What are the first 100 multiples of 150

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 450 can be divided by 3 without a reminder. Like this, 450 is a multiple of 150, because, 3 times 150 equals 450. In other words, we can say that 450 is a multiple of 3 because there is a natural - 3 - which multiplied by 150 equals 450. The statement '450 is a multiple of 3' is equivalent '450 is divisible by 3', or that 3 is a divider of 450.

So to find the multiples of 150, 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 150:

• 150 x 0 = 0 so, 0 is a multiple of 150.
• 150 x 1 = 150 so, 150 is a multiple of 150.
• 150 x 2 = 300 so, 300 is a multiple of 150.
• 150 x 3 = 450 so, 450 is a multiple of 150.
• 150 x 4 = 600 so, 600 is a multiple of 150.
• 150 x 5 = 750 so, 750 is a multiple of 150.
• 150 x 6 = 900 so, 900 is a multiple of 150.
• 150 x 7 = 1050 so, 1050 is a multiple of 150.
• 150 x 8 = 1200 so, 1200 is a multiple of 150.
• 150 x 9 = 1350 so, 1350 is a multiple of 150.
• 150 x 10 = 1500 so, 1500 is a multiple of 150.
• 150 x 11 = 1650 so, 1650 is a multiple of 150.
• 150 x 12 = 1800 so, 1800 is a multiple of 150.
• 150 x 13 = 1950 so, 1950 is a multiple of 150.
• 150 x 14 = 2100 so, 2100 is a multiple of 150.
• 150 x 15 = 2250 so, 2250 is a multiple of 150.
• 150 x 16 = 2400 so, 2400 is a multiple of 150.
• 150 x 17 = 2550 so, 2550 is a multiple of 150.
• 150 x 18 = 2700 so, 2700 is a multiple of 150.
• 150 x 19 = 2850 so, 2850 is a multiple of 150.
• 150 x 20 = 3000 so, 3000 is a multiple of 150.
• 150 x 21 = 3150 so, 3150 is a multiple of 150.
• 150 x 22 = 3300 so, 3300 is a multiple of 150.
• 150 x 23 = 3450 so, 3450 is a multiple of 150.
• 150 x 24 = 3600 so, 3600 is a multiple of 150.
• 150 x 25 = 3750 so, 3750 is a multiple of 150.
• 150 x 26 = 3900 so, 3900 is a multiple of 150.
• 150 x 27 = 4050 so, 4050 is a multiple of 150.
• 150 x 28 = 4200 so, 4200 is a multiple of 150.
• 150 x 29 = 4350 so, 4350 is a multiple of 150.
• 150 x 30 = 4500 so, 4500 is a multiple of 150.
• 150 x 31 = 4650 so, 4650 is a multiple of 150.
• 150 x 32 = 4800 so, 4800 is a multiple of 150.
• 150 x 33 = 4950 so, 4950 is a multiple of 150.
• 150 x 34 = 5100 so, 5100 is a multiple of 150.
• 150 x 35 = 5250 so, 5250 is a multiple of 150.
• 150 x 36 = 5400 so, 5400 is a multiple of 150.
• 150 x 37 = 5550 so, 5550 is a multiple of 150.
• 150 x 38 = 5700 so, 5700 is a multiple of 150.
• 150 x 39 = 5850 so, 5850 is a multiple of 150.
• 150 x 40 = 6000 so, 6000 is a multiple of 150.
• 150 x 41 = 6150 so, 6150 is a multiple of 150.
• 150 x 42 = 6300 so, 6300 is a multiple of 150.
• 150 x 43 = 6450 so, 6450 is a multiple of 150.
• 150 x 44 = 6600 so, 6600 is a multiple of 150.
• 150 x 45 = 6750 so, 6750 is a multiple of 150.
• 150 x 46 = 6900 so, 6900 is a multiple of 150.
• 150 x 47 = 7050 so, 7050 is a multiple of 150.
• 150 x 48 = 7200 so, 7200 is a multiple of 150.
• 150 x 49 = 7350 so, 7350 is a multiple of 150.
• 150 x 50 = 7500 so, 7500 is a multiple of 150.
• 150 x 51 = 7650 so, 7650 is a multiple of 150.
• 150 x 52 = 7800 so, 7800 is a multiple of 150.
• 150 x 53 = 7950 so, 7950 is a multiple of 150.
• 150 x 54 = 8100 so, 8100 is a multiple of 150.
• 150 x 55 = 8250 so, 8250 is a multiple of 150.
• 150 x 56 = 8400 so, 8400 is a multiple of 150.
• 150 x 57 = 8550 so, 8550 is a multiple of 150.
• 150 x 58 = 8700 so, 8700 is a multiple of 150.
• 150 x 59 = 8850 so, 8850 is a multiple of 150.
• 150 x 60 = 9000 so, 9000 is a multiple of 150.
• 150 x 61 = 9150 so, 9150 is a multiple of 150.
• 150 x 62 = 9300 so, 9300 is a multiple of 150.
• 150 x 63 = 9450 so, 9450 is a multiple of 150.
• 150 x 64 = 9600 so, 9600 is a multiple of 150.
• 150 x 65 = 9750 so, 9750 is a multiple of 150.
• 150 x 66 = 9900 so, 9900 is a multiple of 150.
• 150 x 67 = 10050 so, 10050 is a multiple of 150.
• 150 x 68 = 10200 so, 10200 is a multiple of 150.
• 150 x 69 = 10350 so, 10350 is a multiple of 150.
• 150 x 70 = 10500 so, 10500 is a multiple of 150.
• 150 x 71 = 10650 so, 10650 is a multiple of 150.
• 150 x 72 = 10800 so, 10800 is a multiple of 150.
• 150 x 73 = 10950 so, 10950 is a multiple of 150.
• 150 x 74 = 11100 so, 11100 is a multiple of 150.
• 150 x 75 = 11250 so, 11250 is a multiple of 150.
• 150 x 76 = 11400 so, 11400 is a multiple of 150.
• 150 x 77 = 11550 so, 11550 is a multiple of 150.
• 150 x 78 = 11700 so, 11700 is a multiple of 150.
• 150 x 79 = 11850 so, 11850 is a multiple of 150.
• 150 x 80 = 12000 so, 12000 is a multiple of 150.
• 150 x 81 = 12150 so, 12150 is a multiple of 150.
• 150 x 82 = 12300 so, 12300 is a multiple of 150.
• 150 x 83 = 12450 so, 12450 is a multiple of 150.
• 150 x 84 = 12600 so, 12600 is a multiple of 150.
• 150 x 85 = 12750 so, 12750 is a multiple of 150.
• 150 x 86 = 12900 so, 12900 is a multiple of 150.
• 150 x 87 = 13050 so, 13050 is a multiple of 150.
• 150 x 88 = 13200 so, 13200 is a multiple of 150.
• 150 x 89 = 13350 so, 13350 is a multiple of 150.
• 150 x 90 = 13500 so, 13500 is a multiple of 150.
• 150 x 91 = 13650 so, 13650 is a multiple of 150.
• 150 x 92 = 13800 so, 13800 is a multiple of 150.
• 150 x 93 = 13950 so, 13950 is a multiple of 150.
• 150 x 94 = 14100 so, 14100 is a multiple of 150.
• 150 x 95 = 14250 so, 14250 is a multiple of 150.
• 150 x 96 = 14400 so, 14400 is a multiple of 150.
• 150 x 97 = 14550 so, 14550 is a multiple of 150.
• 150 x 98 = 14700 so, 14700 is a multiple of 150.
• 150 x 99 = 14850 so, 14850 is a multiple of 150.

The first 100 multiples of 150 are: 0, 150, 300, 450, 600, 750, 900, 1050, 1200, 1350, 1500, 1650, 1800, 1950, 2100, 2250, 2400, 2550, 2700, 2850, 3000, 3150, 3300, 3450, 3600, 3750, 3900, 4050, 4200, 4350, 4500, 4650, 4800, 4950, 5100, 5250, 5400, 5550, 5700, 5850, 6000, 6150, 6300, 6450, 6600, 6750, 6900, 7050, 7200, 7350, 7500, 7650, 7800, 7950, 8100, 8250, 8400, 8550, 8700, 8850, 9000, 9150, 9300, 9450, 9600, 9750, 9900, 10050, 10200, 10350, 10500, 10650, 10800, 10950, 11100, 11250, 11400, 11550, 11700, 11850, 12000, 12150, 12300, 12450, 12600, 12750, 12900, 13050, 13200, 13350, 13500, 13650, 13800, 13950, 14100, 14250, 14400, 14550, 14700, 14850.

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 150 is represented as M _{150 = {0, 150,300,450,600, ...}.}

Common Multiples

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

Example: if two numbers 150 and 3 are multiplied, then the result 450 is a common multiple of 150 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