Q: What are the factor combinations of the number 8,676,871?

 A:
Positive:   1 x 86768717 x 123955341 x 21163149 x 177079287 x 30233343 x 25297617 x 140632009 x 4319
Negative: -1 x -8676871-7 x -1239553-41 x -211631-49 x -177079-287 x -30233-343 x -25297-617 x -14063-2009 x -4319


How do I find the factor combinations of the number 8,676,871?

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 8,676,871, 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 8,676,871
-1 -8,676,871

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 8,676,871.

Example:
1 x 8,676,871 = 8,676,871
and
-1 x -8,676,871 = 8,676,871
Notice both answers equal 8,676,871

With that explanation out of the way, let's continue. Next, we take the number 8,676,871 and divide it by 2:

8,676,871 ÷ 2 = 4,338,435.5

If the quotient is a whole number, then 2 and 4,338,435.5 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 8,676,871
-1 -8,676,871

Now, we try dividing 8,676,871 by 3:

8,676,871 ÷ 3 = 2,892,290.3333

If the quotient is a whole number, then 3 and 2,892,290.3333 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 8,676,871
-1 -8,676,871

Let's try dividing by 4:

8,676,871 ÷ 4 = 2,169,217.75

If the quotient is a whole number, then 4 and 2,169,217.75 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 8,676,871
-1 8,676,871
Keep dividing by the next highest number until you cannot divide anymore.

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

1741492873436172,0094,31914,06325,29730,233177,079211,6311,239,5538,676,871
-1-7-41-49-287-343-617-2,009-4,319-14,063-25,297-30,233-177,079-211,631-1,239,553-8,676,871

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