Q: What are the factor combinations of the number 323,513,299?

 A:
Positive:   1 x 32351329929 x 11155631
Negative: -1 x -323513299-29 x -11155631


How do I find the factor combinations of the number 323,513,299?

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 323,513,299, 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.

1 323,513,299
-1 -323,513,299

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 323,513,299.

Example:
1 x 323,513,299 = 323,513,299
and
-1 x -323,513,299 = 323,513,299
Notice both answers equal 323,513,299

With that explanation out of the way, let's continue. Next, we take the number 323,513,299 and divide it by 2:

323,513,299 ÷ 2 = 161,756,649.5

If the quotient is a whole number, then 2 and 161,756,649.5 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:

1 323,513,299
-1 -323,513,299

Now, we try dividing 323,513,299 by 3:

323,513,299 ÷ 3 = 107,837,766.3333

If the quotient is a whole number, then 3 and 107,837,766.3333 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:

1 323,513,299
-1 -323,513,299

Let's try dividing by 4:

323,513,299 ÷ 4 = 80,878,324.75

If the quotient is a whole number, then 4 and 80,878,324.75 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:

1 323,513,299
-1 323,513,299
Keep dividing by the next highest number until you cannot divide anymore.

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

12911,155,631323,513,299
-1-29-11,155,631-323,513,299

More Examples

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