Q: What are the factor combinations of the number 321,233,203?

 A:
Positive:   1 x 32123320323 x 1396666129 x 1107700747 x 6834749667 x 4816091081 x 2971631363 x 23568110247 x 31349
Negative: -1 x -321233203-23 x -13966661-29 x -11077007-47 x -6834749-667 x -481609-1081 x -297163-1363 x -235681-10247 x -31349


How do I find the factor combinations of the number 321,233,203?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 321,233,203, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 321,233,203
-1 -321,233,203

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 321,233,203.

Example:
1 x 321,233,203 = 321,233,203
and
-1 x -321,233,203 = 321,233,203
Notice both answers equal 321,233,203

With that explanation out of the way, let's continue. Next, we take the number 321,233,203 and divide it by 2:

321,233,203 ÷ 2 = 160,616,601.5

If the quotient is a whole number, then 2 and 160,616,601.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 321,233,203
-1 -321,233,203

Now, we try dividing 321,233,203 by 3:

321,233,203 ÷ 3 = 107,077,734.3333

If the quotient is a whole number, then 3 and 107,077,734.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 321,233,203
-1 -321,233,203

Let's try dividing by 4:

321,233,203 ÷ 4 = 80,308,300.75

If the quotient is a whole number, then 4 and 80,308,300.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 321,233,203
-1 321,233,203
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

12329476671,0811,36310,24731,349235,681297,163481,6096,834,74911,077,00713,966,661321,233,203
-1-23-29-47-667-1,081-1,363-10,247-31,349-235,681-297,163-481,609-6,834,749-11,077,007-13,966,661-321,233,203

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