Q: What are the factor combinations of the number 327,206,135?

 A:
Positive:   1 x 3272061355 x 6544122743 x 760944561 x 5364035215 x 1521889305 x 1072807409 x 8000152045 x 1600032623 x 1247453721 x 8793513115 x 2494917587 x 18605
Negative: -1 x -327206135-5 x -65441227-43 x -7609445-61 x -5364035-215 x -1521889-305 x -1072807-409 x -800015-2045 x -160003-2623 x -124745-3721 x -87935-13115 x -24949-17587 x -18605


How do I find the factor combinations of the number 327,206,135?

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 327,206,135, 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.

1 327,206,135
-1 -327,206,135

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 327,206,135.

Example:
1 x 327,206,135 = 327,206,135
and
-1 x -327,206,135 = 327,206,135
Notice both answers equal 327,206,135

With that explanation out of the way, let's continue. Next, we take the number 327,206,135 and divide it by 2:

327,206,135 ÷ 2 = 163,603,067.5

If the quotient is a whole number, then 2 and 163,603,067.5 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:

1 327,206,135
-1 -327,206,135

Now, we try dividing 327,206,135 by 3:

327,206,135 ÷ 3 = 109,068,711.6667

If the quotient is a whole number, then 3 and 109,068,711.6667 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:

1 327,206,135
-1 -327,206,135

Let's try dividing by 4:

327,206,135 ÷ 4 = 81,801,533.75

If the quotient is a whole number, then 4 and 81,801,533.75 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:

1 327,206,135
-1 327,206,135
Keep dividing by the next highest number until you cannot divide anymore.

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

1543612153054092,0452,6233,72113,11517,58718,60524,94987,935124,745160,003800,0151,072,8071,521,8895,364,0357,609,44565,441,227327,206,135
-1-5-43-61-215-305-409-2,045-2,623-3,721-13,115-17,587-18,605-24,949-87,935-124,745-160,003-800,015-1,072,807-1,521,889-5,364,035-7,609,445-65,441,227-327,206,135

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