What are Multiples in Math with Examples? | Multiples List 1 to 100

Multiples are a fundamental concept in mathematics that has numerous practical applications. As we all know, 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.

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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 is 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 infinite 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 an indefinite number of multiples except 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 multiplied by 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.

First 5 Multiples List 1 to 100

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

Multiples of a Number	First 5 Multiples
Multiples of 1	1, 2, 3, 4,5
Multiples of 2	2, 4, 6, 8, 10, 12
Multiples of 3	3, 6, 9, 12, 15, 18
Multiples of 4	4, 8, 12, 16, 20
Multiples of 5	5, 10, 15, 20, 25
Multiples of 6	6, 12, 18, 24, 30
Multiples of 7	7, 14, 21, 28, 35
Multiples of 8	8, 16, 24, 32, 40
Multiples of 9	9, 18, 27, 36, 45
Multiples of 10	10, 20, 30, 40, 50
Multiples of 11	11, 22, 33, 44, 55
Multiples of 12	12, 24, 36, 48, 60
Multiples of 13	13, 26, 39, 52, 65
Multiples of 14	14, 28, 42, 56, 70
Multiples of 15	15, 30, 45, 60, 75
Multiples of 16	16, 32, 48, 64, 80
Multiples of 17	17, 34, 51, 68, 85, 102
Multiples of 18	18, 36, 54, 72, 90
Multiples of 19	19, 38, 57, 76, 95
Multiples of 20	20, 40, 60, 80, 100
Multiples of 21	21, 42, 63, 84, 105
Multiples of 22	22, 44, 66, 88, 110
Multiples of 23	23, 46, 69, 92, 115
Multiples of 24	24, 48, 72, 96, 120
Multiples of 25	25, 50, 75, 100, 125
Multiples of 26	26, 52, 78, 104, 130
Multiples of 27	27, 54, 81, 108, 135
Multiples of 28	28, 56, 84, 112, 140
Multiples of 29	29, 58, 87, 116, 145
Multiples of 30	30, 60, 90, 120, 150
Multiples of 31	31, 62, 93, 124, 155
Multiples of 32	32, 64, 96, 128, 160
Multiples of 33	33, 66, 99, 132, 165
Multiples of 34	34 , 68 , 102 , 136 , 170
Multiples of 35	35 , 70 , 105 , 140 , 175
Multiples of 36	36 , 72 , 108 , 144 , 180
Multiples of 37	37 , 74 , 111 , 148 , 185
Multiples of 38	38 , 76 , 114 , 152 , 190
Multiples of 39	39 , 78 , 117 , 156 , 195
Multiples of 40	40 , 80 , 120 , 160 , 200
Multiples of 41	41 , 82 , 123 , 164 , 205
Multiples of 42	42 , 84 , 126 , 168 , 210
Multiples of 43	43 , 86 , 129 , 172 , 215
Multiples of 44	44 , 88 , 132 , 176 , 220
Multiples of 45	45 , 90 , 135 , 180 , 225
Multiples of 46	46 , 92 , 138 , 184 , 230
Multiples of 47	47 , 94 , 141 , 188 , 235
Multiples of 48	48 , 96 , 144 , 192 , 240
Multiples of 49	49 , 98 , 147 , 196 , 245
Multiples of 50	50 , 100 , 150 , 200 , 250
Multiples of 51	51 , 102 , 153 , 204 , 255
Multiples of 52	52 , 104 , 156 , 208 , 260
Multiples of 53	53 , 106 , 159 , 212 , 265
Multiples of 54	54 , 108 , 162 , 216 , 270
Multiples of 55	55 , 110 , 165 , 220 , 275
Multiples of 56	56 , 112 , 168 , 224 , 280
Multiples of 57	57 , 114 , 171 , 228 , 285
Multiples of 58	58 , 116 , 174 , 232 , 290
Multiples of 59	59 , 118 , 177 , 236 , 295
Multiples of 60	60 , 120 , 180 , 240 , 300
Multiples of 61	61 , 122 , 183 , 244 , 305
Multiples of 62	62 , 124 , 186 , 248 , 310
Multiples of 63	63 , 126 , 189 , 252 , 315
Multiples of 64	64 , 128 , 192 , 256 , 320
Multiples of 65	65 , 130 , 195 , 260 , 325
Multiples of 66	66 , 132 , 198 , 264 , 330
Multiples of 67	67 , 134 , 201 , 268 , 335
Multiples of 68	68 , 136 , 204 , 272 , 340
Multiples of 69	69 , 138 , 207 , 276 , 345
Multiples of 70	70 , 140 , 210 , 280 , 350
Multiples of 71	71 , 142 , 213 , 284 , 355
Multiples of 72	72 , 144 , 216 , 288 , 360
Multiples of 73	73 , 146 , 219 , 292 , 365
Multiples of 74	74 , 148 , 222 , 296 , 370
Multiples of 75	75 , 150 , 225 , 300 , 375
Multiples of 76	76 , 152 , 228 , 304 , 380
Multiples of 77	77 , 154 , 231 , 308 , 385
Multiples of 78	78 , 156 , 234 , 312 , 390
Multiples of 79	79 , 158 , 237 , 316 , 395
Multiples of 80	80 , 160 , 240 , 320 , 400
Multiples of 81	81 , 162 , 243 , 324 , 405
Multiples of 82	82 , 164 , 246 , 328 , 410
Multiples of 83	83 , 166 , 249 , 332 , 415
Multiples of 84	84 , 168 , 252 , 336 , 420
Multiples of 85	85 , 170 , 255 , 340 , 425
Multiples of 86	86 , 172 , 258 , 344 , 430
Multiples of 87	87 , 174 , 261 , 348 , 435
Multiples of 88	88 , 176 , 264 , 352 , 440
Multiples of 89	89 , 178 , 267 , 356 , 445
Multiples of 90	90 , 180 , 270 , 360 , 450
Multiples of 91	91 , 182 , 273 , 364 , 455
Multiples of 92	92 , 184 , 276 , 368 , 460
Multiples of 93	93 , 186 , 279 , 372 , 465
Multiples of 94	94 , 188 , 282 , 376 , 470
Multiples of 95	95 , 190 , 285 , 380 , 475
Multiples of 96	96 , 192 , 288 , 384 , 480
Multiples of 97	97 , 194 , 291 , 388 , 485
Multiples of 98	98 , 196 , 294 , 392 , 490
Multiples of 99	99 , 198 , 297 , 396 , 495
Multiples of 100	100, 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 have divided the other number without any remainder. Similarly, when one number is multiplied by another, we have got the products that are known as multiples.

How to find the 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:

Factor	Multiples
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 the 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

A few solved examples of 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 a multiple of 11 because 11 x 0 = 0
11 is a multiple of 11 because 11 x 1 = 11
22 is a 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, and 60 are multiples of 1, 2, 5, and 10.

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FAQs

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 have?
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, and 100 are the multiples of 10.