What are the first 20 multiples of 105

Multiples Calculator

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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 315 can be divided by 3 without a reminder. Like this, 315 is a multiple of 105, because, 3 times 105 equals 315. In other words, we can say that 315 is a multiple of 3 because there is a natural - 3 - which multiplied by 105 equals 315. The statement '315 is a multiple of 3' is equivalent '315 is divisible by 3', or that 3 is a divider of 315.

So to find the multiples of 105, 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 105:

  • 105 x 0 = 0 so, 0 is a multiple of 105.
  • 105 x 1 = 105 so, 105 is a multiple of 105.
  • 105 x 2 = 210 so, 210 is a multiple of 105.
  • 105 x 3 = 315 so, 315 is a multiple of 105.
  • 105 x 4 = 420 so, 420 is a multiple of 105.
  • 105 x 5 = 525 so, 525 is a multiple of 105.
  • 105 x 6 = 630 so, 630 is a multiple of 105.
  • 105 x 7 = 735 so, 735 is a multiple of 105.
  • 105 x 8 = 840 so, 840 is a multiple of 105.
  • 105 x 9 = 945 so, 945 is a multiple of 105.
  • 105 x 10 = 1050 so, 1050 is a multiple of 105.
  • 105 x 11 = 1155 so, 1155 is a multiple of 105.
  • 105 x 12 = 1260 so, 1260 is a multiple of 105.
  • 105 x 13 = 1365 so, 1365 is a multiple of 105.
  • 105 x 14 = 1470 so, 1470 is a multiple of 105.
  • 105 x 15 = 1575 so, 1575 is a multiple of 105.
  • 105 x 16 = 1680 so, 1680 is a multiple of 105.
  • 105 x 17 = 1785 so, 1785 is a multiple of 105.
  • 105 x 18 = 1890 so, 1890 is a multiple of 105.
  • 105 x 19 = 1995 so, 1995 is a multiple of 105.

The first 20 multiples of 105 are: 0, 105, 210, 315, 420, 525, 630, 735, 840, 945, 1050, 1155, 1260, 1365, 1470, 1575, 1680, 1785, 1890, 1995.

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 105 is represented as M 105 = {0, 105,210,315,420, ...}.

Common Multiples

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

Example: if two numbers 105 and 3 are multiplied, then the result 315 is a common multiple of 105 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

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