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, 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 to '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 the 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 Sub> = {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