While it's usually fairly easy to factor small integers, larger numbers can be daunting. Most of us would be hard-pressed to break a 4 or 5-digit number into its prime factors using nothing but mental math. Luckily, using a table, the process becomes much easier. Write your number above a t-shaped table with two columns - you'll use this table to keep track of your growing list of factors. For the purpose of our example, let's choose a 4-digit number to factor - 6,552. Divide your number by the smallest prime factor (besides 1) that divides into it evenly with no remainder. Write the prime factor in the left column and write your answer across from it in the right column. As noted above, even numbers are especially easy to start factoring because their smallest prime factor will always be 2. Odd numbers, on the other hand, will have smallest prime factors that differ. In our example, since 6,552 is even, we know that 2 is its smallest prime factor. 6,552 2 = 3,276. In the left column, we'll write 2, and in the right column, write 3,276. Next, factor the number in the right column by its smallest prime factor, rather than the number at the top of the table. Write the prime factor in the left column and the new number in the right column. Continue to repeat this process - with each repetition, the number in the right column should decrease. Let's continue with our process. 3,276 2 = 1,638, so att the bottom of the left column, we'll write another 2, and at the bottom of the right column, we'll write 1,638. 1,638 2 = 819, so we'll write 2 and 819 at the bottom of the two columns as before. Odd numbers are more difficult to find the smallest prime factor of than even numbers because they don't automatically have 2 as their smallest prime factor. When you reach an odd number, try dividing by small prime numbers other than 2 - 3, 5, 7, 11, and so on - until you find one that divides evenly with no remainder. This is the number's smallest prime factor. In our example, we've reached 819. 819 is odd, so 2 is not a factor of 819. Instead of writing down another 2, we'll try the next prime number: 3. 819 3 = 273 with no remainder, so we'll write down 3 and 273. When guessing factors, you should try all prime numbers up to the square root of the largest factor found so far. If none of the factors you try up to this point divide evenly, you're probably trying to factor a prime number and thus are finished with the factoring process. Continue dividing the numbers in the right column by their smallest prime factor until you obtain a prime number in the right column. Divide this number by itself - this will put the number in the left column and "1" in the right column. Let's finish factoring our number. See below for a detailed breakdown: Divide by 3 again: 273 3 = 91, no remainder, so we'll write down 3 and 91. Let's try 3 again: 91 doesn't have 3 as a factor, nor does it have the next lowest prime (5) as a factor, but 91 7 = 13, with no remainder, so we'll write down 7 and 13. Let's try 7 again: 13 doesn't have 7 as a factor, or 11 (the next prime), but it does have itself as a factor: 13 13 = 1. So, to finish our table, we'll write down 13 and 1. We can finally stop factoring. Once you reach 1 in the right-hand column, you're done. The numbers listed on the left side of the table are your factors. In other words, the product when you multiply all of these numbers together will be the number at the top of the table. If the same factor appears multiple times, you can use exponent notation to save space. For instance, if your list of factors has four 2's, you can write 24 rather than 2 2 2 2. In our example 6,552 = 23 32 7 13. This is the complete factorization of 6,552 into prime numbers. No matter what order these numbers are multiplied in, the product will be 6,552.

Summary: Write your number above a 2-column table. Divide your number by the smallest possible prime factor. Continue to factor in this fashion. Deal with odd numbers by trying small prime factors. Continue until you reach 1. Use the numbers in the left-hand column as your original number's factors.

Although the decision may not be easy, one person will likely need to leave the house or apartment as soon as possible. It may not be clear as to who should leave, so have an open and honest discussion about the facts and logistics of the move and who is most suited for it. Try to stay as objective as you can while you work to decide who will leave. If you are able, consider volunteering to be the one who moves to make the choice easier. Sometimes issues may prevent someone from leaving the house or apartment. These issues are usually financial in nature. If this is the case, plan as best you can and work with the other person to make the living situation as comfortable as possible. In order to make the decision final, both parties will need to decide on an exact date that the move-out will happen either by or on. Setting this date will help keep the process moving and will make the move-out easier. Decide together which time-frames work best for both of you. Finalize a date that the move-out must happen either on or by. Stick to this date and work to make it happen. Before the move-out date arrives, you will need to make sure that the process is on schedule. Since you have both agreed upon an exact move-out date, it will help the process of breaking up if both parties stick to this date. Make sure you have both properly planned for the move-out and that everything is set up to make the process as smooth as can be. If you are the one moving out you will have to look for a new place to live, locate any roommates if needed, and start planning the packing and moving of your personal items. If your partner is moving-out, make sure that you are able to afford your current place of residence alone or start looking for roommates if you cannot.
Summary: Decide who will leave. Set the date. Make the move.