Q: What are the factor combinations of the number 321,331,127?

 A:
Positive:   1 x 32133112713 x 2471777917 x 18901831221 x 1453987839 x 3829931733 x 18541910907 x 2946114263 x 22529
Negative: -1 x -321331127-13 x -24717779-17 x -18901831-221 x -1453987-839 x -382993-1733 x -185419-10907 x -29461-14263 x -22529


How do I find the factor combinations of the number 321,331,127?

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 321,331,127, 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.

1 321,331,127
-1 -321,331,127

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 321,331,127.

Example:
1 x 321,331,127 = 321,331,127
and
-1 x -321,331,127 = 321,331,127
Notice both answers equal 321,331,127

With that explanation out of the way, let's continue. Next, we take the number 321,331,127 and divide it by 2:

321,331,127 ÷ 2 = 160,665,563.5

If the quotient is a whole number, then 2 and 160,665,563.5 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:

1 321,331,127
-1 -321,331,127

Now, we try dividing 321,331,127 by 3:

321,331,127 ÷ 3 = 107,110,375.6667

If the quotient is a whole number, then 3 and 107,110,375.6667 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:

1 321,331,127
-1 -321,331,127

Let's try dividing by 4:

321,331,127 ÷ 4 = 80,332,781.75

If the quotient is a whole number, then 4 and 80,332,781.75 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:

1 321,331,127
-1 321,331,127
Keep dividing by the next highest number until you cannot divide anymore.

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

113172218391,73310,90714,26322,52929,461185,419382,9931,453,98718,901,83124,717,779321,331,127
-1-13-17-221-839-1,733-10,907-14,263-22,529-29,461-185,419-382,993-1,453,987-18,901,831-24,717,779-321,331,127

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