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 C (judge verdict: Time Limit Exceeded)

#include <stdio.h>
int main()
{
    int n,i;
    scanf("%d",&n);
    printf("%d: ",n);
    i=2;
        while(n>0)
        {
        if(n%i==0)
            {printf("%d ",i);
        n=n/i;}
        if(n%i!=0)
            i++;
        }
        printf("\n");
    return 0;
}