Q: What are the factor combinations of the number 328,425,683?

 A:
Positive:   1 x 32842568353 x 619671159 x 5566537127 x 2586029827 x 3971293127 x 1050296731 x 487937493 x 43831
Negative: -1 x -328425683-53 x -6196711-59 x -5566537-127 x -2586029-827 x -397129-3127 x -105029-6731 x -48793-7493 x -43831


How do I find the factor combinations of the number 328,425,683?

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 328,425,683, 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.

1 328,425,683
-1 -328,425,683

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 328,425,683.

Example:
1 x 328,425,683 = 328,425,683
and
-1 x -328,425,683 = 328,425,683
Notice both answers equal 328,425,683

With that explanation out of the way, let's continue. Next, we take the number 328,425,683 and divide it by 2:

328,425,683 ÷ 2 = 164,212,841.5

If the quotient is a whole number, then 2 and 164,212,841.5 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:

1 328,425,683
-1 -328,425,683

Now, we try dividing 328,425,683 by 3:

328,425,683 ÷ 3 = 109,475,227.6667

If the quotient is a whole number, then 3 and 109,475,227.6667 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:

1 328,425,683
-1 -328,425,683

Let's try dividing by 4:

328,425,683 ÷ 4 = 82,106,420.75

If the quotient is a whole number, then 4 and 82,106,420.75 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:

1 328,425,683
-1 328,425,683
Keep dividing by the next highest number until you cannot divide anymore.

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

153591278273,1276,7317,49343,83148,793105,029397,1292,586,0295,566,5376,196,711328,425,683
-1-53-59-127-827-3,127-6,731-7,493-43,831-48,793-105,029-397,129-2,586,029-5,566,537-6,196,711-328,425,683

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