A program which displays the prime factors of a given number, all the 'hard' work is done by the **factorize()** function:

```
/* Find out the prime factors
* of a given number and print
* them on the screen */
void factorize(int n)
{
int d = 2;
if(n < 2) return;
printf("Prime factors of '%d': ", n);
/* while the factor being tested
* is lower than the number to factorize */
while(d < n) {
/* if valid prime factor */
if(n % d == 0) {
printf("%d x ", d);
n /= d;
}
/* else: invalid prime factor */
else {
if(d == 2) d = 3;
else d += 2;
}
}
/* print last prime factor */
printf("%d\n", d);
}
```

It's working should be clear, anyways, I've included some comments here and there.

When adapted to C++, you could simply modify this code to store all the prime factors into a vector or something, for later reuse.

(in C, you can also do something equal, if you choose the appropriate data structure)

Some *driver code* is included, if you want the code to be run in test mode, you'll have to add the following line to the top of this program: `#define TEST_DRIVER 1`

.

This is my output when the program is run in test mode:

```
Prime factors of '2': 2
Prime factors of '3': 3
Prime factors of '4': 2 x 2
Prime factors of '5': 5
Prime factors of '6': 2 x 3
Prime factors of '7': 7
Prime factors of '8': 2 x 2 x 2
Prime factors of '9': 3 x 3
Prime factors of '10': 2 x 5
Prime factors of '11': 11
Prime factors of '12': 2 x 2 x 3
Prime factors of '13': 13
Prime factors of '14': 2 x 7
Prime factors of '15': 3 x 5
Prime factors of '16': 2 x 2 x 2 x 2
Prime factors of '17': 17
Prime factors of '18': 2 x 3 x 3
Prime factors of '19': 19
Prime factors of '20': 2 x 2 x 5
Prime factors of '21': 3 x 7
Prime factors of '22': 2 x 11
Prime factors of '23': 23
Prime factors of '24': 2 x 2 x 2 x 3
Prime factors of '25': 5 x 5
Prime factors of '26': 2 x 13
Prime factors of '27': 3 x 3 x 3
Prime factors of '28': 2 x 2 x 7
Prime factors of '29': 29
Prime factors of '30': 2 x 3 x 5
Prime factors of '31': 31
Prime factors of '32': 2 x 2 x 2 x 2 x 2
Prime factors of '33': 3 x 11
Prime factors of '34': 2 x 17
Prime factors of '35': 5 x 7
Prime factors of '36': 2 x 2 x 3 x 3
Prime factors of '37': 37
Prime factors of '38': 2 x 19
Prime factors of '39': 3 x 13
Prime factors of '40': 2 x 2 x 2 x 5
Prime factors of '41': 41
Prime factors of '42': 2 x 3 x 7
Prime factors of '43': 43
Prime factors of '44': 2 x 2 x 11
Prime factors of '45': 3 x 3 x 5
Prime factors of '46': 2 x 23
Prime factors of '47': 47
Prime factors of '48': 2 x 2 x 2 x 2 x 3
Prime factors of '49': 7 x 7
```

That's it, enjoy!