# Python Program for Largest K digit number divisible by X

• Last Updated : 03 Dec, 2018

Integers X and K are given. The task is to find highest K-digit number divisible by X.

Examples:

```Input : X = 30, K = 3
Output : 990
990 is the largest three digit
number divisible by 30.

Input : X = 7, K = 2
Output : 98
```

An efficient solution is to use below formula.

```ans = MAX - (MAX % X)
where MAX is the largest K digit
number which is  999...K-times```

The formula works on simple school method division. We remove remainder to get the largest divisible number.

 `# Python code to find highest ``# K-digit number divisible by X`` ` `def` `answer(X, K):``     ` `    ``# Computing MAX``    ``MAX` `=` `pow``(``10``, K) ``-` `1``     ` `    ``#returning ans``    ``return` `(``MAX` `-` `(``MAX` `%` `X))`` ` `X ``=` `30``; ``K ``=` `3``; `` ` `print``(answer(X, K)); `` ` `# Code contributes by Mohit Gupta_OMG <(0_o)>`

Output :

```990
```

Please refer complete article on Largest K digit number divisible by X for more details!

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