What Are Multiples in Math With Examples? | Multiples List 1 to 100

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factors of 17

Multiples are a fundamental concept in mathematics that has numerous practical applications. As we all know, the multiplication tables serve as the foundation for finding the multiples of given numbers. This article will explain what multiples are in mathematics, how to find the multiples of a given integer, and give detailed examples of multiples. Scroll down to find out more.

What Are the Properties of Multiples?

The properties of multiples are explained below.

  • A given integer has an unlimited number of multiples. As an illustration, let’s put M(2) = 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, etc. for the multiples of 2.
  • All numbers are multiples of one another. Example: 3=3×1, where 3 is a multiple of 3.
  • The result of multiplying any number by 0 is always 0. For instance, 0x2=0
  • A number is bigger than or equal to every multiple of that number. Multiples of 5 are known to be 5, 10, 15, 20, 25, 30, 35, 40, 45, and 50. Each multiple in this case is larger than or equal to 5.
  • The section below provides a step-by-step explanation of the multiples’ attributes.

Property 1: Every Number Has 1 as a Multiple.

Example: 1 × 42 = 42
1 × 524 = 524
1 × 9 = 9
When we multiply 1 by any number, we obtain the provided number.

Property 2: Every Number Has Its Own Multiple

Example: 464 = 1 × 464
24 = 1 × 24
Given that we know that 1 is a factor, multiplying by 1 gives the same outcome.
Every number is therefore a multiple of it in and of itself.

Property 3: There Are Infinitely Many Ways to Multiply a Given Integer.

Let’s write the multiples of 2 for illustration.
M(2) = {0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22,…..}
Since there are infinite numbers, there will also be an endless number of multiples of 2.
Thus, it demonstrates that “There are an unlimited number of multiples of a given integer.”

Property 4: There Are Multiples of Every Number

Every number has indefinite number of multiples expect for the number 0.
Example:
M(2) = {0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22,…..}
M(3) = {0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33,…}
M(…) = {…….}

Property 5: Any Number Multiply With 0 Will Always Result in 0

Any number which multiplies with Zero will always result in 0.

Example: For instance, we obtain 0 when we multiply 2 by 0.
0 × 2 = 0
The result of multiplying 0 by 649 is 0.
0 × 649 = 0
The result of multiplying 25 by 0 is zero.
25 × 0 = 0
The result of multiplying 16 by 0 is zero.

Property 6: A Number Is Greater Than or Equal to Every Multiple of That Number

A number is always greater than or equal to the every multiple of that number.
For instance, multiplying 24 by 2
24 × 2 = 48
24 is bigger than 48.
24 × 1 = 24
24 is the same as 24.
As a result, “Every multiple of a number is bigger than or equal to that number” is satisfied.

First 5 Multiples List 1 to 100

The first 5 multiples of 2 to 100 are tabulated below:

Multiples of a NumberFirst 5 Multiples
Multiples of 11, 2, 3, 4 ,5
Multiples of 22, 4, 6, 8, 10, 12
Multiples of 33, 6, 9, 12, 15, 18
Multiples of 44, 8, 12, 16, 20
Multiples of 55, 10, 15, 20, 25
Multiples of 66, 12, 18, 24, 30
Multiples of 77, 14, 21, 28, 35
Multiples of 88, 16, 24, 32, 40
Multiples of 99, 18, 27, 36, 45
Multiples of 1010, 20, 30, 40, 50
Multiples of 1111, 22, 33, 44, 55
Multiples of 1212, 24, 36, 48, 60
Multiples of 1313, 26, 39, 52, 65
Multiples of 1414, 28, 42, 56, 70
Multiples of 1515, 30, 45, 60, 75
Multiples of 1616, 32, 48, 64, 80
Multiples of 1717, 34, 51, 68, 85, 102
Multiples of 1818, 36, 54, 72, 90
Multiples of 1919, 38, 57, 76, 95
Multiples of 2020, 40, 60, 80, 100
Multiples of 2121 , 42 , 63 , 84 , 105
Multiples of 2222 , 44 , 66 , 88 , 110
Multiples of 2323 , 46 , 69 , 92 , 115
Multiples of 2424 , 48 , 72 , 96 , 120
Multiples of 2525 , 50 , 75 , 100 , 125
Multiples of 2626 , 52 , 78 , 104 , 130
Multiples of 2727 , 54 , 81 , 108 , 135
Multiples of 2828 , 56 , 84 , 112 , 140
Multiples of 2929 , 58 , 87 , 116 , 145
Multiples of 3030 , 60 , 90 , 120 , 150
Multiples of 3131 , 62 , 93 , 124 , 155
Multiples of 3232 , 64 , 96 , 128 , 160
Multiples of 3333 , 66 , 99 , 132 , 165
Multiples of 3434 , 68 , 102 , 136 , 170
Multiples of 3535 , 70 , 105 , 140 , 175
Multiples of 3636 , 72 , 108 , 144 , 180
Multiples of 3737 , 74 , 111 , 148 , 185
Multiples of 3838 , 76 , 114 , 152 , 190
Multiples of 3939 , 78 , 117 , 156 , 195
Multiples of 4040 , 80 , 120 , 160 , 200
Multiples of 4141 , 82 , 123 , 164 , 205
Multiples of 4242 , 84 , 126 , 168 , 210
Multiples of 4343 , 86 , 129 , 172 , 215
Multiples of 4444 , 88 , 132 , 176 , 220
Multiples of 4545 , 90 , 135 , 180 , 225
Multiples of 4646 , 92 , 138 , 184 , 230
Multiples of 4747 , 94 , 141 , 188 , 235
Multiples of 4848 , 96 , 144 , 192 , 240
Multiples of 4949 , 98 , 147 , 196 , 245
Multiples of 5050 , 100 , 150 , 200 , 250
Multiples of 5151 , 102 , 153 , 204 , 255
Multiples of 5252 , 104 , 156 , 208 , 260
Multiples of 5353 , 106 , 159 , 212 , 265
Multiples of 5454 , 108 , 162 , 216 , 270
Multiples of 5555 , 110 , 165 , 220 , 275
Multiples of 5656 , 112 , 168 , 224 , 280
Multiples of 5757 , 114 , 171 , 228 , 285
Multiples of 5858 , 116 , 174 , 232 , 290
Multiples of 5959 , 118 , 177 , 236 , 295
Multiples of 6060 , 120 , 180 , 240 , 300
Multiples of 6161 , 122 , 183 , 244 , 305
Multiples of 6262 , 124 , 186 , 248 , 310
Multiples of 6363 , 126 , 189 , 252 , 315
Multiples of 6464 , 128 , 192 , 256 , 320
Multiples of 6565 , 130 , 195 , 260 , 325
Multiples of 6666 , 132 , 198 , 264 , 330
Multiples of 6767 , 134 , 201 , 268 , 335
Multiples of 6868 , 136 , 204 , 272 , 340
Multiples of 6969 , 138 , 207 , 276 , 345
Multiples of 7070 , 140 , 210 , 280 , 350
Multiples of 7171 , 142 , 213 , 284 , 355
Multiples of 7272 , 144 , 216 , 288 , 360
Multiples of 7373 , 146 , 219 , 292 , 365
Multiples of 7474 , 148 , 222 , 296 , 370
Multiples of 7575 , 150 , 225 , 300 , 375
Multiples of 7676 , 152 , 228 , 304 , 380
Multiples of 7777 , 154 , 231 , 308 , 385
Multiples of 7878 , 156 , 234 , 312 , 390
Multiples of 7979 , 158 , 237 , 316 , 395
Multiples of 8080 , 160 , 240 , 320 , 400
Multiples of 8181 , 162 , 243 , 324 , 405
Multiples of 8282 , 164 , 246 , 328 , 410
Multiples of 8383 , 166 , 249 , 332 , 415
Multiples of 8484 , 168 , 252 , 336 , 420
Multiples of 8585 , 170 , 255 , 340 , 425
Multiples of 8686 , 172 , 258 , 344 , 430
Multiples of 8787 , 174 , 261 , 348 , 435
Multiples of 8888 , 176 , 264 , 352 , 440
Multiples of 8989 , 178 , 267 , 356 , 445
Multiples of 9090 , 180 , 270 , 360 , 450
Multiples of 9191 , 182 , 273 , 364 , 455
Multiples of 9292 , 184 , 276 , 368 , 460
Multiples of 9393 , 186 , 279 , 372 , 465
Multiples of 9494 , 188 , 282 , 376 , 470
Multiples of 9595 , 190 , 285 , 380 , 475
Multiples of 9696 , 192 , 288 , 384 , 480
Multiples of 9797 , 194 , 291 , 388 , 485
Multiples of 9898 , 196 , 294 , 392 , 490
Multiples of 9999 , 198 , 297 , 396 , 495
Multiples of 100100, 200, 300, 400, 500

What Is a Common Multiple in Maths?

The multiples that a certain group of numbers share are known as common multiples.

For example, we can list the multiples of 3 and 6 individually and then look for the multiples that appear in both lists to determine the common multiples of 3 and 6, for instance. You can list the multiples of three as 3, 6, 9, 12, 15, and so on. You can list the multiples of six as 6, 12, 18, 24, 30, 36, and so on. The multiples that are present in both lists, assuming we discover them, are 6, 12, and 18. The term “common multiples of 3 and 6” refers to these.

Common Multiples of 6 and 8

  • Multiples of 6 = 6,12,18,24,30,36,42,48
  • Multiples of 8 = 8,16,24,32,40,48,56

Thus, the common multiples of 6 and 8 can be listed as, 24, 48, and so on.

Multiples and Factors

Definition of Factors: Factors are those numbers that divide another number exactly while leaving a zero as the remainder. Another way to put it is that the factor of the dividend is the divisor if the dividend is exactly divided by the factor, leaving zero factors. Every number shares the number itself and the number one in common.

Both factors and multiples are related to each other. For example, the number 20 is a multiple of the digits 4 and 5. Alternatively, the factors of the number 20 are the digits 4 and 5.  

Here, factors has divided the another number without any remainder. Similarly, when one number is multiplied by another, we have got the products which are known as multiples.

How to Find Factors of a Number?

Finding all the finite integers that divide the given number so that there is no remainder after division is necessary to determine a number’s factors.

For example, if we use the number 28, as an example, then 28, 14, 7, 4, 2, and 1 are all the integers that divide 28 perfectly. Therefore, each of these numbers is a factor of the number 28. The number itself and the number 1 are the two fundamental components of every number, it should be remembered. 

What is The Difference Between Factors and Multiples?

The difference between factors and multiples are given below:

FactorMultiples
1. The exact divisors of a number are referred to as factors.1. The result of multiplying two or more integers is known as a multiple.
2. Division is the procedure used to identify a number’s factors.2. Multiplication is the procedure used to find the multiples.
3. The result of the variables must be less than or equal to the specified amount.3. The results of the multiples must exceed or be equal to the specified number.
4. There are a finite number of components.4. There are an unlimited amount of multiples.

What Are the Common Properties of Factors and Multiples?

You should look through examples of different types of factors and multiples in order to comprehend the notion of factors and multiples. Additionally, a few specific qualities help to make the idea obvious and succinct. The following list of important properties includes some:

  • There is one thing that all numbers have in common: 1
  • There is a multiple of every number, namely 0.
  • Only whole numbers can use the multiples and factors concepts.
  • Every number consists of at least two components, namely the number 1 and the actual number.
  • The largest element is the number itself, and the smallest factor is number 1.
  • The number itself is the only multiple of each number. There is a finite number of factors and an infinite number of multiples of each number.
  • If a number only contains the number itself and the number 1, it is said to be a prime number.

Solved Examples on Multiples

A few solved examples on Multiples are explained below:

Solved Example 1: What are the first 3 multiples of 11?
Answer:
The first 3 multiples of 11 in the set of Natural Numbers are: 0, 11, 22
Explanation:
0 is multiple of 11, because 11 x 0 = 0
11 is multiple of 11, because 11 x 1 = 11
22 is multiple of 11, because 11 x 2 = 22

Solved Example 2: What are 5 multiples of 17?
Answer:
The first five multiples of 17 are 17, 34, 51, 68, 85, 102, etc.
We can observe that it is a sequence where the difference between each next number and the preceding number, i.e., two consecutive multiples or products, is equal to 17.

Solved Example 3: What is the smallest multiple of 17?
The smallest multiple of 17 is 0. Apart from zero, 17 is the smallest multiple of 17.

Solved Example 4: What can we multiply to get 17?
Answer:
To get 17, we need to multiply 17 with 1 or 1 with 17.
17 x 1 = 17
1 x 17 = 17

Solved Example 5: What is 60 a multiple of?
60 is a multiple of 6. Thus, 6 and all its multiples are common multiples of 6 and 60.

Solved Example 6: 10, 30, 50, 60 are all the multiples of ___
Answer:
10, 30, 50, 60 are multiples of 1, 2, 5, 10.

FAQs on Multiples

What are multiples in math?
In mathematics, multiples are the results of multiplying an integer by a given number. For example, Multiples of 5 include, 10, 15, 20, 25, 30, etc. Whereas Multiples of 7 include 14, 21, 28, 35, 42, 49, etc.

What do we mean by multiples?
Multiples are the results of multiplying an integer by a given number in mathematics.

What are the multiples of 12?
Multiples of 12 are 24, 36, 48, 60, 72, 84, 96, 120, and so on. It is a series where there are two successive multiples or products and there is a 12 difference between each number after the previous number.

What is a multiple of 3?
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30.

What are all multiples of 6?
The multiples of six are 6, 12, 18, 24, 30, 36, 42, 48, 54, and so on. It is a series where there are two successive multiples or products, with a difference of 6, between each number and the one before it.

What are the multiples of 8?
8, 16, 24, 32, 40, 48, 56, 64, 72, and so on are the multiples of 8 that can be found. It is a series when there are two consecutive results and there is an 8-digit difference between each subsequent number and the one before it. The numbers known as multiples are those that produce products when any number is multiplied by other natural numbers.

How do you explain multiples to a child?
In mathematics, multiples are the results of multiplying an integer by a given number. Kids can be taught that, a multiple is a number that can be divided by another number without leaving a remainder a certain number of times.

How many multiples does a number?
A number has an unlimited number of multiples.
The multiples of a number are therefore unlimited. To list the multiples of 3, for instance, we would begin with 3, 6, 9, 12, 15, 18, and so on.

How do you determine multiples?
Multiply the integer by any whole number to discover its multiples. For example, 15 is the third multiple of 5 since 5 X 3 = 15.

What is a multiple of 10?
10, 20, 30, 40, 50, 60, 70, 80, 90, 100 are the multiples of 10.

Now that you are provided with all the necessary information about multiples. If you have any questions, related to this post, then ping us through the comment section below and we will get back to you as soon as possible.

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