Q: What are the factor combinations of the number 321,201,605?

 A:
Positive:   1 x 3212016055 x 6424032159 x 5444095197 x 1630465295 x 1088819985 x 3260935527 x 5811511623 x 27635
Negative: -1 x -321201605-5 x -64240321-59 x -5444095-197 x -1630465-295 x -1088819-985 x -326093-5527 x -58115-11623 x -27635


How do I find the factor combinations of the number 321,201,605?

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 321,201,605, 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.

1 321,201,605
-1 -321,201,605

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 321,201,605.

Example:
1 x 321,201,605 = 321,201,605
and
-1 x -321,201,605 = 321,201,605
Notice both answers equal 321,201,605

With that explanation out of the way, let's continue. Next, we take the number 321,201,605 and divide it by 2:

321,201,605 ÷ 2 = 160,600,802.5

If the quotient is a whole number, then 2 and 160,600,802.5 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:

1 321,201,605
-1 -321,201,605

Now, we try dividing 321,201,605 by 3:

321,201,605 ÷ 3 = 107,067,201.6667

If the quotient is a whole number, then 3 and 107,067,201.6667 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:

1 321,201,605
-1 -321,201,605

Let's try dividing by 4:

321,201,605 ÷ 4 = 80,300,401.25

If the quotient is a whole number, then 4 and 80,300,401.25 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:

1 321,201,605
-1 321,201,605
Keep dividing by the next highest number until you cannot divide anymore.

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

15591972959855,52711,62327,63558,115326,0931,088,8191,630,4655,444,09564,240,321321,201,605
-1-5-59-197-295-985-5,527-11,623-27,635-58,115-326,093-1,088,819-1,630,465-5,444,095-64,240,321-321,201,605

More Examples

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