# Euler Problem 004

## Mar 27, 2017 09:03 · 209 words · 1 minute read

### The problem

A palindromic number reads the same both ways. The largest palindrome made from the product of two 2-digit numbers is 9009 = 91 × 99.

Find the largest palindrome made from the product of two 3-digit numbers.

###### Solution

Now this guy is your daily warm up kind of easy. I created two functions. The first one simply checks a number to see if it is a palindrome. The second one accepts a number finds the largest multiplication combination that is a palindrome. Now I didn’t have to go all the way to zero, but since we are looking for the largest it should work for any number.

```
var isPallidrome = function(number){
var stringNumber = "" + number;
for(var i = 0; i < stringNumber.length / 2; i++){
var lastIndex = stringNumber.length - 1 - i;
if(stringNumber[i] !== stringNumber[lastIndex]){
return false;
}
}
return true;
}
var findPallidromes = function(number){
var largestPallidrome = -Infinity;
for(i = number; i > 0; i--){
for(j = number; j > 0; j--){
if(isPallidrome(i*j) && i*j > largestPallidrome){
largestPallidrome = i*j;
}
}
}
return largestPallidrome;
}
```

If you’d like to see the full code please see my daily toy problem exercises that I’ve been working on. It includes tests and a README.