Q: What are the factor combinations of the number 327,513,215?

 A:
Positive:   1 x 3275132155 x 6550264323 x 14239705115 x 2847941557 x 5879952785 x 1175995113 x 6405512811 x 25565
Negative: -1 x -327513215-5 x -65502643-23 x -14239705-115 x -2847941-557 x -587995-2785 x -117599-5113 x -64055-12811 x -25565


How do I find the factor combinations of the number 327,513,215?

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 327,513,215, 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.

1 327,513,215
-1 -327,513,215

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 327,513,215.

Example:
1 x 327,513,215 = 327,513,215
and
-1 x -327,513,215 = 327,513,215
Notice both answers equal 327,513,215

With that explanation out of the way, let's continue. Next, we take the number 327,513,215 and divide it by 2:

327,513,215 ÷ 2 = 163,756,607.5

If the quotient is a whole number, then 2 and 163,756,607.5 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:

1 327,513,215
-1 -327,513,215

Now, we try dividing 327,513,215 by 3:

327,513,215 ÷ 3 = 109,171,071.6667

If the quotient is a whole number, then 3 and 109,171,071.6667 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:

1 327,513,215
-1 -327,513,215

Let's try dividing by 4:

327,513,215 ÷ 4 = 81,878,303.75

If the quotient is a whole number, then 4 and 81,878,303.75 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:

1 327,513,215
-1 327,513,215
Keep dividing by the next highest number until you cannot divide anymore.

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

15231155572,7855,11312,81125,56564,055117,599587,9952,847,94114,239,70565,502,643327,513,215
-1-5-23-115-557-2,785-5,113-12,811-25,565-64,055-117,599-587,995-2,847,941-14,239,705-65,502,643-327,513,215

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