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Multiples of a Number

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 -

Tag(s) : Arithmetics, Series

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Multiples of a Number

Calculate multiples of a number N



Calculate all multiples of N

Calculate the first multiples of N


Calculate multiples of N that are between A and B



Rounding to the closest multiple

Multiple Checker (Is it a multiple of N?)



See also: Items in Common

Divisor Checker (Is it a multiple?)

Calculus of common multiples to 2 numbers



See also: Items in Common

Lowest/Smallest common multiple LCM

Answers to Questions (FAQ)

How to list multiples of a number?

Take a number and multiply it by a quantity/factor/coefficient (2, 3, 4 etc.) to get a multiple.

It exists an infinite number of multiples, so it is impossible to list all multiples of a given number, dCode suggest to fix an upper and lower bound (all multiples between A and B).

Example: $ N = 3 $, so $ N \times 2 = 6 $, $ 6 $ is a multiple of $ 3 $,
$ N \times 3 = 9 $, $ 9 $ is a multiple of $ 3 $, etc.

Multiples of 11, 2, 3, 4, 5, 6, 7, 8, 9, 10, ...
Multiples of 22, 4, 6, 8, 10, 12, 14, 16, 18, 20, ...
Multiples of 33, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...
Multiples of 44, 8, 12, 16, 20, 24, 28, 32, 36, 40, ...
Multiples of 55, 10, 15, 20, 25, 30, 35, 40, 45, 50, ...
Multiples of 66, 12, 18, 24, 30, 36, 42, 48, 54, 60, ...
Multiples of 77, 14, 21, 28, 35, 42, 49, 56, 63, 70, ...
Multiples of 88, 16, 24, 32, 40, 48, 56, 64, 72, 80, ...
Multiples of 99, 18, 27, 36, 45, 54, 63, 72, 81, 90, ...
Multiples of 1010, 20, 30, 40, 50, 60, 70, 80, 90, 100, ...
Multiples of 1111, 22, 33, 44, 55, 66, 77, 88, 99, 110, ...
Multiples of 1212, 24, 36, 48, 60, 72, 84, 96, 108, 120, ...
Multiples of 1313, 26, 39, 52, 65, 78, 91, 104, 117, 130, ...
Multiples of 1414, 28, 42, 56, 70, 84, 98, 112, 126, 140, ...
Multiples of 1515, 30, 45, 60, 75, 90, 105, 120, 135, 150, ...

For school multiplications, use a calculator here (link)

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

Divide A by B, if the rest 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?

dCode has a tool to calculate the LCM (least common multiple) of two numbers. Other multiples are multiples of the given 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, ... $

Is zero 0 a multiple?

Yes, in theory, 0 is multiple of all numbers because whatever $ n $, $ 0 / n = 0 $. In practice, it is often omitted from the list of multiples.

Zero is a multiple of every integer (except itself)

Are all numbers multiple of 1?

Yes, all numbers are multiples of 1, but it is wrong to say that 1 is a multiple of all numbers, but it is true to say that 1 is a divisor of all numbers.

Source code

dCode retains ownership of the online "Multiples of a Number" source code. Except explicit open source licence (indicated CC / Creative Commons / free), the "Multiples of a Number" algorithm, the applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or the "Multiples of a Number" functions (calculate, convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (Python, Java, PHP, C#, Javascript, Matlab, etc.) and all data download, script, copy-paste, or API access for "Multiples of a Number" are not public, same for offline use on PC, tablet, iPhone or Android ! Remainder : dCode is free to use.

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