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Multiples Calculator
List the multiples of any whole number, either the first N multiples or every multiple up to a limit, and check whether one number is a multiple of another.
First 20 multiples of 3: 20 multiples.
First 20 multiples of 3
- 3
- 6
- 9
- 12
- 15
- 18
- 21
- 24
- 27
- 30
- 33
- 36
- 39
- 42
- 45
- 48
- 51
- 54
- 57
- 60
Comma-separated list
3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60
Is one number a multiple of another?
28 ÷ 7 = 4, so 28 is a multiple of 7.
This multiples calculator lists the multiples of a number for classwork and practice sheets. Enter a whole number and choose the first N multiples, such as the first 20 multiples of 3, or every multiple up to a limit, such as the multiples of 3 up to 100. The list shows as a grid and as a comma-separated line you can copy. A second panel checks whether one number is a multiple of another and shows the division: 28 ÷ 4 = 7, so 28 is a multiple of 4.
What are multiples of a number?
A multiple of a number is what you get when you multiply that number by a whole number. The multiples of 3 are 3×1 = 3, 3×2 = 6, 3×3 = 9, and so on. Each multiple is one more step of the same size along the number line, so a list of multiples is the same as skip counting.
Every number has infinitely many multiples, because the list never stops. That is why a multiples calculator asks either how many multiples you want, such as the first 20 multiples of 3, or how far to go, such as the multiples of 3 up to 100. The first multiple of any number is the number itself, because anything times 1 is itself.
What are the multiples of 3, 2, 4 and other small numbers?
Here are the first ten multiples of the numbers students look up most. Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20. Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30. Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40. Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50.
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60. Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70. Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80. Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90. Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100.
Larger numbers work the same way. Multiples of 24: 24, 48, 72, 96, 120, 144, 168, 192, 216, 240. Multiples of 32: 32, 64, 96, 128, 160, 192, 224, 256, 288, 320. Type any whole number up to 1,000,000 into the calculator to get its list.
Multiples of 3 up to 100
All multiples of 3 up to 100 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96 and 99. That is 33 multiples, because 100 ÷ 3 is 33 with 1 left over. The next multiple, 102, is past 100.
The same division tells you how many multiples fit under any limit. There are 50 multiples of 2 up to 100, because 100 ÷ 2 = 50. There are 4 multiples of 24 up to 100, namely 24, 48, 72 and 96, because 100 ÷ 24 is 4 with 4 left over. Choose Multiples up to a limit in the calculator to see the full list for any number and limit.
How do you tell if one number is a multiple of another?
Divide. If the division comes out even, with no remainder, the first number is a multiple of the second. 28 ÷ 7 = 4, so 28 is a multiple of 7. 28 ÷ 5 = 5 remainder 3, so 28 is not a multiple of 5.
28 is a multiple of 1, 2, 4, 7, 14 and 28, because each of those divides 28 with nothing left over. Those numbers are the factors of 28. Multiples and factors are two sides of the same fact: 28 is a multiple of 4 exactly when 4 is a factor of 28. The Is one number a multiple of another panel on this page does the division and says yes or no.
Using lists of multiples in class
Lists of multiples come up when students learn times tables, skip count, find a common denominator, or look for the least common multiple of two numbers. Writing out the multiples of 4 and the multiples of 6 side by side shows that 12 is the first number in both lists, so 12 is their least common multiple.
The comma-separated line under the grid copies straight into a worksheet, a slide, or a spreadsheet. For a quick divisibility warm-up, list the multiples of a number up to 100 and ask students to spot the pattern in the last digits.
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Frequently Asked Questions
What are the multiples of 3?
The multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30 and so on, adding 3 each time. Every one of them is 3 times a whole number, and the list never ends.
What are the multiples of 24?
The first ten multiples of 24 are 24, 48, 72, 96, 120, 144, 168, 192, 216 and 240. Up to 100, the multiples of 24 are 24, 48, 72 and 96.
What are the multiples of 2?
The multiples of 2 are the even numbers: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 and so on. There are 50 multiples of 2 from 1 to 100.
28 is a multiple of which numbers?
28 is a multiple of 1, 2, 4, 7, 14 and 28. Each of these divides 28 with no remainder. For example, 28 ÷ 4 = 7. 28 is not a multiple of 5, because 28 ÷ 5 = 5 remainder 3.
Is 0 a multiple of every number?
Yes, because any number times 0 is 0. Lists of multiples in school usually start at the number times 1, so this calculator leaves 0 out and starts the list with the number itself.
What is the difference between a multiple and a factor?
A multiple is the number times a whole number, so multiples of 6 are 6, 12, 18 and larger. A factor divides the number evenly, so factors of 6 are 1, 2, 3 and 6. 12 is a multiple of 6, and 6 is a factor of 12.
How many multiples does a number have?
Infinitely many, because you can always multiply by the next whole number. That is why the calculator asks for the first N multiples, up to 200, or for every multiple up to a limit you set, up to 100,000.