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Numbers Ending With...

Tool to list numbers that satisfy a condition on their last digits in order to list all numbers (up to X) ending with some given digits.

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Numbers Ending With... -

Tag(s) : Mathematics, Data processing

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# Numbers Ending With...

## Numbers Ending with... Generator

Tool to list numbers that satisfy a condition on their last digits in order to list all numbers (up to X) ending with some given digits.

### How to list numbers that ends with a given digit?

To list numbers with the same end digits, it is possible to browse all the integers in ascending order and check their last digits. Another faster method is to browse these same integers and to concatenate the final digit(s) to it.

Example: 5, 15, '25, 35 are the first numbers ending with 5 (and therefore all numbers are multiples of 5)

### How to list multiples of some numbers?

Some digits positioned at the end of the number make it possible to deduce that the number is a multiple of N (under some conditions).

Example: A number ending in 00 is necessarily multiple of 100 (but also 50, 25, 10, 5, and 2)

Example: A number ending in 5 is necessarily multiple of 5

Example: A number ending in 0, 2, 4, 6 or 8 is necessarily multiple of 2

### What is an automorphic number?

An automorphic number is a natural integer $n$ whose squared value $n^2$ ends with the same digits as the number itself.

Example: 76^2 = 5776

Example: 625^2 = 390625

## Source code

dCode retains ownership of the source code of the script Numbers Ending With... online. Except explicit open source licence (indicated Creative Commons / free), any algorithm, applet, snippet, software (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any function (convert, solve, decrypt, encrypt, decipher, cipher, decode, code, translate) written in any informatic langauge (PHP, Java, C#, Python, Javascript, Matlab, etc.) which dCode owns rights will not be released for free. To download the online Numbers Ending With... script for offline use on PC, iPhone or Android, ask for price quote on contact page !