What are The Multiples of 12? | Multiples of 12 up to 1000 (2023)

The first ten multiples of the number 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, and 120. The difference between any two consecutive numbers in the sequence of the multiples of 12, is always 12.

The list of the natural numbers which can be completely divided by the number 12 and leave a remainder of zero are the multiples of 12.

In this article, we will discuss the multiples of 12 and how to calculate them in a simple way.

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What are the Multiples of 12?

The multiples of 12 can be termed as the numbers that are produced by multiplying 12 with a sequence of numbers like 1, 2, 3, 4, etc.

For example, 12 X 1 = 12, 12 X 2 = 24, 12 X 3 = 36, and 12 X 4 = 48, etc. Hence, 12 is the first multiple of 12, 22 is the second multiple of 12, 36 is the 3rd multiple of 12, 48 is the 4th multiple of 12, and so on.

Alternatively, the multiples of 12 are the numbers which when divided by 12 do not leave any remainder.

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The first 10 multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, and 120

What are The Multiples of 12? | Multiples of 12 up to 1000 (1)

What are the first five Multiples of 12?

To find the first five multiples of 12, we will have to multiply the numbers 12 by 1, 2, 3, 4, and 5. The detailed steps on how to do this are given below:

  • Step 1: To find the first multiple of 12, multiply 12 by 1. 12 X 1 = 12.
  • Step 2: To find the second multiple of 12, multiply 12 by 2. 12 X 2 = 24. Alternatively, you can add 12 two times to get the second multiple of 12. 12 + 12 = 24.
  • Step 3: Multiply 12 by 3 to get the third multiple of 12. 12 X 3 = 36. Also, you can add 12 three times to get the third multiple of 12. 12 + 12 + 12 = 36.
  • Step 4: The fourth multiple of 12 can be found by multiplying 12 by 4. 12 X 4 = 48. Adding 12 four times will also give the fourth multiple of 12. 12 + 12 + 12 + 12 = 48.
  • Step 5: To find the fifth multiple of 12, you need to multiply 12 by 5. 12 x 5 = 60. Adding 12 five times will give us the fifth multiple of 12. 12 + 12 + 12 + 12 + 12 + 12 + 12 = 60.

Hence the first 5 multiples of 12 are 12, 24, 36, 48, and 60.

How to Find the Multiples of 12?

To find the multiples of the number 12, you need to perform a repeated addition of the number 12 or multiply the number 12 with a sequence of natural numbers. The steps to find the multiples of 12 using repeated addition and multiplication have been given below:

Finding Multiples of 12 using the repeated addition method

For this method, 12 itself will be the first multiple of 12. To obtain the second multiple of 12 add the sum of the first multiple with 12, i.e., 12+12=24. An example of the first five multiples of 12 is given below;

Finding multiples of 12 using the repeated addition
12
12+12=24
24+12=36
36+12=48
48+12=60

Finding Multiples of 12 using the multiplication method

For this method, the number 12 with the sequence of natural numbers to get the list of multiples of 12, for example, 12X1=12, 12X2=24, and so on. An example of the first five multiples of 12 is given below;

Finding multiples of 12 using the multiplication method
12X1=12
12X2=24
12X3=36
12X4=48
12X5=60

Finding the first 20 Multiples of 12

The steps included in finding the first 20 multiples of 12 using the multiplication method are given below:

Step 1: To calculate the first 20 multiples of 12, first create a table with the sequence of numbers from 1 to 20.

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Step 2: Now, using the repeated multiplication method, multiply 12 with the sequence of numbers from 1 to 20, as shown in the table below:

MultiplicationMultiples of 12
12 X 112
12 X 224
12 X 336
12 X 448
12 X 560
12 X 672
12 X 784
12 X 896
12 X 9108
12 X 10120
12 X 11132
12 X 12144
12 X 13156
12 X 14168
12 X 15180
12 X 16192
12 X 17204
12 X 18216
12 X 19228
12 X 20240

What are the Multiples of 12 up to 1000?

The multiples of 12 up to 1000 are given below:

1224364860728496108120
132144156168180192204216228240
252264276288300312324336348360
372384396408420432444456468480
492504516528540552564576588600
612624636648660672684696708720
732744756768780792804816828840
852864876888900912924936948960
972984996

Difference between Multiples and Factors of 12

The difference between multiples and factors of 12 can be summed up as:

  • Multiples of 12 are the list of natural numbers that when divided by 12 leave zero as their remainder. Alternatively, multiples of 12 are the numbers that are completely divisible by 12. The first 10 multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, and 120
  • Whereas, factors of 12 are the numbers which when multiples together produce 12 as their product. The factors of 12 are 1, 2, 3, 4, 6, and 12.

Solved examples of Multiples of 12

Q 1: What are the first 12 multiples of 12?
A 1:
The first 12 multiples are 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, and 144. This can be calculated by using the repeated addition or multiplication method of mathematics.

Q 2: How do you find multiples of 12?
A 2:
You can find multiples of 12 either using two methods namely – Repeated Addition and Multiplication.
1. The Multiplication Method: Multiply the digits by 12 to determine multiples of that number.
Example:
12 X 1 = 12,
12 X 2 = 24,
12 X 3 = 36 etc.,
2. Repeated Addition: Also you can find multiples of 12 by performing repeated addition.
Example:
12
12 + 12 = 24,
24 + 12 = 36 etc.,.

Q 3: What are the multiples of 12 between 20 and 70?
A 3:
The multiples of 12 between 20 and 70 are 24, 36, 48 and 60

Q 4: What are the multiples of 12 up to 200?
A 4:
The multiples of 12 up to 200 are 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180 and 192

Q 5: What is the sum of the first 12 multiples of 12?
A 5:
In order to find the sum of the first 12 multiples of 12 you need to find the first 12 multiples which are, 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, and 144. Adding the first 12 multiples the sum is 936.

(Video) Multiples of 12

Q 6: What is the least common multiple of 12 and 3?
A 6:
Least common multiple is the lowest common multiple. To find the least common multiple let us list out a few multiples of 12 and 3.
The first five multiples of 12 are 12, 24, 36, 48, and 60.
The first five multiples of 3 are 3, 6, 9, 12, and 15.
Hence, the least common multiple of 12 and 3 is 12.

Q 7: Find the average of the first 12 multiples of 12.
A 7:
The first 12 multiples of 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, and 144.
Now, to calculate the average of the first 12 multiples of 12, calculate the sum of the first 12 multiples of 12 and then divide it by 12:
12+24+36+48+60+72+84+96+108+120+132+144=936
936/12=78
Hence, the average of the first 12 multiples of 12 is 78.

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FAQs on Multiples of 12

What are the multiples of 12?
Any number that can be written in the 12n form, where n is an integer, is considered a multiple of 12. All the multiples of 12 are completely divisible by 12 leaving 0 as the remainder.

What is the average of the first 5 multiples of 12?
The first five multiples of 12 are 12, 24, 36, 48, and 60. Now to calculate the average of the first 5 multiples of 12, calculate the sum of all the first five multiples of 12 and then divide it by 5:
12+24+36+48+60=180
180/5=36.
Hence, the average of the first five multiples of 12 is 36.

What are all the multiples of 12?
Since there are an unlimited number of possible multiples of a number, the number 12 hasan infinitenumber of multiples. Some of the multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180 etc.

What are the first three common multiples of 12 and 18?
The first three common multiples of 12 and 18 are 36, 72, and 108.

List the first five multiples of 12.
The five multiples of 12 are 12, 24, 36, 48, and 60.

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What are the least common multiples of 12 and 16?
The least common multiple between two numbers is the lowest common multiple between two numbers. So let’s find the least common multiple of 8 and 12.
The first five multiples of 12 are 12, 24, 36, 48, and 60.
The first five multiples of 16 are 16, 32, 48, 64, and 80.
Hence the least common multiple of 12 and 16 is 48.

What are the first four multiples of 12?
The first four multiples of 12 are 12, 24, 36, and 48.

What are the first six multiples of 12?
The first six multiples of 12 are 12, 24, 36, 48, 60, and 72.

What are the first 10 multiples of 12?
The first 10 multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, and 120.

What are the multiples of 12 that are divisible by 3 and less than 100?
The multiples of 12 that are divisible by 3 and less than 100 are 12, 24, 27, 36, 48, 51, 60, 72, 84, and 96.

What are the least common multiples of 12 and 13?
Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180
Multiples of 13: 13, 26, 39, 52, 65, 78, 91, 104, 117, 130, 143,156,169, 182
The least common multiple of 12 and 13 is 156.

We hope you have understood everything about multiples of 12.

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