1734 is obviously divisible by 2. 2 is the first and only even prime.

1734/2=867.

This is not divisible by 2, so we choose the next prime that is. How about 3?

867/3=289.

Now, the next prime that divides into 289 is 17.

289/17=17

17/17=1 and we're done.

We have one 2, one 3, and two 17's

Let's try another. Let's try 51894

51894/2=25947

25947/3=8649

8649/3=2883

2883/3=961

961/31=31

31/31=1

We have one 2, three 3's, and two 31's

There, did that help?.