Problem:
Prime Factorization

Factorize a given integer n.

Input

n

An integer n is given in a line.

Output

Print the given integer n and :. Then, print prime factors in ascending order. If n is divisible by a prime factor several times, the prime factor should be printed according to the number of times. Print a space before each prime factor.

Constraints

2 ≤ n ≤ 109

Sample Input 1

12

Sample Output 1

12: 2 2 3

Sample Input 2

126

Sample Output 2

126: 2 3 3 7

Solution in JavaScript (judge verdict: Wrong Answer)

var input = require('fs').readFileSync('/dev/stdin', 'utf8').trim();
var n = +input;
 
 
var primes = [];
 

for (var i = 2; i<n; i++) {
    while(n%i==0) {
        primes.push(i);
        n /= i;
    }
}

console.log(n + ': '); 
console.log(primes.join(' '));