are the Multiples of 18? | All Multiples of 18 up to 1000

Multiples of 18: In mathematics, calculating the multiples of a number includes some easy methods. For a number to be a multiple of any number, it has to be completely divisible by that number without leaving any remainder.

Let’s find out the list of multiples of 18, how to find the multiples of 18 using the two simple and easy methods, and multiples 18 up to 20 and 1000. Scroll down to find more.

What Are the Multiples of 18?

Multiples of 18 are numbers that can be completely divisible by 18, leaving 0 as the remainder and a natural number as the quotient. Students often confuse factors with multiples, but those two are different concepts. For example, the factors of 18 are those numbers that can be multiplied together in order to get the number 18. Whereas, multiples of 18 can be written in the form of “np”, where “n” is considered as the sequence of natural numbers and “p” is the number of which you need to find the multiples.

multiples of 18
The first 10 multiples of 18 are 18, 36, 54, 72, 90, 108, 126, 144, 162, and 180.

How to Find the Multiples of 18?

There are two simple mathematical techniques you can use to determine the multiples of 18. One is the simple multiplication method, which requires you to add 18 to a series of whole numbers. The second approach is called the repeated addition method, and it involves adding the number 18 repeatedly in order to generate a list of multiples of 18. To understand the two methods, look at the examples given below:

Finding 18 Multiples Using the Multiplication Method

Simply multiply 18 by the series of natural numbers to find the multiples of 18 using the multiplication method. For example, to find the first five multiples of 18, multiply 18 by 1, 2, 3, 4, and 5.

Multiples of 18 using the multiplication method
18 X 1=18
18 X 2= 36
18 X 3= 54
18 X 4= 72
18 X 5= 90

Finding 18 Multiples Using Repeated Addition Method

For example, to obtain the first five multiples of 18, i.e., for the numbers 1, 2, 3, 4, and 5, simply add 18 with 0 to obtain the first multiple of 18, then add 18 with 18 to obtain the second multiple, which will be 36, then add 18 with 36 to obtain the third multiple of 18, then add 18 with 36 to obtain the fourth multiple of 18, and so on. See the table below for a detailed procedure.

Finding the multiples of 18 using the repeated addition method
18+0=18
18=18=36
18+36=54
18+54=72
18+72=90

Finding First 20 Multiples of 18 Using the Multiplication Method

The steps included in finding the first 20 multiples of 18 using the multiplication method are given below:

18X118
18X236
18X354
18X472
18X590
18X6108
18X7126
18X8144
18X9162
18X10180
18X11198
18X12216
18X13234
18X14252
18X15270
18X16288
18X17306
18X18324
18X19342
18X20360

What Are the Multiplies of 18 Up to 1000?

The multiples of 18 up to 1000:

1836547290108126144162180
198216234252270288306324342360
378396414432450468486504522540
558576594612630648666684702720
738756774792810828846864882900
918936954972990

Properties of the Multiples of 18

Here are a few properties of multiples of 18:

  • The smallest multiple of 18 is the number 18.
  • Every multiple of eighteen is greater than or equal to the number 18.
  • The number 18 has more factors than itself and 1, so it is considered a composite number.
  • The multiples of 18 consist of numbers that are doubles of multiples of 9.
  • 18 is the only number where the sum of its digits is equal to half of itself, 1+8=9. The half of 18 is 9, and 18/9=2.

Solved Examples on Multiples of 18

Q 1: How to calculate the 9th multiple of 18?
A 1:
As we are calculating the 9th multiple of 18, let’s take 9 as “n”,
18 X n= 18n
18 X 9n= 162
Therefore, the 9th multiple of 18 is 162.

Q 2: Mia attends her drawing classes every 18 days. If her first class is today then when will be her 4th class?
A 2:
If today is Mia’s first-class then her next class will be after 7 days
The second class will be after18 X 2= 36 days
The third class will be after 18 X 3=54
The fourth class will be after 18 X 4= 90. So, Mia’s 4th drawing class will be after 90 days.

Q 3: How do you find multiples of 18?
A 3:
You can find multiples of 18 either using two methods namely – Repeated Addition and Multiplication.
1. The Multiplication Method: Multiply the digits by 18 to determine multiples of that number.
Example:
18 X 1 = 18 ,
18 X 2 = 36,
18 X 3 = 54 etc.,
2. Repeated Addition: Also you can find multiples of 18 by performing repeated addition.
Example:
18 + 18 = 36,
36 + 18 = 54 etc.,.

Q 4: What are the first 18 multiples of 18?
A 4:
The first 18 multiples of 18 are 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216,234, 252, and 270.

Q 5: What is the sum of the first 18 multiples of 18?
A 5:
In order to find out the sum of the first 18 multiples of 18, we need to first obtain the first 18 multiples of 18, 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216,234, 252, and 270. Now, add the first 18 multiples of 18 which will be 1440.

FAQs on Multiples of 18

What are all the multiples of 18?
Since there are an unlimited number of possible multiples of a number, the number 18 has an infinite number of multiples.

How many three digits multiples of 18?
There are 43 three digits multiples of 18 and they are 108, 126, 144, 162, 180, 198, 216,234, 252, 270, 288, 306, 324, 342, 360, 378, 396, 414, 432, 450, 468, 486, 504, 522, 540, 558, 576, 594, 612, 630, 648, 666, 684, 702, 720, 738, 756, 774, 792, 810, 828, 846, 864, 882, 900, 918, 936, 954, 972 and 990.

What are the first five multiples of 18?
The first multiples of 18 are two digits numbers and they are 18, 36, 54, 72, and 90.

What are the first two common multiples of 18 and 12?
The first two common multiples of 18 and 12 are 36 and 72.

What is the least common multiple of 18 and 15?
The least common multiple of 18 and 15 is 90.

We hope that our above blog on multiples of 18 has helped you with your queries and has added some educational value to your life.

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Prerit Jain

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