What are the first 100 multiples of 3

What is a multiple in math?

The multiple of a number is the product of this number by any other number (0, 1, 2, 3, ...).

Our calculator works on the set of natural numbers, but there are multiples in the set of numbers, integers, real, etc. Therefore, a multiple can also be negative.

For example, 9 can be divided by 3 without a reminder. Like this, 9 is a multiple of 3 because 3 times 3 equals 9. In other words, we can say that 9 is a multiple of 3 because there is a natural - 3 - which multiplied by 3 equals 9. The statement '9 is a multiple of 3' is equivalent to '9 is divisible by 3', or that 3 is a divider of 9.

So, to find the multiples of 3, simply multiply this number by a number of the set of natural numbers as many times as we want. See below how to do it for the number 3:

3 x 0 = 0, so 0 is a multiple of 3.
3 x 1 = 3, so 3 is a multiple of 3.
3 x 2 = 6, so 6 is a multiple of 3.
3 x 3 = 9, so 9 is a multiple of 3.
3 x 4 = 12, so 12 is a multiple of 3.
3 x 5 = 15, so 15 is a multiple of 3.
3 x 6 = 18, so 18 is a multiple of 3.
3 x 7 = 21, so 21 is a multiple of 3.
3 x 8 = 24, so 24 is a multiple of 3.
3 x 9 = 27, so 27 is a multiple of 3.
3 x 10 = 30, so 30 is a multiple of 3.
3 x 11 = 33, so 33 is a multiple of 3.
3 x 12 = 36, so 36 is a multiple of 3.
3 x 13 = 39, so 39 is a multiple of 3.
3 x 14 = 42, so 42 is a multiple of 3.
3 x 15 = 45, so 45 is a multiple of 3.
3 x 16 = 48, so 48 is a multiple of 3.
3 x 17 = 51, so 51 is a multiple of 3.
3 x 18 = 54, so 54 is a multiple of 3.
3 x 19 = 57, so 57 is a multiple of 3.
3 x 20 = 60, so 60 is a multiple of 3.
3 x 21 = 63, so 63 is a multiple of 3.
3 x 22 = 66, so 66 is a multiple of 3.
3 x 23 = 69, so 69 is a multiple of 3.
3 x 24 = 72, so 72 is a multiple of 3.
3 x 25 = 75, so 75 is a multiple of 3.
3 x 26 = 78, so 78 is a multiple of 3.
3 x 27 = 81, so 81 is a multiple of 3.
3 x 28 = 84, so 84 is a multiple of 3.
3 x 29 = 87, so 87 is a multiple of 3.
3 x 30 = 90, so 90 is a multiple of 3.
3 x 31 = 93, so 93 is a multiple of 3.
3 x 32 = 96, so 96 is a multiple of 3.
3 x 33 = 99, so 99 is a multiple of 3.
3 x 34 = 102, so 102 is a multiple of 3.
3 x 35 = 105, so 105 is a multiple of 3.
3 x 36 = 108, so 108 is a multiple of 3.
3 x 37 = 111, so 111 is a multiple of 3.
3 x 38 = 114, so 114 is a multiple of 3.
3 x 39 = 117, so 117 is a multiple of 3.
3 x 40 = 120, so 120 is a multiple of 3.
3 x 41 = 123, so 123 is a multiple of 3.
3 x 42 = 126, so 126 is a multiple of 3.
3 x 43 = 129, so 129 is a multiple of 3.
3 x 44 = 132, so 132 is a multiple of 3.
3 x 45 = 135, so 135 is a multiple of 3.
3 x 46 = 138, so 138 is a multiple of 3.
3 x 47 = 141, so 141 is a multiple of 3.
3 x 48 = 144, so 144 is a multiple of 3.
3 x 49 = 147, so 147 is a multiple of 3.
3 x 50 = 150, so 150 is a multiple of 3.
3 x 51 = 153, so 153 is a multiple of 3.
3 x 52 = 156, so 156 is a multiple of 3.
3 x 53 = 159, so 159 is a multiple of 3.
3 x 54 = 162, so 162 is a multiple of 3.
3 x 55 = 165, so 165 is a multiple of 3.
3 x 56 = 168, so 168 is a multiple of 3.
3 x 57 = 171, so 171 is a multiple of 3.
3 x 58 = 174, so 174 is a multiple of 3.
3 x 59 = 177, so 177 is a multiple of 3.
3 x 60 = 180, so 180 is a multiple of 3.
3 x 61 = 183, so 183 is a multiple of 3.
3 x 62 = 186, so 186 is a multiple of 3.
3 x 63 = 189, so 189 is a multiple of 3.
3 x 64 = 192, so 192 is a multiple of 3.
3 x 65 = 195, so 195 is a multiple of 3.
3 x 66 = 198, so 198 is a multiple of 3.
3 x 67 = 201, so 201 is a multiple of 3.
3 x 68 = 204, so 204 is a multiple of 3.
3 x 69 = 207, so 207 is a multiple of 3.
3 x 70 = 210, so 210 is a multiple of 3.
3 x 71 = 213, so 213 is a multiple of 3.
3 x 72 = 216, so 216 is a multiple of 3.
3 x 73 = 219, so 219 is a multiple of 3.
3 x 74 = 222, so 222 is a multiple of 3.
3 x 75 = 225, so 225 is a multiple of 3.
3 x 76 = 228, so 228 is a multiple of 3.
3 x 77 = 231, so 231 is a multiple of 3.
3 x 78 = 234, so 234 is a multiple of 3.
3 x 79 = 237, so 237 is a multiple of 3.
3 x 80 = 240, so 240 is a multiple of 3.
3 x 81 = 243, so 243 is a multiple of 3.
3 x 82 = 246, so 246 is a multiple of 3.
3 x 83 = 249, so 249 is a multiple of 3.
3 x 84 = 252, so 252 is a multiple of 3.
3 x 85 = 255, so 255 is a multiple of 3.
3 x 86 = 258, so 258 is a multiple of 3.
3 x 87 = 261, so 261 is a multiple of 3.
3 x 88 = 264, so 264 is a multiple of 3.
3 x 89 = 267, so 267 is a multiple of 3.
3 x 90 = 270, so 270 is a multiple of 3.
3 x 91 = 273, so 273 is a multiple of 3.
3 x 92 = 276, so 276 is a multiple of 3.
3 x 93 = 279, so 279 is a multiple of 3.
3 x 94 = 282, so 282 is a multiple of 3.
3 x 95 = 285, so 285 is a multiple of 3.
3 x 96 = 288, so 288 is a multiple of 3.
3 x 97 = 291, so 291 is a multiple of 3.
3 x 98 = 294, so 294 is a multiple of 3.
3 x 99 = 297, so 297 is a multiple of 3.

The first 100 multiples of 3 are: 0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99, 102, 105, 108, 111, 114, 117, 120, 123, 126, 129, 132, 135, 138, 141, 144, 147, 150, 153, 156, 159, 162, 165, 168, 171, 174, 177, 180, 183, 186, 189, 192, 195, 198, 201, 204, 207, 210, 213, 216, 219, 222, 225, 228, 231, 234, 237, 240, 243, 246, 249, 252, 255, 258, 261, 264, 267, 270, 273, 276, 279, 282, 285, 288, 291, 294, 297.

Facts About Multiples

Any number is a multiple of itself (n x 1 = n).
Any number is a multiple of 1 (1 x n = n).
Zero is a multiple of any number (0 x n = 0).
The set of multiples of a number is an infinite set since we can get this by multiplying the number given by all the natural numbers.

_{3 = {0, 3,6,9,12, ...}.}

Common Multiples

If two numbers are multiplied, then the product is a common multiple of these two numbers.

Example: if two numbers, 3 and 3, are multiplied, then the result, 9, is a common multiple of 3 and 3.

Note: The product of these two numbers is not necessarily the least common multiple-LCM of these numbers.

Multiples Table

1: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20
2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40
3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60
4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80
5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100
6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120
7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140
8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160
9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180
10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200
11: 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132, 143, 154, 165, 176, 187, 198, 209, 220
12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192, 204, 216, 228, 240
13: 13, 26, 39, 52, 65, 78, 91, 104, 117, 130, 143, 156, 169, 182, 195, 208, 221, 234, 247, 260
14: 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210, 224, 238, 252, 266, 280
15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300

References:

Múltiplos e Divisores - atractor.pt

What are the first 100 multiples of 3

Multiples Calculator

What is a multiple in math?

Facts About Multiples

Common Multiples

Multiples Table

References:

Multiples Examples

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