Q: What are the factor combinations of the number 323,313,185?

 A:
Positive:   1 x 3233131855 x 6466263713 x 2487024523 x 1405709565 x 4974049115 x 2811419299 x 10813151495 x 216263
Negative: -1 x -323313185-5 x -64662637-13 x -24870245-23 x -14057095-65 x -4974049-115 x -2811419-299 x -1081315-1495 x -216263


How do I find the factor combinations of the number 323,313,185?

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 323,313,185, 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.

1 323,313,185
-1 -323,313,185

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 323,313,185.

Example:
1 x 323,313,185 = 323,313,185
and
-1 x -323,313,185 = 323,313,185
Notice both answers equal 323,313,185

With that explanation out of the way, let's continue. Next, we take the number 323,313,185 and divide it by 2:

323,313,185 ÷ 2 = 161,656,592.5

If the quotient is a whole number, then 2 and 161,656,592.5 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:

1 323,313,185
-1 -323,313,185

Now, we try dividing 323,313,185 by 3:

323,313,185 ÷ 3 = 107,771,061.6667

If the quotient is a whole number, then 3 and 107,771,061.6667 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:

1 323,313,185
-1 -323,313,185

Let's try dividing by 4:

323,313,185 ÷ 4 = 80,828,296.25

If the quotient is a whole number, then 4 and 80,828,296.25 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:

1 323,313,185
-1 323,313,185
Keep dividing by the next highest number until you cannot divide anymore.

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

151323651152991,495216,2631,081,3152,811,4194,974,04914,057,09524,870,24564,662,637323,313,185
-1-5-13-23-65-115-299-1,495-216,263-1,081,315-2,811,419-4,974,049-14,057,095-24,870,245-64,662,637-323,313,185

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