Q: What are the factor combinations of the number 326,850,359?

 A:
Positive:   1 x 32685035911 x 29713669859 x 3805019449 x 34591
Negative: -1 x -326850359-11 x -29713669-859 x -380501-9449 x -34591


How do I find the factor combinations of the number 326,850,359?

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 326,850,359, 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.

1 326,850,359
-1 -326,850,359

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 326,850,359.

Example:
1 x 326,850,359 = 326,850,359
and
-1 x -326,850,359 = 326,850,359
Notice both answers equal 326,850,359

With that explanation out of the way, let's continue. Next, we take the number 326,850,359 and divide it by 2:

326,850,359 ÷ 2 = 163,425,179.5

If the quotient is a whole number, then 2 and 163,425,179.5 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:

1 326,850,359
-1 -326,850,359

Now, we try dividing 326,850,359 by 3:

326,850,359 ÷ 3 = 108,950,119.6667

If the quotient is a whole number, then 3 and 108,950,119.6667 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:

1 326,850,359
-1 -326,850,359

Let's try dividing by 4:

326,850,359 ÷ 4 = 81,712,589.75

If the quotient is a whole number, then 4 and 81,712,589.75 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:

1 326,850,359
-1 326,850,359
Keep dividing by the next highest number until you cannot divide anymore.

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

1118599,44934,591380,50129,713,669326,850,359
-1-11-859-9,449-34,591-380,501-29,713,669-326,850,359

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 326,850,359:


Ask a Question