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Numbers Ending With...

Tool to list numbers that satisfy a condition on their last digits to list all numbers ending with certain 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 to list all numbers ending with certain digits.

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

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.

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