Q: What are the factor combinations of the number 324,320,207?

 A:
Positive:   1 x 32432020737 x 8765411241 x 1345727983 x 3299291369 x 2369038917 x 36371
Negative: -1 x -324320207-37 x -8765411-241 x -1345727-983 x -329929-1369 x -236903-8917 x -36371


How do I find the factor combinations of the number 324,320,207?

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 324,320,207, 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.

1 324,320,207
-1 -324,320,207

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 324,320,207.

Example:
1 x 324,320,207 = 324,320,207
and
-1 x -324,320,207 = 324,320,207
Notice both answers equal 324,320,207

With that explanation out of the way, let's continue. Next, we take the number 324,320,207 and divide it by 2:

324,320,207 ÷ 2 = 162,160,103.5

If the quotient is a whole number, then 2 and 162,160,103.5 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:

1 324,320,207
-1 -324,320,207

Now, we try dividing 324,320,207 by 3:

324,320,207 ÷ 3 = 108,106,735.6667

If the quotient is a whole number, then 3 and 108,106,735.6667 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:

1 324,320,207
-1 -324,320,207

Let's try dividing by 4:

324,320,207 ÷ 4 = 81,080,051.75

If the quotient is a whole number, then 4 and 81,080,051.75 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:

1 324,320,207
-1 324,320,207
Keep dividing by the next highest number until you cannot divide anymore.

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

1372419831,3698,91736,371236,903329,9291,345,7278,765,411324,320,207
-1-37-241-983-1,369-8,917-36,371-236,903-329,929-1,345,727-8,765,411-324,320,207

More Examples

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