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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)

What is a multiple? (Definition)

A multiple of a number $ n $ is another number calculated by multiplying $ n $ by an integer (relative).

Example: $ k \times x $ is a multiple de $ x $ (with $ k \in \mathbb{Z} $)

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 (and -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

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