What are the first 100 multiples of 7

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, the number 21 can be divided by 3 without a reminder. Like this, 21 is a multiple of 7, because, 3 times 7 equals 21. In other words, we can say that 21 is a multiple of 3 because there is a natural - 3 - which multiplied by 7 equals 21. The statement '21 is a multiple of 3' is equivalent '21 is divisible by 3', or that 3 is a divider of 21.

So to find the multiples of 7, 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 7:

• 7 x 0 = 0 so, 0 is a multiple of 7.
• 7 x 1 = 7 so, 7 is a multiple of 7.
• 7 x 2 = 14 so, 14 is a multiple of 7.
• 7 x 3 = 21 so, 21 is a multiple of 7.
• 7 x 4 = 28 so, 28 is a multiple of 7.
• 7 x 5 = 35 so, 35 is a multiple of 7.
• 7 x 6 = 42 so, 42 is a multiple of 7.
• 7 x 7 = 49 so, 49 is a multiple of 7.
• 7 x 8 = 56 so, 56 is a multiple of 7.
• 7 x 9 = 63 so, 63 is a multiple of 7.
• 7 x 10 = 70 so, 70 is a multiple of 7.
• 7 x 11 = 77 so, 77 is a multiple of 7.
• 7 x 12 = 84 so, 84 is a multiple of 7.
• 7 x 13 = 91 so, 91 is a multiple of 7.
• 7 x 14 = 98 so, 98 is a multiple of 7.
• 7 x 15 = 105 so, 105 is a multiple of 7.
• 7 x 16 = 112 so, 112 is a multiple of 7.
• 7 x 17 = 119 so, 119 is a multiple of 7.
• 7 x 18 = 126 so, 126 is a multiple of 7.
• 7 x 19 = 133 so, 133 is a multiple of 7.
• 7 x 20 = 140 so, 140 is a multiple of 7.
• 7 x 21 = 147 so, 147 is a multiple of 7.
• 7 x 22 = 154 so, 154 is a multiple of 7.
• 7 x 23 = 161 so, 161 is a multiple of 7.
• 7 x 24 = 168 so, 168 is a multiple of 7.
• 7 x 25 = 175 so, 175 is a multiple of 7.
• 7 x 26 = 182 so, 182 is a multiple of 7.
• 7 x 27 = 189 so, 189 is a multiple of 7.
• 7 x 28 = 196 so, 196 is a multiple of 7.
• 7 x 29 = 203 so, 203 is a multiple of 7.
• 7 x 30 = 210 so, 210 is a multiple of 7.
• 7 x 31 = 217 so, 217 is a multiple of 7.
• 7 x 32 = 224 so, 224 is a multiple of 7.
• 7 x 33 = 231 so, 231 is a multiple of 7.
• 7 x 34 = 238 so, 238 is a multiple of 7.
• 7 x 35 = 245 so, 245 is a multiple of 7.
• 7 x 36 = 252 so, 252 is a multiple of 7.
• 7 x 37 = 259 so, 259 is a multiple of 7.
• 7 x 38 = 266 so, 266 is a multiple of 7.
• 7 x 39 = 273 so, 273 is a multiple of 7.
• 7 x 40 = 280 so, 280 is a multiple of 7.
• 7 x 41 = 287 so, 287 is a multiple of 7.
• 7 x 42 = 294 so, 294 is a multiple of 7.
• 7 x 43 = 301 so, 301 is a multiple of 7.
• 7 x 44 = 308 so, 308 is a multiple of 7.
• 7 x 45 = 315 so, 315 is a multiple of 7.
• 7 x 46 = 322 so, 322 is a multiple of 7.
• 7 x 47 = 329 so, 329 is a multiple of 7.
• 7 x 48 = 336 so, 336 is a multiple of 7.
• 7 x 49 = 343 so, 343 is a multiple of 7.
• 7 x 50 = 350 so, 350 is a multiple of 7.
• 7 x 51 = 357 so, 357 is a multiple of 7.
• 7 x 52 = 364 so, 364 is a multiple of 7.
• 7 x 53 = 371 so, 371 is a multiple of 7.
• 7 x 54 = 378 so, 378 is a multiple of 7.
• 7 x 55 = 385 so, 385 is a multiple of 7.
• 7 x 56 = 392 so, 392 is a multiple of 7.
• 7 x 57 = 399 so, 399 is a multiple of 7.
• 7 x 58 = 406 so, 406 is a multiple of 7.
• 7 x 59 = 413 so, 413 is a multiple of 7.
• 7 x 60 = 420 so, 420 is a multiple of 7.
• 7 x 61 = 427 so, 427 is a multiple of 7.
• 7 x 62 = 434 so, 434 is a multiple of 7.
• 7 x 63 = 441 so, 441 is a multiple of 7.
• 7 x 64 = 448 so, 448 is a multiple of 7.
• 7 x 65 = 455 so, 455 is a multiple of 7.
• 7 x 66 = 462 so, 462 is a multiple of 7.
• 7 x 67 = 469 so, 469 is a multiple of 7.
• 7 x 68 = 476 so, 476 is a multiple of 7.
• 7 x 69 = 483 so, 483 is a multiple of 7.
• 7 x 70 = 490 so, 490 is a multiple of 7.
• 7 x 71 = 497 so, 497 is a multiple of 7.
• 7 x 72 = 504 so, 504 is a multiple of 7.
• 7 x 73 = 511 so, 511 is a multiple of 7.
• 7 x 74 = 518 so, 518 is a multiple of 7.
• 7 x 75 = 525 so, 525 is a multiple of 7.
• 7 x 76 = 532 so, 532 is a multiple of 7.
• 7 x 77 = 539 so, 539 is a multiple of 7.
• 7 x 78 = 546 so, 546 is a multiple of 7.
• 7 x 79 = 553 so, 553 is a multiple of 7.
• 7 x 80 = 560 so, 560 is a multiple of 7.
• 7 x 81 = 567 so, 567 is a multiple of 7.
• 7 x 82 = 574 so, 574 is a multiple of 7.
• 7 x 83 = 581 so, 581 is a multiple of 7.
• 7 x 84 = 588 so, 588 is a multiple of 7.
• 7 x 85 = 595 so, 595 is a multiple of 7.
• 7 x 86 = 602 so, 602 is a multiple of 7.
• 7 x 87 = 609 so, 609 is a multiple of 7.
• 7 x 88 = 616 so, 616 is a multiple of 7.
• 7 x 89 = 623 so, 623 is a multiple of 7.
• 7 x 90 = 630 so, 630 is a multiple of 7.
• 7 x 91 = 637 so, 637 is a multiple of 7.
• 7 x 92 = 644 so, 644 is a multiple of 7.
• 7 x 93 = 651 so, 651 is a multiple of 7.
• 7 x 94 = 658 so, 658 is a multiple of 7.
• 7 x 95 = 665 so, 665 is a multiple of 7.
• 7 x 96 = 672 so, 672 is a multiple of 7.
• 7 x 97 = 679 so, 679 is a multiple of 7.
• 7 x 98 = 686 so, 686 is a multiple of 7.
• 7 x 99 = 693 so, 693 is a multiple of 7.

The first 100 multiples of 7 are: 0, 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140, 147, 154, 161, 168, 175, 182, 189, 196, 203, 210, 217, 224, 231, 238, 245, 252, 259, 266, 273, 280, 287, 294, 301, 308, 315, 322, 329, 336, 343, 350, 357, 364, 371, 378, 385, 392, 399, 406, 413, 420, 427, 434, 441, 448, 455, 462, 469, 476, 483, 490, 497, 504, 511, 518, 525, 532, 539, 546, 553, 560, 567, 574, 581, 588, 595, 602, 609, 616, 623, 630, 637, 644, 651, 658, 665, 672, 679, 686, 693.

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 natural numbers.
The set of multiples of n can be represented by M _n = {0 x n, 1 x n, 2 x n, 3 x n, 4 x n, ...} (where n is any natural). For example, the set of multiples of 7 is represented as M _{7 = {0, 7,14,21,28, ...}.}

Common Multiples

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

Example: if two numbers 7 and 3 are multiplied, then the result 21 is a common multiple of 7 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

Multiples Examples