Q: What are the factor combinations of the number 320,432,207?

 A:
Positive:   1 x 32043220719 x 1686485361 x 525298783 x 38606291159 x 2764731577 x 2031913331 x 961975063 x 63289
Negative: -1 x -320432207-19 x -16864853-61 x -5252987-83 x -3860629-1159 x -276473-1577 x -203191-3331 x -96197-5063 x -63289


How do I find the factor combinations of the number 320,432,207?

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 320,432,207, 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.

1 320,432,207
-1 -320,432,207

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 320,432,207.

Example:
1 x 320,432,207 = 320,432,207
and
-1 x -320,432,207 = 320,432,207
Notice both answers equal 320,432,207

With that explanation out of the way, let's continue. Next, we take the number 320,432,207 and divide it by 2:

320,432,207 ÷ 2 = 160,216,103.5

If the quotient is a whole number, then 2 and 160,216,103.5 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:

1 320,432,207
-1 -320,432,207

Now, we try dividing 320,432,207 by 3:

320,432,207 ÷ 3 = 106,810,735.6667

If the quotient is a whole number, then 3 and 106,810,735.6667 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:

1 320,432,207
-1 -320,432,207

Let's try dividing by 4:

320,432,207 ÷ 4 = 80,108,051.75

If the quotient is a whole number, then 4 and 80,108,051.75 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:

1 320,432,207
-1 320,432,207
Keep dividing by the next highest number until you cannot divide anymore.

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

11961831,1591,5773,3315,06363,28996,197203,191276,4733,860,6295,252,98716,864,853320,432,207
-1-19-61-83-1,159-1,577-3,331-5,063-63,289-96,197-203,191-276,473-3,860,629-5,252,987-16,864,853-320,432,207

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