List Multiples Of A Number Calculator - Online Multiple Lister - DCode

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Tool to list multiples of a number. A multiple of a number is another number calculated with the product of this number by an integer.

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Multiples of a Number - dCode

Tag(s) : Arithmetics, Series

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Multiples of a Number

1. Mathematics
2. Arithmetics
3. Multiples of a Number

Calculate multiples of a number N

Number (N=) Show details (multiples and divisors)

Calculate all multiples of N

List multiples See also: Divisors of a Number — Multiplication

Calculate the first multiples of N

List the K first multiples, K= List multiples

Calculate multiples of N that are between A and B

(A) Minimum value (B) Maximum value List multiples

Rounding to the closest multiple

⮞ Go to: Rounding Calculator

Multiple Checker (Is it a multiple of N?)

Multiple to check Number (N=) Check See also: Items in Common

Divisor Checker (Is it a multiple?)

⮞ Go to: Divisors of a Number

Calculus of common multiples to 2 numbers

Number 1 Number 2 List multiples See also: Items in Common

Lowest/Smallest common multiple LCM

⮞ Go to: LCM (Lowest Common Multiple)

Answers to Questions (FAQ)

What is a multiple? (Definition)

A multiple of a number $ n $ is a number obtained by multiplying $ n $ by an integer (positive or negative).

In other words, if $ k $ is an integer $ k \in \mathbb{Z} $, then $ k \times n $ is a multiple of $ n $.

Example: $ 6 $ is a multiple of $ 2 $ because $ 3 \times 2 = 6 $Similarly, $ -8 $ is a multiple of $ 4 $ because $ (-2) \times 4 = -8 $

How to list multiples of a number?

To list the multiples of a number $ n $, multiply $ n $ by each integer (a quantity/factor/coefficient that is positive $ 2, 3, 4, \dots $ or negative $ -1, -2, -3, \dots $)

Since there are infinitely many integers, there are infinitely many multiples of any number.

In practice, dCode sets a lower and upper bound to obtain a finite list (all multiples between A and B, up to 100, 1000, 10000 or more).

Example: $ n = 3 $, therefore $ n \times 2 = 6 $, and thus $ 6 $ is a multiple of $ 3 $$ n \times 3 = 9 $, therefore $ 9 $ is a multiple of $ 3 $, and so on ad infinitum.

Multiples of 1	1, 2, 3, 4, 5, 6, 7, 8, 9, 10, …
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, …
Multiples of 11	11, 22, 33, 44, 55, 66, 77, 88, 99, 110, …
Multiples of 12	12, 24, 36, 48, 60, 72, 84, 96, 108, 120, …
Multiples of 13	13, 26, 39, 52, 65, 78, 91, 104, 117, 130, …
Multiples of 14	14, 28, 42, 56, 70, 84, 98, 112, 126, 140, …
Multiples of 15	15, 30, 45, 60, 75, 90, 105, 120, 135, 150, …

For school multiplications, use a calculator here (affiliate link)

How to find if a number A is a multiple of B?

To check if a number $ A $ is a multiple of $ B $, divide $ A $ by $ B $. If the result is an integer (that is, the remainder of the Euclidean division is $ 0 $), then $ A $ is a multiple of $ B $ (and $ B $ is a divisor of $ A $).

Example: Is 60 a multiple of 4? Divide 60 by 4, 60/4 = 15 (integer without decimals after the decimal point), remain 0, so 60 is a multiple of 4 and 4 is a divisor of 60.

Example: Is 22 a multiple of 4? Divide 22 by 4, 22/4 = 5.5 (non-integer number, with decimals after decimal point) ie 22/4 = 5 + remainder 2, so 22 is not a multiple of 4 and 4 is not a divisor of 22.

How to find common multiples between two integer numbers?

To find the common multiples of two integers, list the multiples of each number and identify the numbers that appear in both lists.

The smallest of these common multiples is called the Least Common Multiple (LCM). All other common multiples are multiples of the LCM.

Example: The LCM for $ 3 $ and $ 8 $ is $ 24 $, the multiples common to $ 3 $ and $ 8 $ are all the multiples of $ 24 $ : $ 24, 48, 72, 96, \dots $

Is zero 0 a multiple?

Yes, $ 0 $ is a multiple of all integers (except $ 0 $ itself).

Indeed, for any number $ n \neq 0 $, $ 0 = n \times 0 $, which shows that $ 0 $ is indeed a multiple of $ n $.

In practice, it is often omitted from the list of multiples.

Are all numbers multiple of 1?

Yes, all numbers are multiples of 1 (and -1), because $ n = 1 \times n $ for any number $ n $.

However, 1 is not a multiple of all numbers.

Example: 2 is a multiple of 1, but 1 is not a multiple of 2.

What is the difference between a multiple and a divisor?

A multiple is a multiplication result, it is a number obtained by multiplying another number by an integer. A divisor, on the other hand, is a number by which another number can be divided without leaving a remainder. Divisors are also called factors.

Are there negative multiples?

Yes, multiples can be negative, but they are usually omitted because they are the same as positive multiples, by a factor of -1, so with a -(minus) in front.

What is the algorithm for generating the list of multiples of a number?

The list is infinite, but assuming a limit in number of multiples, here is a source code: // Pseudo-codefunction generateMultiples(n) { multiples = [] limit = 1000 for i from 1 to limit { multiple = n * i multiples []= multiple } return multiples} // Pythondef generate_multiples(n): multiples = [] limit = 1000 for i in range(1, limit + 1): multiple = n * i multiples.append(multiple) return multiples

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Summary

• Calculate multiples of a number N
• Multiple Checker (Is it a multiple of N?)
• Calculus of common multiples to 2 numbers
• What is a multiple? (Definition)
• How to list multiples of a number?
• How to find if a number A is a multiple of B?
• How to find common multiples between two integer numbers?
• Is zero 0 a multiple?
• Are all numbers multiple of 1?
• What is the difference between a multiple and a divisor?
• Are there negative multiples?
• What is the algorithm for generating the list of multiples of a number?

Similar pages

• Divisors of a Number
• Rounding Calculator
• Items in Common
• Multiplication
• LCM (Lowest Common Multiple)
• Pascal's Triangle
• Euclidean Division
• DCODE'S TOOLS LIST

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