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.

Multiples of a Number - dCode

Tag(s) : Arithmetics, Series

dCode is free and its tools are a valuable help in games, maths, geocaching, puzzles and problems to solve every day!

A suggestion ? a feedback ? a bug ? an idea ? *Write to dCode*!

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} $)

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 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 (link)

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.

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)

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.

dCode retains ownership of the "Multiples of a Number" source code. Except explicit open source licence (indicated 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, or API access for "Multiples of a Number" are not public, same for offline use on PC, tablet, iPhone or Android !

The copy-paste of the page "Multiples of a Number" or any of its results, is allowed as long as you cite the online source

Reminder : dCode is free to use.

- 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?

multiple,factor,divisor,remainder,multiplication,coefficient,list,number,1,2,3,4,5,6,7,8,9

Source : https://www.dcode.fr/multiples-list-number

© 2022 dCode — The ultimate 'toolkit' to solve every games / riddles / geocaching / CTF.

Feedback