Q: What are the factor combinations of the number 868,231?

 A:
Positive:   1 x 8682317 x 12403313 x 6678729 x 2993947 x 1847349 x 1771991 x 9541203 x 4277329 x 2639377 x 2303611 x 1421637 x 1363
Negative: -1 x -868231-7 x -124033-13 x -66787-29 x -29939-47 x -18473-49 x -17719-91 x -9541-203 x -4277-329 x -2639-377 x -2303-611 x -1421-637 x -1363


How do I find the factor combinations of the number 868,231?

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 868,231, 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.

1 868,231
-1 -868,231

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 868,231.

Example:
1 x 868,231 = 868,231
and
-1 x -868,231 = 868,231
Notice both answers equal 868,231

With that explanation out of the way, let's continue. Next, we take the number 868,231 and divide it by 2:

868,231 ÷ 2 = 434,115.5

If the quotient is a whole number, then 2 and 434,115.5 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:

1 868,231
-1 -868,231

Now, we try dividing 868,231 by 3:

868,231 ÷ 3 = 289,410.3333

If the quotient is a whole number, then 3 and 289,410.3333 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:

1 868,231
-1 -868,231

Let's try dividing by 4:

868,231 ÷ 4 = 217,057.75

If the quotient is a whole number, then 4 and 217,057.75 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:

1 868,231
-1 868,231
Keep dividing by the next highest number until you cannot divide anymore.

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

1713294749912033293776116371,3631,4212,3032,6394,2779,54117,71918,47329,93966,787124,033868,231
-1-7-13-29-47-49-91-203-329-377-611-637-1,363-1,421-2,303-2,639-4,277-9,541-17,719-18,473-29,939-66,787-124,033-868,231

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