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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) : Arithmetics, Data processing

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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.

Answers to Questions

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 online 'Numbers Ending With...' tool source code. Except explicit open source licence (indicated CC / Creative Commons / free), any algorithm, applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any function (convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (PHP, Java, C#, Python, Javascript, Matlab, etc.) no data, script or API access will be for free, same for Numbers Ending With... download for offline use on PC, tablet, iPhone or Android !

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Source : https://www.dcode.fr/numbers-ending-with-some-digits
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