Multiples of 36 are the numbers obtained from multiplying 36 by natural numbers, i.e. 1, 2, 3, etc. Finding the multiples of 36 can be done in several ways using arithmetic operations, such as multiplication, addition, division, and so on. In this article, you will learn the definition of multiples 36, a list of multiples 36 along with the differences between the factors and multiples of 36.
What are the Multiples of 36?
The multiples of 36 are 36, 72, 108, 144, 180, 216, 252, 288, 324, 360,… These are the first 10 multiples of 36 that are obtained by multiplying 36 with natural numbers from 1 to 10. We can also find the multiples of 36 by repeatedly adding 36. Thus, the first 10 multiples of 36 can be written using multiplication and addition as:
| First 10 Multiples of 36 | |
| 36 × 1 = 36 | 36 |
| 36 × 2 = 72 | 36 + 36 = 72 |
| 36 × 3 = 108 | 36 + 36 + 36 = 108 |
| 36 × 4 = 144 | 36 + 36 + 36 + 36 = 144 |
| 36 × 5 = 180 | 36 + 36 + 36 + 36 + 36 = 180 |
| 36 × 6 = 216 | 36 + 36 + 36 + 36 + 36 + 36 = 216 |
| 36 × 7 = 252 | 36 + 36 + 36 + 36 + 36 + 36 + 36 = 252 |
| 36 × 8 = 288 | 36 + 36 + 36 + 36 + 36 + 36 + 36 + 36 = 288 |
| 36 × 9 = 324 | 36 + 36 + 36 + 36 + 36 + 36 + 36 + 36 + 36 = 324 |
| 36 × 10 = 360 | 36 + 36 + 36 + 36 + 36 + 36 + 36 + 36 + 36 + 36 = 360 |
Facts about Multiples of 36
- The difference between consecutive multiples of 36 is always equal to 36
- 36 × m = Multiple of 36; where m is an integer
- pth multiple of 36 = 36 × p
- Multiples of 36 are exactly divisible by 36 without leaving any remainder
- Multiples of 36 are the results that are twice the multiples of 18 since 36 = 18 × 2.
Also, check: Multiples of 18
Multiples of 36 Table
The below table shows the first 20 multiples of 36, along with the multiplication notation for each multiple.
| Multiplication of 36 with numbers | Multiples of 36 |
| 36 × 1 | 36 |
| 36 × 2 | 72 |
| 36 × 3 | 108 |
| 36 × 4 | 144 |
| 36 × 5 | 180 |
| 36 × 6 | 216 |
| 36 × 7 | 252 |
| 36 × 8 | 288 |
| 36 × 9 | 324 |
| 36 × 10 | 360 |
| 36 × 11 | 396 |
| 36 × 12 | 432 |
| 36 × 13 | 468 |
| 36 × 14 | 504 |
| 36 × 15 | 540 |
| 36 × 16 | 576 |
| 36 × 17 | 612 |
| 36 × 18 | 648 |
| 36 × 19 | 684 |
| 36 × 20 | 720 |
The multiples of 36 table is similar to the multiplication table of 36.
List of Multiples of 36
| 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396, 432, 468, 504, 540, 576, 612, 648, 684, 720, 756, 792, 828, 864, 900, 936, 972, 1008, 1044, 1080, 1116, 1152, 1188, 1224, 1260, 1296, 1332, 1368, 1404, 1440, 1476, 1512, 1548, 1584, 1620, 1656, 1692, 1728, 1764, 1800, 1836, 1872, 1908, 1944, 1980,… |
Difference between Factors and Multiples of 36
The major differences between multiples and factors of 36 are tabulated as follows:
| Multiples of 36 | Factors of 36 |
| Multiples of a number are the n-times of the given number. Thus, multiples of 36 are in the form of 36n, where n is a natural number. | Factors of 36 are the numbers which when multiplied together, produce the original number 36. |
| Every multiple of 36 is divisible by 36 without leaving any number. | Every factor of 36 is an exact divisor of it. |
| Multiples of 36 are 36, 72, 108, 144, 180, etc. | Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. |
| Multiples of 36 are infinite since we can write an infinite number of multiples for a given number. | The number 36 has a finite number of factors, i.e. 9 factors. |
Video Lesson on Common Multiples
Examples on Multiples of 36
Example 1:
What are the common multiples of 36 and 48?
Solution:
The multiples of 36 are 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396, 432, 468, 504, 540, 576, 612, 648, 684, 720,…
The multiples of 48 are 48, 96, 144, 192, 240, 288, 336, 384, 432, 480, 528, 576, 624, 672, 720, 768, 816, 864, 912, 960,…
Thus, the common multiples of 36 and 48 are 144, 288, 576, and so on.
Example 2:
Write the multiples of 36 and 54.
Solution:
The multiples of 36 are 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396, 432, 468, 504, 540, 576, 612, 648, 684, 720,…
The multiples of 54 are 54, 108, 162, 216, 270, 324, 378, 432, 486, 540, 594, 648, 702, 756, 810, 864, 918, 972, 1026, 1080,…
Get Multiples of more numbers here
Multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, etc.
Multiples of 24 are 24, 48, 72, 96, 120, 144, 168, 192, 216, 240, etc.
Multiples of 27 are 27, 54, 81, 108, 135, 162, 189, 216, 243, 270, etc.
Multiples of 40 are 40, 80, 120, 160, 200, 240, 280, 320, 360, 400, etc.
Multiples of 42 are 42, 84, 126, 168, 210, 252, 294, 336, 378, 420, etc.
Multiples of 45 are 45, 90, 135, 180, 225, 270, 315, 360, 405, 450, etc.
Multiples of 54 are 54, 108, 162, 216, 270, 324, 378, 432, 486, 540, etc.
Multiples of 60 are 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, etc.
Frequently Asked Questions on Multiples of 36
What are the multiples of 36?
The multiples of 36 are the numbers obtained by multiplying 36 with numbers 1, 2, 3, and so on. Thus, the first five multiples of 36 are 36, 72, 108, 144, and 180.
What is the smallest multiple of 36?
The smallest multiple of 36 is the number itself, i.e. 36 since the multiples of a number is always greater than or equal to that number.
What are the factors of 36?
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.
Is the number 36 a multiple of 9?
Yes, 36 is a multiple of 9. This can be justified as:
9 × 4 = 36, i.e. the fourth multiple of 9 is 36.
9 is the factor of 36.
Is 36 a multiple of 4? Give reason.
Yes, 36 is a multiple of 4 for the following two reasons:
Reason 1: 9th multiple of 4 is 36, i.e. 4 × 9 = 36
Reason 2: 4 is the factor of 36
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