What are the first 50 multiples of 21

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 63 can be divided by 3 without a reminder. Like this, 63 is a multiple of 21, because, 3 times 21 equals 63. In other words, we can say that 63 is a multiple of 3 because there is a natural - 3 - which multiplied by 21 equals 63. The statement '63 is a multiple of 3' is equivalent '63 is divisible by 3', or that 3 is a divider of 63.

So to find the multiples of 21, 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 21:

• 21 x 0 = 0 so, 0 is a multiple of 21.
• 21 x 1 = 21 so, 21 is a multiple of 21.
• 21 x 2 = 42 so, 42 is a multiple of 21.
• 21 x 3 = 63 so, 63 is a multiple of 21.
• 21 x 4 = 84 so, 84 is a multiple of 21.
• 21 x 5 = 105 so, 105 is a multiple of 21.
• 21 x 6 = 126 so, 126 is a multiple of 21.
• 21 x 7 = 147 so, 147 is a multiple of 21.
• 21 x 8 = 168 so, 168 is a multiple of 21.
• 21 x 9 = 189 so, 189 is a multiple of 21.
• 21 x 10 = 210 so, 210 is a multiple of 21.
• 21 x 11 = 231 so, 231 is a multiple of 21.
• 21 x 12 = 252 so, 252 is a multiple of 21.
• 21 x 13 = 273 so, 273 is a multiple of 21.
• 21 x 14 = 294 so, 294 is a multiple of 21.
• 21 x 15 = 315 so, 315 is a multiple of 21.
• 21 x 16 = 336 so, 336 is a multiple of 21.
• 21 x 17 = 357 so, 357 is a multiple of 21.
• 21 x 18 = 378 so, 378 is a multiple of 21.
• 21 x 19 = 399 so, 399 is a multiple of 21.
• 21 x 20 = 420 so, 420 is a multiple of 21.
• 21 x 21 = 441 so, 441 is a multiple of 21.
• 21 x 22 = 462 so, 462 is a multiple of 21.
• 21 x 23 = 483 so, 483 is a multiple of 21.
• 21 x 24 = 504 so, 504 is a multiple of 21.
• 21 x 25 = 525 so, 525 is a multiple of 21.
• 21 x 26 = 546 so, 546 is a multiple of 21.
• 21 x 27 = 567 so, 567 is a multiple of 21.
• 21 x 28 = 588 so, 588 is a multiple of 21.
• 21 x 29 = 609 so, 609 is a multiple of 21.
• 21 x 30 = 630 so, 630 is a multiple of 21.
• 21 x 31 = 651 so, 651 is a multiple of 21.
• 21 x 32 = 672 so, 672 is a multiple of 21.
• 21 x 33 = 693 so, 693 is a multiple of 21.
• 21 x 34 = 714 so, 714 is a multiple of 21.
• 21 x 35 = 735 so, 735 is a multiple of 21.
• 21 x 36 = 756 so, 756 is a multiple of 21.
• 21 x 37 = 777 so, 777 is a multiple of 21.
• 21 x 38 = 798 so, 798 is a multiple of 21.
• 21 x 39 = 819 so, 819 is a multiple of 21.
• 21 x 40 = 840 so, 840 is a multiple of 21.
• 21 x 41 = 861 so, 861 is a multiple of 21.
• 21 x 42 = 882 so, 882 is a multiple of 21.
• 21 x 43 = 903 so, 903 is a multiple of 21.
• 21 x 44 = 924 so, 924 is a multiple of 21.
• 21 x 45 = 945 so, 945 is a multiple of 21.
• 21 x 46 = 966 so, 966 is a multiple of 21.
• 21 x 47 = 987 so, 987 is a multiple of 21.
• 21 x 48 = 1008 so, 1008 is a multiple of 21.
• 21 x 49 = 1029 so, 1029 is a multiple of 21.

The first 50 multiples of 21 are: 0, 21, 42, 63, 84, 105, 126, 147, 168, 189, 210, 231, 252, 273, 294, 315, 336, 357, 378, 399, 420, 441, 462, 483, 504, 525, 546, 567, 588, 609, 630, 651, 672, 693, 714, 735, 756, 777, 798, 819, 840, 861, 882, 903, 924, 945, 966, 987, 1008, 1029.

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 21 is represented as M _{21 = {0, 21,42,63,84, ...}.}

Common Multiples

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

Example: if two numbers 21 and 3 are multiplied, then the result 63 is a common multiple of 21 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